EPI553_HW02_Ekor_Karo.Rmd
Karo Ekor
2026-03-13
Submission: Knit this file to HTML, publish to RPubs with the title
epi553_hw02_lastname_firstname, and paste the RPubs URL in the Brightspace submission comments. Also upload this.Rmdfile to Brightspace.AI Policy: AI tools are NOT permitted on this assignment. See the assignment description for full details.
Part 0: Data Preparation (10 points)
# Import the dataset — update the path to wherever you saved bmd.xlsx
# If using CSV export: bmd <- read.csv('bmd.csv')
library(readxl)
bmd <- read_excel("~/R/site-library/Epi553/code/bmd.xlsx")
# Quick check
glimpse(bmd)## Rows: 2,898
## Columns: 14
## $ SEQN <dbl> 93705, 93708, 93709, 93711, 93713, 93714, 93715, 93716, 93721…
## $ RIAGENDR <dbl> 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2…
## $ RIDAGEYR <dbl> 66, 66, 75, 56, 67, 54, 71, 61, 60, 60, 64, 67, 70, 53, 57, 7…
## $ RIDRETH1 <dbl> 4, 5, 4, 5, 3, 4, 5, 5, 1, 3, 3, 1, 5, 4, 2, 3, 2, 4, 4, 3, 3…
## $ BMXBMI <chr> "31.7", "23.7", "38.9", "21.3", "23.5", "39.9", "22.5", "30.7…
## $ smoker <chr> "2", "3", "1", "3", "1", "2", "1", "2", "3", "3", "3", "2", "…
## $ totmet <chr> "240", "120", "720", "840", "360", "NA", "6320", "2400", "NA"…
## $ metcat <chr> "0", "0", "1", "1", "0", "NA", "2", "2", "NA", "NA", "2", "0"…
## $ DXXOFBMD <chr> "1.0580000000000001", "0.80100000000000005", "0.88", "0.85099…
## $ tbmdcat <chr> "0", "1", "0", "1", "1", "0", "0", "0", "NA", "1", "0", "0", …
## $ calcium <chr> "503.5", "473.5", "NA", "1248.5", "660.5", "776", "452", "853…
## $ vitd <chr> "1.85", "5.85", "NA", "3.85", "2.35", "5.65", "3.75", "4.45",…
## $ DSQTVD <chr> "20.556999999999999", "25", "NA", "25", "NA", "NA", "NA", "10…
## $ DSQTCALC <chr> "211.67", "820", "NA", "35", "13.33", "NA", "26.67", "1066.67…# Recode RIDRETH1 as a labeled factor
bmd <- bmd %>%
mutate(
RIDRETH1 = factor(RIDRETH1,
levels = 1:5,
labels = c("Mexican American", "Other Hispanic",
"Non-Hispanic White", "Non-Hispanic Black", "Other")),
# Recode RIAGENDR as a labeled factor
RIAGENDR = factor(RIAGENDR,
levels = c(1, 2),
labels = c("Male", "Female")),
# Recode smoker as a labeled factor
smoker = factor(smoker,
levels = c(1, 2, 3),
labels = c("Current", "Past", "Never"))
)## Total N: 2898## Missing DXXOFBMD: 0## Missing calcium: 0# Create the analytic dataset (exclude missing DXXOFBMD or calcium)
bmd_analytic <- bmd %>%
filter(!is.na(DXXOFBMD), !is.na(calcium))
cat("Final analytic N:", nrow(bmd_analytic), "\n")## Final analytic N: 2898The full dataset contains 2,898 observations across
14 variables. After excluding the 612 participants missing
DXXOFBMD and the 293 missing calcium (with
some overlap), the final analytic sample is n =
2,129.
Part 1: Exploratory Visualization (15 points)
Research Question: Is there a linear association between dietary calcium intake (calcium, mg/day) and total femur bone mineral density (DXXOFBMD, g/cm²)?
# Create a scatterplot with a fitted regression line
ggplot(bmd_analytic, aes(x = calcium, y = DXXOFBMD)) +
geom_point(alpha = 0.3) +
geom_smooth(method = "lm", se = FALSE, color = "purple3") +
labs(
title = "Dietary Calcium Intake and Total Femur Bone Mineral Density",
x = "Dietary Calcium Intake (mg/day)",
y = "Total Femur Bone Mineral Density (g/cm²)"
) +
theme_minimal()
Written interpretation:
The scatterplot shows a very modest positive linear trend between dietary calcium intake and total femur bone mineral density. As calcium intake increases, BMD tends to increase slightly. The fitted regression line barely has a positive slope, which suggests the relationship, while statistically present, is weak. The bulk of observations cluster between 0 and 2,000 mg/day of calcium, with considerable variability in BMD at any given calcium level.
Part 2: Simple Linear Regression (40 points)
Step 1 — Fit the Model (5 points)
# Fit the simple linear regression model
model <- bmd %>% lm(calcium, data = bmd_analytic)
# Display the full model summary
summary(model)##
## Call:
## lm(formula = ., data = bmd_analytic, subset = calcium)
##
## Residuals:
## Min 1Q Median 3Q Max
## -1.605e-09 -9.400e-12 0.000e+00 1.060e-11 4.682e-09
##
## Coefficients: (1123 not defined because of singularities)
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 2.812e+05 3.374e-08 8.334e+12 <2e-16 ***
## RIAGENDRFemale -1.121e+04 1.663e-09 -6.740e+12 <2e-16 ***
## RIDAGEYR 1.600e+03 3.177e-10 5.036e+12 <2e-16 ***
## RIDRETH1Other Hispanic -6.175e+04 1.234e-08 -5.005e+12 <2e-16 ***
## RIDRETH1Non-Hispanic White -9.894e+03 1.825e-09 -5.421e+12 <2e-16 ***
## RIDRETH1Non-Hispanic Black 2.175e+04 4.044e-09 5.377e+12 <2e-16 ***
## RIDRETH1Other -4.309e+04 7.828e-09 -5.505e+12 <2e-16 ***
## BMXBMI15.5 1.053e+05 1.922e-08 5.478e+12 <2e-16 ***
## BMXBMI16.7 -2.115e+05 3.888e-08 -5.439e+12 <2e-16 ***
## BMXBMI16.8 -1.594e+04 5.668e-09 -2.812e+12 <2e-16 ***
## BMXBMI17.100000000000001 8.801e+04 1.716e-08 5.129e+12 <2e-16 ***
## BMXBMI17.3 1.605e+05 2.793e-08 5.746e+12 <2e-16 ***
## BMXBMI17.7 1.320e+05 2.346e-08 5.627e+12 <2e-16 ***
## BMXBMI17.899999999999999 -5.831e+05 1.039e-07 -5.613e+12 <2e-16 ***
## BMXBMI18.100000000000001 2.766e+05 4.700e-08 5.884e+12 <2e-16 ***
## BMXBMI18.2 -3.632e+04 6.761e-09 -5.373e+12 <2e-16 ***
## BMXBMI18.5 -2.818e+05 5.339e-08 -5.279e+12 <2e-16 ***
## BMXBMI18.600000000000001 -5.896e+04 1.303e-08 -4.527e+12 <2e-16 ***
## BMXBMI18.8 -6.462e+04 1.186e-08 -5.447e+12 <2e-16 ***
## BMXBMI18.899999999999999 -1.121e+05 2.043e-08 -5.487e+12 <2e-16 ***
## BMXBMI19 8.490e+04 1.514e-08 5.607e+12 <2e-16 ***
## BMXBMI19.100000000000001 -4.365e+04 9.563e-09 -4.564e+12 <2e-16 ***
## BMXBMI19.2 -9.218e+04 1.720e-08 -5.360e+12 <2e-16 ***
## BMXBMI19.399999999999999 4.517e+04 7.988e-09 5.655e+12 <2e-16 ***
## BMXBMI19.600000000000001 1.291e+05 2.105e-08 6.133e+12 <2e-16 ***
## BMXBMI19.7 5.805e+05 1.084e-07 5.355e+12 <2e-16 ***
## BMXBMI19.8 4.733e+04 8.226e-09 5.754e+12 <2e-16 ***
## BMXBMI19.899999999999999 -1.782e+05 3.239e-08 -5.500e+12 <2e-16 ***
## BMXBMI20.100000000000001 9.200e+04 1.717e-08 5.359e+12 <2e-16 ***
## BMXBMI20.2 8.526e+04 1.417e-08 6.016e+12 <2e-16 ***
## BMXBMI20.3 -3.412e+05 6.000e-08 -5.687e+12 <2e-16 ***
## BMXBMI20.399999999999999 -2.433e+05 4.388e-08 -5.545e+12 <2e-16 ***
## BMXBMI20.5 4.672e+05 8.028e-08 5.820e+12 <2e-16 ***
## BMXBMI20.7 1.136e+05 2.173e-08 5.230e+12 <2e-16 ***
## BMXBMI20.8 -1.222e+05 2.206e-08 -5.539e+12 <2e-16 ***
## BMXBMI20.9 1.069e+05 1.942e-08 5.507e+12 <2e-16 ***
## BMXBMI21 3.683e+05 7.557e-08 4.874e+12 <2e-16 ***
## BMXBMI21.1 -3.805e+04 1.932e-08 -1.969e+12 <2e-16 ***
## BMXBMI21.2 -8.140e+02 1.552e-09 -5.246e+11 <2e-16 ***
## BMXBMI21.3 2.080e+05 3.742e-08 5.558e+12 <2e-16 ***
## BMXBMI21.5 2.366e+04 8.738e-09 2.707e+12 <2e-16 ***
## BMXBMI21.6 -1.121e+05 2.104e-08 -5.329e+12 <2e-16 ***
## BMXBMI21.7 5.041e+04 8.596e-09 5.864e+12 <2e-16 ***
## BMXBMI21.8 3.658e+04 6.553e-09 5.583e+12 <2e-16 ***
## BMXBMI21.9 -1.968e+05 3.668e-08 -5.366e+12 <2e-16 ***
## BMXBMI22 -3.699e+05 6.615e-08 -5.592e+12 <2e-16 ***
## BMXBMI22.1 -2.222e+05 4.110e-08 -5.407e+12 <2e-16 ***
## BMXBMI22.2 -2.971e+05 5.182e-08 -5.732e+12 <2e-16 ***
## BMXBMI22.3 1.315e+04 1.576e-09 8.345e+12 <2e-16 ***
## BMXBMI22.4 -1.297e+05 2.429e-08 -5.341e+12 <2e-16 ***
## BMXBMI22.5 -3.488e+05 6.380e-08 -5.468e+12 <2e-16 ***
## BMXBMI22.6 -1.945e+04 6.494e-09 -2.996e+12 <2e-16 ***
## BMXBMI22.7 9.523e+03 7.377e-09 1.291e+12 <2e-16 ***
## BMXBMI22.8 2.876e+05 4.902e-08 5.867e+12 <2e-16 ***
## BMXBMI22.9 -9.421e+04 1.798e-08 -5.241e+12 <2e-16 ***
## BMXBMI23 -9.165e+04 1.721e-08 -5.325e+12 <2e-16 ***
## BMXBMI23.1 -1.367e+05 2.551e-08 -5.357e+12 <2e-16 ***
## BMXBMI23.2 -5.459e+04 1.090e-08 -5.007e+12 <2e-16 ***
## BMXBMI23.3 -8.793e+04 1.625e-08 -5.411e+12 <2e-16 ***
## BMXBMI23.4 -1.073e+04 2.210e-09 -4.853e+12 <2e-16 ***
## BMXBMI23.5 2.683e+05 5.500e-08 4.877e+12 <2e-16 ***
## BMXBMI23.6 1.830e+05 3.943e-08 4.643e+12 <2e-16 ***
## BMXBMI23.7 -3.792e+05 6.724e-08 -5.640e+12 <2e-16 ***
## BMXBMI23.8 -3.707e+04 7.554e-09 -4.906e+12 <2e-16 ***
## BMXBMI23.9 -1.742e+04 4.181e-09 -4.167e+12 <2e-16 ***
## BMXBMI24 9.070e+03 1.348e-09 6.729e+12 <2e-16 ***
## BMXBMI24.1 2.421e+05 4.205e-08 5.756e+12 <2e-16 ***
## BMXBMI24.2 -1.039e+04 2.192e-09 -4.738e+12 <2e-16 ***
## BMXBMI24.3 -3.480e+03 1.231e-09 -2.828e+12 <2e-16 ***
## BMXBMI24.4 -2.755e+05 5.203e-08 -5.296e+12 <2e-16 ***
## BMXBMI24.5 -5.933e+04 1.134e-08 -5.233e+12 <2e-16 ***
## BMXBMI24.6 -3.105e+04 6.421e-09 -4.836e+12 <2e-16 ***
## BMXBMI24.7 -4.755e+05 8.255e-08 -5.760e+12 <2e-16 ***
## BMXBMI24.8 -5.240e+04 9.705e-09 -5.399e+12 <2e-16 ***
## BMXBMI24.9 -2.397e+05 4.409e-08 -5.436e+12 <2e-16 ***
## BMXBMI25 3.865e+05 6.706e-08 5.764e+12 <2e-16 ***
## BMXBMI25.1 -1.717e+04 3.362e-09 -5.109e+12 <2e-16 ***
## BMXBMI25.2 8.440e+04 2.109e-08 4.001e+12 <2e-16 ***
## BMXBMI25.3 -1.676e+05 2.330e-08 -7.194e+12 <2e-16 ***
## BMXBMI25.4 -1.365e+05 2.487e-08 -5.487e+12 <2e-16 ***
## BMXBMI25.5 -5.126e+04 9.766e-09 -5.248e+12 <2e-16 ***
## BMXBMI25.6 -1.085e+05 2.433e-08 -4.458e+12 <2e-16 ***
## BMXBMI25.7 -1.896e+05 3.566e-08 -5.318e+12 <2e-16 ***
## BMXBMI25.8 1.357e+05 2.447e-08 5.546e+12 <2e-16 ***
## BMXBMI25.9 7.765e+04 1.442e-08 5.384e+12 <2e-16 ***
## BMXBMI26 1.026e+04 4.503e-09 2.278e+12 <2e-16 ***
## BMXBMI26.1 -9.376e+04 1.728e-08 -5.427e+12 <2e-16 ***
## BMXBMI26.2 -9.148e+04 1.633e-08 -5.603e+12 <2e-16 ***
## BMXBMI26.3 -2.303e+04 4.509e-09 -5.107e+12 <2e-16 ***
## BMXBMI26.4 1.723e+05 4.074e-08 4.228e+12 <2e-16 ***
## BMXBMI26.5 -4.962e+04 9.941e-09 -4.991e+12 <2e-16 ***
## BMXBMI26.6 -3.739e+05 6.584e-08 -5.678e+12 <2e-16 ***
## BMXBMI26.7 -2.372e+04 4.883e-09 -4.858e+12 <2e-16 ***
## BMXBMI26.8 -4.717e+03 2.162e-09 -2.182e+12 <2e-16 ***
## BMXBMI26.9 -2.798e+05 5.118e-08 -5.467e+12 <2e-16 ***
## BMXBMI27 3.403e+05 5.925e-08 5.742e+12 <2e-16 ***
## BMXBMI27.1 -5.942e+04 1.116e-08 -5.327e+12 <2e-16 ***
## BMXBMI27.2 -2.065e+03 1.047e-08 -1.972e+11 <2e-16 ***
## BMXBMI27.3 -4.885e+05 8.806e-08 -5.547e+12 <2e-16 ***
## BMXBMI27.4 -2.410e+04 5.545e-09 -4.347e+12 <2e-16 ***
## BMXBMI27.5 -1.653e+05 3.059e-08 -5.403e+12 <2e-16 ***
## BMXBMI27.6 -9.563e+05 1.737e-07 -5.505e+12 <2e-16 ***
## BMXBMI27.7 -3.648e+04 6.200e-09 -5.884e+12 <2e-16 ***
## BMXBMI27.8 1.404e+05 2.722e-08 5.157e+12 <2e-16 ***
## BMXBMI27.9 -1.460e+05 2.709e-08 -5.390e+12 <2e-16 ***
## BMXBMI28 -8.277e+04 1.547e-08 -5.350e+12 <2e-16 ***
## BMXBMI28.1 4.895e+04 7.996e-09 6.121e+12 <2e-16 ***
## BMXBMI28.2 -1.601e+05 2.914e-08 -5.494e+12 <2e-16 ***
## BMXBMI28.3 8.618e+04 1.619e-08 5.322e+12 <2e-16 ***
## BMXBMI28.4 -8.419e+04 1.500e-08 -5.611e+12 <2e-16 ***
## BMXBMI28.5 6.538e+04 1.725e-08 3.791e+12 <2e-16 ***
## BMXBMI28.6 -1.873e+05 3.741e-08 -5.006e+12 <2e-16 ***
## BMXBMI28.7 -1.352e+05 2.495e-08 -5.418e+12 <2e-16 ***
## BMXBMI28.8 6.099e+04 1.087e-08 5.611e+12 <2e-16 ***
## BMXBMI28.9 -2.952e+05 5.217e-08 -5.659e+12 <2e-16 ***
## BMXBMI29 -4.725e+05 8.555e-08 -5.523e+12 <2e-16 ***
## BMXBMI29.1 2.824e+04 5.795e-09 4.873e+12 <2e-16 ***
## BMXBMI29.2 -9.089e+04 1.720e-08 -5.285e+12 <2e-16 ***
## BMXBMI29.3 -2.598e+05 4.580e-08 -5.672e+12 <2e-16 ***
## BMXBMI29.4 -5.339e+04 8.047e-09 -6.634e+12 <2e-16 ***
## BMXBMI29.5 -3.346e+04 6.168e-09 -5.425e+12 <2e-16 ***
## BMXBMI29.6 -1.642e+05 3.036e-08 -5.408e+12 <2e-16 ***
## BMXBMI29.7 -1.258e+05 2.363e-08 -5.324e+12 <2e-16 ***
## BMXBMI29.8 -8.631e+03 2.715e-09 -3.180e+12 <2e-16 ***
## BMXBMI29.9 -5.939e+04 1.117e-08 -5.317e+12 <2e-16 ***
## BMXBMI30 -9.665e+04 1.943e-08 -4.973e+12 <2e-16 ***
## BMXBMI30.1 -1.043e+05 1.866e-08 -5.591e+12 <2e-16 ***
## BMXBMI30.2 -2.463e+05 4.349e-08 -5.665e+12 <2e-16 ***
## BMXBMI30.3 -9.258e+04 1.720e-08 -5.382e+12 <2e-16 ***
## BMXBMI30.4 -1.031e+06 1.891e-07 -5.451e+12 <2e-16 ***
## BMXBMI30.5 -1.910e+05 3.561e-08 -5.364e+12 <2e-16 ***
## BMXBMI30.6 9.160e+04 1.603e-08 5.714e+12 <2e-16 ***
## BMXBMI30.7 -1.341e+05 2.425e-08 -5.528e+12 <2e-16 ***
## BMXBMI30.8 -5.887e+05 1.057e-07 -5.568e+12 <2e-16 ***
## BMXBMI30.9 1.084e+05 1.998e-08 5.423e+12 <2e-16 ***
## BMXBMI31 -1.085e+04 2.459e-09 -4.412e+12 <2e-16 ***
## BMXBMI31.1 -8.032e+04 1.512e-08 -5.311e+12 <2e-16 ***
## BMXBMI31.2 6.082e+04 1.191e-08 5.106e+12 <2e-16 ***
## BMXBMI31.3 -4.307e+05 7.630e-08 -5.645e+12 <2e-16 ***
## BMXBMI31.4 -5.886e+04 1.118e-08 -5.266e+12 <2e-16 ***
## BMXBMI31.5 2.791e+05 4.960e-08 5.627e+12 <2e-16 ***
## BMXBMI31.6 4.089e+05 7.851e-08 5.209e+12 <2e-16 ***
## BMXBMI31.7 2.781e+05 4.989e-08 5.575e+12 <2e-16 ***
## BMXBMI31.8 -6.364e+05 1.145e-07 -5.557e+12 <2e-16 ***
## BMXBMI31.9 -1.354e+05 2.395e-08 -5.651e+12 <2e-16 ***
## BMXBMI32 9.787e+04 1.628e-08 6.010e+12 <2e-16 ***
## BMXBMI32.1 -6.673e+04 1.214e-08 -5.495e+12 <2e-16 ***
## BMXBMI32.200000000000003 -8.952e+04 1.720e-08 -5.205e+12 <2e-16 ***
## BMXBMI32.299999999999997 9.633e+04 1.604e-08 6.007e+12 <2e-16 ***
## BMXBMI32.4 -2.865e+04 5.689e-09 -5.036e+12 <2e-16 ***
## BMXBMI32.5 -1.115e+04 8.957e-09 -1.245e+12 <2e-16 ***
## BMXBMI32.6 3.083e+04 7.234e-09 4.262e+12 <2e-16 ***
## BMXBMI32.799999999999997 2.465e+04 6.917e-09 3.564e+12 <2e-16 ***
## BMXBMI32.9 1.854e+05 3.465e-08 5.349e+12 <2e-16 ***
## BMXBMI33 -3.953e+04 7.996e-09 -4.944e+12 <2e-16 ***
## BMXBMI33.1 5.298e+05 9.774e-08 5.420e+12 <2e-16 ***
## BMXBMI33.200000000000003 -1.915e+05 3.525e-08 -5.432e+12 <2e-16 ***
## BMXBMI33.299999999999997 -1.662e+05 3.152e-08 -5.272e+12 <2e-16 ***
## BMXBMI33.4 -1.389e+06 2.507e-07 -5.541e+12 <2e-16 ***
## BMXBMI33.5 -2.575e+03 3.710e-09 -6.941e+11 <2e-16 ***
## BMXBMI33.6 -3.504e+05 6.175e-08 -5.675e+12 <2e-16 ***
## BMXBMI33.700000000000003 -1.370e+05 2.680e-08 -5.114e+12 <2e-16 ***
## BMXBMI33.799999999999997 -7.999e+04 1.611e-08 -4.965e+12 <2e-16 ***
## BMXBMI33.9 -8.747e+03 1.769e-09 -4.945e+12 <2e-16 ***
## BMXBMI34 -2.218e+04 3.991e-09 -5.557e+12 <2e-16 ***
## BMXBMI34.1 -6.049e+05 1.066e-07 -5.676e+12 <2e-16 ***
## BMXBMI34.200000000000003 -2.913e+05 5.232e-08 -5.567e+12 <2e-16 ***
## BMXBMI34.299999999999997 -1.210e+04 4.328e-09 -2.795e+12 <2e-16 ***
## BMXBMI34.4 -1.365e+05 2.547e-08 -5.358e+12 <2e-16 ***
## BMXBMI34.5 -2.700e+05 5.254e-08 -5.139e+12 <2e-16 ***
## BMXBMI34.6 -5.944e+04 1.165e-08 -5.104e+12 <2e-16 ***
## BMXBMI34.700000000000003 -1.124e+05 2.136e-08 -5.263e+12 <2e-16 ***
## BMXBMI34.799999999999997 -1.655e+05 3.121e-08 -5.301e+12 <2e-16 ***
## BMXBMI34.9 1.033e+04 5.271e-09 1.960e+12 <2e-16 ***
## BMXBMI35 1.658e+05 2.725e-08 6.086e+12 <2e-16 ***
## BMXBMI35.1 3.234e+04 5.484e-09 5.897e+12 <2e-16 ***
## BMXBMI35.200000000000003 -1.283e+03 1.197e-09 -1.072e+12 <2e-16 ***
## BMXBMI35.299999999999997 -5.364e+04 1.007e-08 -5.329e+12 <2e-16 ***
## BMXBMI35.4 -1.634e+05 2.968e-08 -5.504e+12 <2e-16 ***
## BMXBMI35.5 -5.734e+04 1.069e-08 -5.365e+12 <2e-16 ***
## BMXBMI35.6 -1.176e+05 2.141e-08 -5.495e+12 <2e-16 ***
## BMXBMI35.700000000000003 -1.137e+05 2.109e-08 -5.393e+12 <2e-16 ***
## BMXBMI35.799999999999997 -7.609e+04 1.417e-08 -5.369e+12 <2e-16 ***
## BMXBMI35.9 -6.030e+04 1.165e-08 -5.178e+12 <2e-16 ***
## BMXBMI36 1.231e+05 2.118e-08 5.812e+12 <2e-16 ***
## BMXBMI36.1 -3.970e+04 8.232e-09 -4.823e+12 <2e-16 ***
## BMXBMI36.200000000000003 -2.122e+05 4.020e-08 -5.278e+12 <2e-16 ***
## BMXBMI36.299999999999997 -1.174e+05 2.152e-08 -5.456e+12 <2e-16 ***
## BMXBMI36.4 -8.565e+04 1.725e-08 -4.966e+12 <2e-16 ***
## BMXBMI36.5 -2.593e+04 1.130e-08 -2.294e+12 <2e-16 ***
## BMXBMI36.6 9.208e+04 1.751e-08 5.260e+12 <2e-16 ***
## BMXBMI36.700000000000003 -1.879e+05 3.574e-08 -5.256e+12 <2e-16 ***
## BMXBMI36.799999999999997 -9.851e+04 1.855e-08 -5.310e+12 <2e-16 ***
## BMXBMI36.9 -1.456e+04 1.569e-08 -9.282e+11 <2e-16 ***
## BMXBMI37.1 -2.102e+05 3.700e-08 -5.680e+12 <2e-16 ***
## BMXBMI37.200000000000003 -1.309e+05 2.367e-08 -5.528e+12 <2e-16 ***
## BMXBMI37.299999999999997 -2.898e+05 5.795e-08 -5.001e+12 <2e-16 ***
## BMXBMI37.4 -2.330e+05 4.515e-08 -5.162e+12 <2e-16 ***
## BMXBMI37.5 -1.099e+05 2.046e-08 -5.370e+12 <2e-16 ***
## BMXBMI37.6 -1.353e+05 2.457e-08 -5.506e+12 <2e-16 ***
## BMXBMI37.799999999999997 -6.767e+05 1.232e-07 -5.491e+12 <2e-16 ***
## BMXBMI37.9 3.632e+03 4.041e-09 8.988e+11 <2e-16 ***
## BMXBMI38.1 -6.978e+04 1.355e-08 -5.150e+12 <2e-16 ***
## BMXBMI38.200000000000003 -4.526e+04 7.509e-09 -6.028e+12 <2e-16 ***
## BMXBMI38.4 -9.346e+04 1.802e-08 -5.185e+12 <2e-16 ***
## BMXBMI38.5 1.004e+04 7.424e-09 1.352e+12 <2e-16 ***
## BMXBMI38.6 -8.015e+04 1.579e-08 -5.077e+12 <2e-16 ***
## BMXBMI38.700000000000003 -3.261e+05 6.001e-08 -5.434e+12 <2e-16 ***
## BMXBMI38.799999999999997 -6.369e+04 1.254e-08 -5.078e+12 <2e-16 ***
## BMXBMI38.9 2.739e+05 4.397e-08 6.229e+12 <2e-16 ***
## BMXBMI39.1 -9.619e+04 1.822e-08 -5.279e+12 <2e-16 ***
## BMXBMI39.299999999999997 2.073e+05 4.149e-08 4.995e+12 <2e-16 ***
## BMXBMI39.4 -1.358e+05 2.521e-08 -5.388e+12 <2e-16 ***
## BMXBMI39.5 -1.369e+05 2.436e-08 -5.620e+12 <2e-16 ***
## BMXBMI39.700000000000003 -1.494e+05 2.926e-08 -5.106e+12 <2e-16 ***
## BMXBMI39.799999999999997 -9.265e+04 1.671e-08 -5.544e+12 <2e-16 ***
## BMXBMI40 -1.006e+06 1.885e-07 -5.339e+12 <2e-16 ***
## BMXBMI40.1 -2.695e+05 4.981e-08 -5.412e+12 <2e-16 ***
## BMXBMI40.200000000000003 7.614e+04 1.514e-08 5.030e+12 <2e-16 ***
## BMXBMI40.299999999999997 -1.378e+05 2.649e-08 -5.203e+12 <2e-16 ***
## BMXBMI40.4 -8.215e+04 1.561e-08 -5.264e+12 <2e-16 ***
## BMXBMI40.6 -9.715e+04 1.747e-08 -5.560e+12 <2e-16 ***
## BMXBMI40.799999999999997 -1.678e+05 3.341e-08 -5.022e+12 <2e-16 ***
## BMXBMI41 -1.216e+05 2.233e-08 -5.445e+12 <2e-16 ***
## BMXBMI41.1 -1.578e+05 3.064e-08 -5.150e+12 <2e-16 ***
## BMXBMI41.2 -6.903e+04 1.346e-08 -5.129e+12 <2e-16 ***
## BMXBMI41.4 6.431e+03 3.080e-09 2.088e+12 <2e-16 ***
## BMXBMI41.5 -1.387e+04 3.183e-09 -4.358e+12 <2e-16 ***
## BMXBMI41.6 -6.243e+04 1.296e-08 -4.817e+12 <2e-16 ***
## BMXBMI41.7 -2.839e+04 3.845e-09 -7.384e+12 <2e-16 ***
## BMXBMI41.9 -1.423e+05 2.809e-08 -5.065e+12 <2e-16 ***
## BMXBMI42 -5.175e+04 9.593e-09 -5.394e+12 <2e-16 ***
## BMXBMI42.1 -3.431e+05 6.067e-08 -5.656e+12 <2e-16 ***
## BMXBMI42.7 -5.298e+04 1.024e-08 -5.174e+12 <2e-16 ***
## BMXBMI42.8 4.640e+05 8.380e-08 5.537e+12 <2e-16 ***
## BMXBMI43 3.152e+05 5.996e-08 5.257e+12 <2e-16 ***
## BMXBMI43.2 -2.509e+05 4.556e-08 -5.507e+12 <2e-16 ***
## BMXBMI43.3 1.794e+05 3.235e-08 5.547e+12 <2e-16 ***
## BMXBMI43.4 -1.119e+05 2.087e-08 -5.360e+12 <2e-16 ***
## BMXBMI43.6 3.429e+04 7.580e-09 4.524e+12 <2e-16 ***
## BMXBMI43.7 2.932e+05 5.214e-08 5.623e+12 <2e-16 ***
## BMXBMI43.8 -1.993e+04 4.196e-09 -4.749e+12 <2e-16 ***
## BMXBMI44 -1.124e+05 2.136e-08 -5.263e+12 <2e-16 ***
## BMXBMI44.1 5.746e+04 1.136e-08 5.058e+12 <2e-16 ***
## BMXBMI44.2 -3.068e+05 5.663e-08 -5.418e+12 <2e-16 ***
## BMXBMI44.6 3.063e+04 7.028e-09 4.358e+12 <2e-16 ***
## BMXBMI45.1 -1.414e+05 2.817e-08 -5.020e+12 <2e-16 ***
## BMXBMI46.2 4.395e+05 7.967e-08 5.517e+12 <2e-16 ***
## BMXBMI47 9.699e+04 1.859e-08 5.216e+12 <2e-16 ***
## BMXBMI47.5 -1.633e+05 2.846e-08 -5.738e+12 <2e-16 ***
## BMXBMI48 -7.717e+04 1.449e-08 -5.326e+12 <2e-16 ***
## BMXBMI48.1 1.577e+05 2.858e-08 5.517e+12 <2e-16 ***
## BMXBMI48.4 1.054e+05 2.239e-08 4.708e+12 <2e-16 ***
## BMXBMI49.1 -2.217e+05 4.031e-08 -5.499e+12 <2e-16 ***
## BMXBMI49.3 -8.637e+04 1.598e-08 -5.404e+12 <2e-16 ***
## BMXBMI49.6 -5.298e+03 3.470e-09 -1.527e+12 <2e-16 ***
## BMXBMI49.8 -4.677e+05 8.253e-08 -5.667e+12 <2e-16 ***
## BMXBMI50.3 -7.044e+04 1.185e-08 -5.947e+12 <2e-16 ***
## BMXBMI50.7 -1.782e+05 3.017e-08 -5.905e+12 <2e-16 ***
## BMXBMI50.8 3.068e+05 5.340e-08 5.746e+12 <2e-16 ***
## BMXBMI51.5 5.803e+05 1.017e-07 5.709e+12 <2e-16 ***
## BMXBMI52 -3.923e+04 6.180e-09 -6.348e+12 <2e-16 ***
## BMXBMI52.4 -6.886e+04 1.283e-08 -5.367e+12 <2e-16 ***
## BMXBMI52.6 1.833e+05 3.262e-08 5.619e+12 <2e-16 ***
## BMXBMI52.8 -6.408e+04 1.035e-08 -6.190e+12 <2e-16 ***
## BMXBMI53.7 -1.206e+05 2.172e-08 -5.553e+12 <2e-16 ***
## BMXBMI56.3 1.420e+05 2.840e-08 5.002e+12 <2e-16 ***
## BMXBMI61.6 -1.638e+05 3.017e-08 -5.428e+12 <2e-16 ***
## BMXBMI63.4 -1.167e+05 2.219e-08 -5.260e+12 <2e-16 ***
## BMXBMINA -9.113e+04 1.721e-08 -5.296e+12 <2e-16 ***
## smokerPast 7.283e+04 1.310e-08 5.557e+12 <2e-16 ***
## smokerNever 6.289e+04 1.151e-08 5.466e+12 <2e-16 ***
## totmet100 -2.587e+05 5.037e-08 -5.137e+12 <2e-16 ***
## totmet1000 -3.161e+05 5.688e-08 -5.557e+12 <2e-16 ***
## totmet1040 7.024e+04 1.155e-08 6.083e+12 <2e-16 ***
## totmet1060 -1.735e+05 3.532e-08 -4.913e+12 <2e-16 ***
## totmet1080 -3.764e+05 7.198e-08 -5.229e+12 <2e-16 ***
## totmet1100 -4.167e+04 1.140e-08 -3.655e+12 <2e-16 ***
## totmet1120 -1.008e+05 1.990e-08 -5.066e+12 <2e-16 ***
## totmet1140 -8.992e+05 1.679e-07 -5.356e+12 <2e-16 ***
## totmet120 -2.321e+05 4.426e-08 -5.243e+12 <2e-16 ***
## totmet1200 -1.793e+05 3.523e-08 -5.089e+12 <2e-16 ***
## totmet1320 3.281e+05 5.639e-08 5.818e+12 <2e-16 ***
## totmet1360 -2.418e+04 1.103e-08 -2.193e+12 <2e-16 ***
## totmet1400 -1.567e+06 2.826e-07 -5.544e+12 <2e-16 ***
## totmet144 -3.782e+05 6.536e-08 -5.786e+12 <2e-16 ***
## totmet1440 -1.957e+05 3.611e-08 -5.421e+12 <2e-16 ***
## totmet1520 -4.541e+05 8.268e-08 -5.492e+12 <2e-16 ***
## totmet1560 NA NA NA NA
## totmet160 -2.931e+05 5.609e-08 -5.226e+12 <2e-16 ***
## totmet1600 -3.061e+05 6.325e-08 -4.839e+12 <2e-16 ***
## totmet1624 -3.285e+05 5.647e-08 -5.817e+12 <2e-16 ***
## totmet1680 -2.850e+05 5.324e-08 -5.353e+12 <2e-16 ***
## totmet1760 -2.553e+05 4.736e-08 -5.391e+12 <2e-16 ***
## totmet180 -2.766e+05 5.196e-08 -5.322e+12 <2e-16 ***
## totmet1800 -7.903e+05 1.454e-07 -5.434e+12 <2e-16 ***
## totmet1860 -1.944e+05 4.075e-08 -4.770e+12 <2e-16 ***
## totmet1880 -3.409e+05 6.396e-08 -5.330e+12 <2e-16 ***
## totmet1920 -2.723e+05 5.086e-08 -5.354e+12 <2e-16 ***
## totmet200 -1.920e+05 3.640e-08 -5.275e+12 <2e-16 ***
## totmet2000 -3.877e+05 7.846e-08 -4.942e+12 <2e-16 ***
## totmet2080 -5.366e+05 9.773e-08 -5.491e+12 <2e-16 ***
## totmet2100 -6.501e+05 1.174e-07 -5.540e+12 <2e-16 ***
## totmet2160 -4.312e+05 8.532e-08 -5.055e+12 <2e-16 ***
## totmet220 2.991e+05 5.141e-08 5.818e+12 <2e-16 ***
## totmet2220 -3.024e+05 6.320e-08 -4.784e+12 <2e-16 ***
## totmet2240 -1.924e+05 3.812e-08 -5.049e+12 <2e-16 ***
## totmet2320 2.942e+05 5.052e-08 5.824e+12 <2e-16 ***
## totmet240 -1.857e+05 3.573e-08 -5.197e+12 <2e-16 ***
## totmet2400 -2.752e+05 5.302e-08 -5.190e+12 <2e-16 ***
## totmet2480 -1.561e+05 3.345e-08 -4.668e+12 <2e-16 ***
## totmet2520 -1.083e+05 2.321e-08 -4.664e+12 <2e-16 ***
## totmet2560 -1.241e+05 2.244e-08 -5.530e+12 <2e-16 ***
## totmet260 -1.504e+06 2.767e-07 -5.434e+12 <2e-16 ***
## totmet2640 -5.093e+05 8.745e-08 -5.824e+12 <2e-16 ***
## totmet2680 -3.565e+05 6.503e-08 -5.481e+12 <2e-16 ***
## totmet2740 -2.444e+05 4.848e-08 -5.041e+12 <2e-16 ***
## totmet2760 NA NA NA NA
## totmet280 -3.543e+05 6.573e-08 -5.391e+12 <2e-16 ***
## totmet288 -2.644e+05 5.256e-08 -5.031e+12 <2e-16 ***
## totmet2880 -5.777e+05 1.032e-07 -5.596e+12 <2e-16 ***
## totmet2940 -3.149e+05 5.840e-08 -5.393e+12 <2e-16 ***
## totmet300 7.232e+04 1.058e-08 6.838e+12 <2e-16 ***
## totmet3000 -6.908e+05 1.311e-07 -5.271e+12 <2e-16 ***
## totmet3120 -4.744e+05 8.860e-08 -5.354e+12 <2e-16 ***
## totmet3180 -2.565e+05 5.079e-08 -5.050e+12 <2e-16 ***
## totmet320 6.879e+03 6.753e-09 1.019e+12 <2e-16 ***
## totmet3240 -1.315e+06 2.356e-07 -5.581e+12 <2e-16 ***
## totmet3520 -2.842e+05 5.347e-08 -5.315e+12 <2e-16 ***
## totmet360 -1.954e+05 3.540e-08 -5.520e+12 <2e-16 ***
## totmet3600 -4.974e+05 9.194e-08 -5.410e+12 <2e-16 ***
## totmet3840 -4.145e+05 7.423e-08 -5.584e+12 <2e-16 ***
## totmet40 -5.879e+05 1.068e-07 -5.507e+12 <2e-16 ***
## totmet400 -2.494e+05 4.693e-08 -5.316e+12 <2e-16 ***
## totmet4000 4.195e+03 9.860e-09 4.255e+11 <2e-16 ***
## totmet4080 -1.288e+04 9.753e-09 -1.321e+12 <2e-16 ***
## totmet420 -3.267e+05 6.583e-08 -4.963e+12 <2e-16 ***
## totmet4200 -2.311e+05 4.438e-08 -5.207e+12 <2e-16 ***
## totmet4320 -9.265e+05 1.665e-07 -5.564e+12 <2e-16 ***
## totmet440 -1.427e+05 2.882e-08 -4.952e+12 <2e-16 ***
## totmet4480 -4.417e+05 8.463e-08 -5.220e+12 <2e-16 ***
## totmet4560 -5.198e+05 9.828e-08 -5.289e+12 <2e-16 ***
## totmet480 -2.770e+05 5.418e-08 -5.112e+12 <2e-16 ***
## totmet4800 -1.105e+05 2.311e-08 -4.782e+12 <2e-16 ***
## totmet520 -2.790e+05 5.200e-08 -5.364e+12 <2e-16 ***
## totmet540 -1.118e+05 2.358e-08 -4.740e+12 <2e-16 ***
## totmet5520 -3.291e+05 6.102e-08 -5.393e+12 <2e-16 ***
## totmet560 -2.280e+05 4.463e-08 -5.108e+12 <2e-16 ***
## totmet5760 -3.364e+05 6.178e-08 -5.445e+12 <2e-16 ***
## totmet580 -3.561e+05 6.662e-08 -5.346e+12 <2e-16 ***
## totmet5840 2.958e+05 5.002e-08 5.914e+12 <2e-16 ***
## totmet60 -3.063e+05 5.801e-08 -5.281e+12 <2e-16 ***
## totmet600 -2.463e+05 4.656e-08 -5.291e+12 <2e-16 ***
## totmet608 -1.490e+06 2.717e-07 -5.486e+12 <2e-16 ***
## totmet6120 -1.959e+05 3.702e-08 -5.292e+12 <2e-16 ***
## totmet6360 -6.074e+05 1.108e-07 -5.480e+12 <2e-16 ***
## totmet640 -1.039e+06 1.898e-07 -5.475e+12 <2e-16 ***
## totmet720 -2.487e+05 4.640e-08 -5.361e+12 <2e-16 ***
## totmet740 -3.481e+05 6.019e-08 -5.784e+12 <2e-16 ***
## totmet7440 -2.772e+05 5.008e-08 -5.535e+12 <2e-16 ***
## totmet780 -2.223e+05 3.868e-08 -5.748e+12 <2e-16 ***
## totmet7800 -3.364e+05 6.173e-08 -5.449e+12 <2e-16 ***
## totmet80 -2.874e+05 5.358e-08 -5.363e+12 <2e-16 ***
## totmet800 -3.705e+05 6.580e-08 -5.631e+12 <2e-16 ***
## totmet836 -2.164e+05 4.169e-08 -5.191e+12 <2e-16 ***
## totmet840 -3.279e+05 6.165e-08 -5.318e+12 <2e-16 ***
## totmet880 -3.562e+05 6.520e-08 -5.463e+12 <2e-16 ***
## totmet900 1.137e+04 5.445e-09 2.088e+12 <2e-16 ***
## totmet960 -3.881e+05 7.255e-08 -5.349e+12 <2e-16 ***
## totmetNA -2.733e+05 5.164e-08 -5.292e+12 <2e-16 ***
## metcat1 NA NA NA NA
## metcat2 NA NA NA NA
## metcatNA NA NA NA NA
## DXXOFBMD0.49199999999999999 1.467e+05 2.511e-08 5.842e+12 <2e-16 ***
## DXXOFBMD0.53 4.819e+05 8.435e-08 5.713e+12 <2e-16 ***
## DXXOFBMD0.55100000000000005 1.611e+05 2.965e-08 5.432e+12 <2e-16 ***
## DXXOFBMD0.55900000000000005 -2.498e+05 5.674e-08 -4.403e+12 <2e-16 ***
## DXXOFBMD0.56299999999999994 2.448e+05 4.195e-08 5.836e+12 <2e-16 ***
## DXXOFBMD0.57799999999999996 8.459e+04 1.441e-08 5.871e+12 <2e-16 ***
## DXXOFBMD0.57999999999999996 1.572e+04 5.508e-09 2.853e+12 <2e-16 ***
## DXXOFBMD0.58799999999999997 1.077e+05 1.806e-08 5.964e+12 <2e-16 ***
## DXXOFBMD0.59199999999999997 NA NA NA NA
## DXXOFBMD0.59799999999999998 NA NA NA NA
## DXXOFBMD0.60199999999999998 5.450e+05 9.707e-08 5.615e+12 <2e-16 ***
## DXXOFBMD0.61399999999999999 -5.485e+05 1.051e-07 -5.221e+12 <2e-16 ***
## DXXOFBMD0.61499999999999999 1.779e+05 3.206e-08 5.549e+12 <2e-16 ***
## DXXOFBMD0.61599999999999999 -8.251e+03 6.046e-09 -1.365e+12 <2e-16 ***
## DXXOFBMD0.61699999999999999 1.169e+05 2.152e-08 5.432e+12 <2e-16 ***
## DXXOFBMD0.621 2.998e+03 5.334e-09 5.621e+11 <2e-16 ***
## DXXOFBMD0.624 5.893e+04 1.450e-08 4.063e+12 <2e-16 ***
## DXXOFBMD0.628 -1.311e+05 2.632e-08 -4.981e+12 <2e-16 ***
## DXXOFBMD0.629 2.038e+05 3.541e-08 5.756e+12 <2e-16 ***
## DXXOFBMD0.63 2.323e+05 4.236e-08 5.485e+12 <2e-16 ***
## DXXOFBMD0.63300000000000001 7.655e+04 1.281e-08 5.975e+12 <2e-16 ***
## DXXOFBMD0.63600000000000001 6.346e+04 1.373e-08 4.624e+12 <2e-16 ***
## DXXOFBMD0.63700000000000001 3.391e+05 5.754e-08 5.893e+12 <2e-16 ***
## DXXOFBMD0.64 5.222e+05 9.195e-08 5.679e+12 <2e-16 ***
## DXXOFBMD0.64400000000000002 2.798e+05 5.082e-08 5.506e+12 <2e-16 ***
## DXXOFBMD0.64700000000000002 7.213e+05 1.272e-07 5.669e+12 <2e-16 ***
## DXXOFBMD0.64900000000000002 2.445e+05 4.392e-08 5.567e+12 <2e-16 ***
## DXXOFBMD0.65 2.244e+05 3.905e-08 5.745e+12 <2e-16 ***
## DXXOFBMD0.65300000000000002 1.556e+05 2.912e-08 5.342e+12 <2e-16 ***
## DXXOFBMD0.65400000000000003 1.680e+05 2.961e-08 5.675e+12 <2e-16 ***
## DXXOFBMD0.65800000000000003 2.873e+05 5.176e-08 5.550e+12 <2e-16 ***
## DXXOFBMD0.66100000000000003 4.211e+05 7.479e-08 5.631e+12 <2e-16 ***
## DXXOFBMD0.66400000000000003 2.994e+05 5.414e-08 5.531e+12 <2e-16 ***
## DXXOFBMD0.66600000000000004 8.654e+04 1.588e-08 5.449e+12 <2e-16 ***
## DXXOFBMD0.66800000000000004 3.867e+05 7.014e-08 5.513e+12 <2e-16 ***
## DXXOFBMD0.67 1.835e+05 3.310e-08 5.543e+12 <2e-16 ***
## DXXOFBMD0.67500000000000004 1.522e+05 3.032e-08 5.021e+12 <2e-16 ***
## DXXOFBMD0.67800000000000005 -6.266e+03 5.662e-09 -1.107e+12 <2e-16 ***
## DXXOFBMD0.67900000000000005 4.281e+05 7.451e-08 5.746e+12 <2e-16 ***
## DXXOFBMD0.68 -1.785e+04 4.795e-09 -3.722e+12 <2e-16 ***
## DXXOFBMD0.68100000000000005 -3.134e+04 8.298e-09 -3.776e+12 <2e-16 ***
## DXXOFBMD0.68400000000000005 2.383e+05 4.405e-08 5.410e+12 <2e-16 ***
## DXXOFBMD0.68500000000000005 2.872e+05 5.016e-08 5.726e+12 <2e-16 ***
## DXXOFBMD0.68799999999999994 -9.049e+04 2.720e-08 -3.327e+12 <2e-16 ***
## DXXOFBMD0.68899999999999995 3.370e+05 6.055e-08 5.567e+12 <2e-16 ***
## DXXOFBMD0.69199999999999995 4.357e+05 7.778e-08 5.602e+12 <2e-16 ***
## DXXOFBMD0.69299999999999995 NA NA NA NA
## DXXOFBMD0.69499999999999995 4.036e+05 7.114e-08 5.674e+12 <2e-16 ***
## DXXOFBMD0.7 7.632e+04 1.296e-08 5.890e+12 <2e-16 ***
## DXXOFBMD0.70099999999999996 1.461e+05 2.740e-08 5.330e+12 <2e-16 ***
## DXXOFBMD0.70199999999999996 -2.070e+05 4.050e-08 -5.110e+12 <2e-16 ***
## DXXOFBMD0.70299999999999996 1.850e+05 3.392e-08 5.452e+12 <2e-16 ***
## DXXOFBMD0.70399999999999996 1.712e+05 3.074e-08 5.569e+12 <2e-16 ***
## DXXOFBMD0.70499999999999996 5.154e+05 9.402e-08 5.482e+12 <2e-16 ***
## DXXOFBMD0.70699999999999996 -3.272e+04 6.218e-09 -5.263e+12 <2e-16 ***
## DXXOFBMD0.70899999999999996 5.594e+05 1.009e-07 5.543e+12 <2e-16 ***
## DXXOFBMD0.71 1.394e+05 2.415e-08 5.772e+12 <2e-16 ***
## DXXOFBMD0.71199999999999997 2.126e+05 3.584e-08 5.931e+12 <2e-16 ***
## DXXOFBMD0.71299999999999997 3.888e+05 7.339e-08 5.298e+12 <2e-16 ***
## DXXOFBMD0.71399999999999997 1.611e+05 2.732e-08 5.898e+12 <2e-16 ***
## DXXOFBMD0.71599999999999997 2.448e+05 4.525e-08 5.410e+12 <2e-16 ***
## DXXOFBMD0.71699999999999997 4.048e+05 7.078e-08 5.719e+12 <2e-16 ***
## DXXOFBMD0.71799999999999997 9.763e+04 1.870e-08 5.221e+12 <2e-16 ***
## DXXOFBMD0.72 7.267e+04 1.340e-08 5.422e+12 <2e-16 ***
## DXXOFBMD0.72099999999999997 1.483e+05 2.680e-08 5.534e+12 <2e-16 ***
## DXXOFBMD0.72499999999999998 2.088e+05 3.866e-08 5.401e+12 <2e-16 ***
## DXXOFBMD0.72599999999999998 NA NA NA NA
## DXXOFBMD0.72699999999999998 -2.936e+05 5.253e-08 -5.588e+12 <2e-16 ***
## DXXOFBMD0.72799999999999998 6.131e+04 1.144e-08 5.362e+12 <2e-16 ***
## DXXOFBMD0.72899999999999998 1.510e+05 2.791e-08 5.411e+12 <2e-16 ***
## DXXOFBMD0.73 1.364e+05 2.463e-08 5.538e+12 <2e-16 ***
## DXXOFBMD0.73199999999999998 1.060e+06 1.932e-07 5.486e+12 <2e-16 ***
## DXXOFBMD0.73299999999999998 1.874e+05 3.958e-08 4.735e+12 <2e-16 ***
## DXXOFBMD0.73499999999999999 3.398e+04 7.538e-09 4.508e+12 <2e-16 ***
## DXXOFBMD0.73799999999999999 1.694e+05 3.001e-08 5.646e+12 <2e-16 ***
## DXXOFBMD0.74 7.393e+03 2.598e-09 2.845e+12 <2e-16 ***
## DXXOFBMD0.74099999999999999 6.127e+04 8.989e-09 6.816e+12 <2e-16 ***
## DXXOFBMD0.74299999999999999 1.817e+05 3.118e-08 5.827e+12 <2e-16 ***
## DXXOFBMD0.745 2.797e+05 5.012e-08 5.581e+12 <2e-16 ***
## DXXOFBMD0.749 3.918e+04 7.318e-09 5.355e+12 <2e-16 ***
## DXXOFBMD0.75 NA NA NA NA
## DXXOFBMD0.752 1.466e+05 2.602e-08 5.636e+12 <2e-16 ***
## DXXOFBMD0.753 -1.468e+05 3.641e-08 -4.032e+12 <2e-16 ***
## DXXOFBMD0.75600000000000001 -1.088e+05 1.881e-08 -5.785e+12 <2e-16 ***
## DXXOFBMD0.75800000000000001 -5.053e+04 1.222e-08 -4.134e+12 <2e-16 ***
## DXXOFBMD0.76 2.926e+05 5.425e-08 5.393e+12 <2e-16 ***
## DXXOFBMD0.76100000000000001 1.581e+05 2.731e-08 5.787e+12 <2e-16 ***
## DXXOFBMD0.76200000000000001 2.175e+05 4.023e-08 5.407e+12 <2e-16 ***
## DXXOFBMD0.76300000000000001 2.454e+05 4.714e-08 5.204e+12 <2e-16 ***
## DXXOFBMD0.76400000000000001 NA NA NA NA
## DXXOFBMD0.76500000000000001 6.198e+04 1.198e-08 5.172e+12 <2e-16 ***
## DXXOFBMD0.76700000000000002 2.006e+04 7.772e-09 2.581e+12 <2e-16 ***
## DXXOFBMD0.76800000000000002 1.030e+05 1.844e-08 5.585e+12 <2e-16 ***
## DXXOFBMD0.77 -8.828e+04 1.506e-08 -5.863e+12 <2e-16 ***
## DXXOFBMD0.77400000000000002 7.609e+05 1.415e-07 5.376e+12 <2e-16 ***
## DXXOFBMD0.77500000000000002 8.355e+05 1.544e-07 5.411e+12 <2e-16 ***
## DXXOFBMD0.77600000000000002 8.478e+03 1.170e-09 7.248e+12 <2e-16 ***
## DXXOFBMD0.77700000000000002 6.900e+02 7.314e-09 9.434e+10 <2e-16 ***
## DXXOFBMD0.77800000000000002 1.025e+05 1.943e-08 5.276e+12 <2e-16 ***
## DXXOFBMD0.78 5.011e+05 8.380e-08 5.980e+12 <2e-16 ***
## DXXOFBMD0.78100000000000003 1.403e+05 2.569e-08 5.462e+12 <2e-16 ***
## DXXOFBMD0.78200000000000003 2.358e+05 4.275e-08 5.515e+12 <2e-16 ***
## DXXOFBMD0.78300000000000003 NA NA NA NA
## DXXOFBMD0.78400000000000003 1.012e+05 1.786e-08 5.667e+12 <2e-16 ***
## DXXOFBMD0.78600000000000003 4.584e+04 1.313e-08 3.491e+12 <2e-16 ***
## DXXOFBMD0.78700000000000003 2.221e+05 4.086e-08 5.436e+12 <2e-16 ***
## DXXOFBMD0.78800000000000003 3.198e+05 5.760e-08 5.553e+12 <2e-16 ***
## DXXOFBMD0.78900000000000003 1.534e+05 2.752e-08 5.574e+12 <2e-16 ***
## DXXOFBMD0.79 -7.108e+04 1.307e-08 -5.441e+12 <2e-16 ***
## DXXOFBMD0.79100000000000004 -1.098e+05 1.637e-08 -6.707e+12 <2e-16 ***
## DXXOFBMD0.79200000000000004 9.578e+04 1.537e-08 6.231e+12 <2e-16 ***
## DXXOFBMD0.79300000000000004 1.004e+05 1.608e-08 6.241e+12 <2e-16 ***
## DXXOFBMD0.79700000000000004 4.311e+05 7.086e-08 6.084e+12 <2e-16 ***
## DXXOFBMD0.79800000000000004 1.335e+05 2.522e-08 5.294e+12 <2e-16 ***
## DXXOFBMD0.79900000000000004 2.714e+05 4.999e-08 5.429e+12 <2e-16 ***
## DXXOFBMD0.8 1.643e+05 2.921e-08 5.625e+12 <2e-16 ***
## DXXOFBMD0.80100000000000005 NA NA NA NA
## DXXOFBMD0.80200000000000005 1.766e+05 3.326e-08 5.312e+12 <2e-16 ***
## DXXOFBMD0.80300000000000005 1.533e+05 2.789e-08 5.496e+12 <2e-16 ***
## DXXOFBMD0.80400000000000005 -3.214e+05 5.930e-08 -5.420e+12 <2e-16 ***
## DXXOFBMD0.80500000000000005 -4.970e+04 1.802e-08 -2.759e+12 <2e-16 ***
## DXXOFBMD0.80600000000000005 7.293e+04 1.383e-08 5.273e+12 <2e-16 ***
## DXXOFBMD0.80700000000000005 1.404e+05 2.234e-08 6.283e+12 <2e-16 ***
## DXXOFBMD0.80800000000000005 -3.530e+04 8.969e-09 -3.936e+12 <2e-16 ***
## DXXOFBMD0.80900000000000005 -1.444e+04 1.717e-08 -8.409e+11 <2e-16 ***
## DXXOFBMD0.81 2.995e+05 5.530e-08 5.416e+12 <2e-16 ***
## DXXOFBMD0.81100000000000005 7.218e+04 1.363e-08 5.297e+12 <2e-16 ***
## DXXOFBMD0.81200000000000006 2.102e+05 3.823e-08 5.500e+12 <2e-16 ***
## DXXOFBMD0.81399999999999995 -3.729e+05 6.863e-08 -5.434e+12 <2e-16 ***
## DXXOFBMD0.81499999999999995 1.995e+05 3.586e-08 5.564e+12 <2e-16 ***
## DXXOFBMD0.81599999999999995 4.755e+05 8.505e-08 5.591e+12 <2e-16 ***
## DXXOFBMD0.81799999999999995 -1.500e+05 2.576e-08 -5.824e+12 <2e-16 ***
## DXXOFBMD0.81899999999999995 -7.182e+04 1.280e-08 -5.612e+12 <2e-16 ***
## DXXOFBMD0.82 2.766e+04 9.081e-09 3.046e+12 <2e-16 ***
## DXXOFBMD0.82099999999999995 1.618e+05 2.993e-08 5.404e+12 <2e-16 ***
## DXXOFBMD0.82199999999999995 2.697e+05 4.133e-08 6.527e+12 <2e-16 ***
## DXXOFBMD0.82299999999999995 -1.809e+05 3.186e-08 -5.679e+12 <2e-16 ***
## DXXOFBMD0.82399999999999995 1.424e+05 2.629e-08 5.417e+12 <2e-16 ***
## DXXOFBMD0.82699999999999996 1.271e+05 2.372e-08 5.356e+12 <2e-16 ***
## DXXOFBMD0.82799999999999996 -1.318e+05 2.536e-08 -5.195e+12 <2e-16 ***
## DXXOFBMD0.83 -7.554e+04 1.289e-08 -5.861e+12 <2e-16 ***
## DXXOFBMD0.83099999999999996 1.857e+04 4.539e-09 4.091e+12 <2e-16 ***
## DXXOFBMD0.83299999999999996 8.673e+04 9.899e-09 8.762e+12 <2e-16 ***
## DXXOFBMD0.83699999999999997 -1.462e+04 3.158e-09 -4.631e+12 <2e-16 ***
## DXXOFBMD0.83799999999999997 3.734e+04 6.066e-09 6.156e+12 <2e-16 ***
## DXXOFBMD0.83899999999999997 1.059e+06 1.915e-07 5.530e+12 <2e-16 ***
## DXXOFBMD0.84 4.084e+05 7.016e-08 5.821e+12 <2e-16 ***
## DXXOFBMD0.84099999999999997 -6.848e+04 1.200e-08 -5.706e+12 <2e-16 ***
## DXXOFBMD0.84299999999999997 -3.992e+05 7.329e-08 -5.448e+12 <2e-16 ***
## DXXOFBMD0.84399999999999997 1.105e+05 2.011e-08 5.495e+12 <2e-16 ***
## DXXOFBMD0.84499999999999997 3.125e+05 5.489e-08 5.692e+12 <2e-16 ***
## DXXOFBMD0.84599999999999997 -8.498e+04 1.659e-08 -5.123e+12 <2e-16 ***
## DXXOFBMD0.84799999999999998 1.802e+05 3.337e-08 5.399e+12 <2e-16 ***
## DXXOFBMD0.84899999999999998 1.502e+05 2.810e-08 5.347e+12 <2e-16 ***
## DXXOFBMD0.85 -2.488e+05 4.234e-08 -5.876e+12 <2e-16 ***
## DXXOFBMD0.85099999999999998 1.247e+05 2.279e-08 5.472e+12 <2e-16 ***
## DXXOFBMD0.85199999999999998 4.568e+05 8.253e-08 5.534e+12 <2e-16 ***
## DXXOFBMD0.85299999999999998 -4.025e+04 1.559e-08 -2.581e+12 <2e-16 ***
## DXXOFBMD0.85399999999999998 -1.371e+05 2.199e-08 -6.238e+12 <2e-16 ***
## DXXOFBMD0.85499999999999998 4.590e+04 9.040e-09 5.077e+12 <2e-16 ***
## DXXOFBMD0.85599999999999998 4.317e+05 7.682e-08 5.619e+12 <2e-16 ***
## DXXOFBMD0.85699999999999998 -1.376e+04 2.565e-09 -5.365e+12 <2e-16 ***
## DXXOFBMD0.85799999999999998 1.580e+05 2.897e-08 5.454e+12 <2e-16 ***
## DXXOFBMD0.85899999999999999 1.736e+05 3.043e-08 5.704e+12 <2e-16 ***
## DXXOFBMD0.86099999999999999 -1.387e+04 1.191e-08 -1.164e+12 <2e-16 ***
## DXXOFBMD0.86199999999999999 -2.740e+05 4.785e-08 -5.725e+12 <2e-16 ***
## DXXOFBMD0.86299999999999999 7.734e+04 1.396e-08 5.539e+12 <2e-16 ***
## DXXOFBMD0.86399999999999999 1.478e+05 2.543e-08 5.814e+12 <2e-16 ***
## DXXOFBMD0.86499999999999999 1.158e+06 2.093e-07 5.532e+12 <2e-16 ***
## DXXOFBMD0.86599999999999999 1.144e+05 1.996e-08 5.733e+12 <2e-16 ***
## DXXOFBMD0.86699999999999999 -1.993e+05 3.757e-08 -5.304e+12 <2e-16 ***
## DXXOFBMD0.86799999999999999 3.867e+04 9.358e-09 4.132e+12 <2e-16 ***
## DXXOFBMD0.86899999999999999 -7.540e+04 1.152e-08 -6.546e+12 <2e-16 ***
## DXXOFBMD0.871 1.871e+04 4.842e-09 3.864e+12 <2e-16 ***
## DXXOFBMD0.872 3.091e+05 5.587e-08 5.532e+12 <2e-16 ***
## DXXOFBMD0.873 7.754e+03 1.303e-09 5.951e+12 <2e-16 ***
## DXXOFBMD0.874 1.334e+05 2.676e-08 4.985e+12 <2e-16 ***
## DXXOFBMD0.875 1.216e+05 2.224e-08 5.466e+12 <2e-16 ***
## DXXOFBMD0.876 1.619e+05 3.038e-08 5.329e+12 <2e-16 ***
## DXXOFBMD0.877 2.892e+03 1.436e-09 2.014e+12 <2e-16 ***
## DXXOFBMD0.878 3.659e+05 6.745e-08 5.425e+12 <2e-16 ***
## DXXOFBMD0.88 5.690e+04 1.158e-08 4.913e+12 <2e-16 ***
## DXXOFBMD0.88100000000000001 1.606e+05 2.649e-08 6.065e+12 <2e-16 ***
## DXXOFBMD0.88200000000000001 -7.170e+04 1.317e-08 -5.444e+12 <2e-16 ***
## DXXOFBMD0.88300000000000001 6.399e+05 1.161e-07 5.511e+12 <2e-16 ***
## DXXOFBMD0.88400000000000001 7.170e+04 1.335e-08 5.372e+12 <2e-16 ***
## DXXOFBMD0.88500000000000001 NA NA NA NA
## DXXOFBMD0.88600000000000001 3.964e+05 7.139e-08 5.552e+12 <2e-16 ***
## DXXOFBMD0.88700000000000001 6.201e+04 1.316e-08 4.711e+12 <2e-16 ***
## DXXOFBMD0.88800000000000001 -3.316e+03 8.544e-09 -3.881e+11 <2e-16 ***
## DXXOFBMD0.88900000000000001 1.662e+05 3.013e-08 5.518e+12 <2e-16 ***
## DXXOFBMD0.89 3.869e+05 6.791e-08 5.698e+12 <2e-16 ***
## DXXOFBMD0.89100000000000001 4.614e+05 8.336e-08 5.535e+12 <2e-16 ***
## DXXOFBMD0.89200000000000002 1.357e+05 2.677e-08 5.067e+12 <2e-16 ***
## DXXOFBMD0.89400000000000002 -1.169e+05 2.896e-08 -4.035e+12 <2e-16 ***
## DXXOFBMD0.89500000000000002 1.100e+05 2.381e-08 4.621e+12 <2e-16 ***
## DXXOFBMD0.89600000000000002 8.147e+04 1.657e-08 4.916e+12 <2e-16 ***
## DXXOFBMD0.89700000000000002 -1.977e+04 4.037e-09 -4.896e+12 <2e-16 ***
## DXXOFBMD0.89800000000000002 1.977e+05 3.674e-08 5.381e+12 <2e-16 ***
## DXXOFBMD0.89900000000000002 1.733e+03 2.582e-09 6.711e+11 <2e-16 ***
## DXXOFBMD0.9 2.766e+05 5.198e-08 5.322e+12 <2e-16 ***
## DXXOFBMD0.90100000000000002 1.954e+05 3.613e-08 5.409e+12 <2e-16 ***
## DXXOFBMD0.90200000000000002 4.931e+04 9.777e-09 5.043e+12 <2e-16 ***
## DXXOFBMD0.90400000000000003 8.874e+04 1.740e-08 5.101e+12 <2e-16 ***
## DXXOFBMD0.90700000000000003 2.099e+05 4.021e-08 5.218e+12 <2e-16 ***
## DXXOFBMD0.90800000000000003 5.864e+04 1.032e-08 5.681e+12 <2e-16 ***
## DXXOFBMD0.90900000000000003 6.746e+04 1.222e-08 5.518e+12 <2e-16 ***
## DXXOFBMD0.91 2.158e+05 3.994e-08 5.403e+12 <2e-16 ***
## DXXOFBMD0.91100000000000003 -1.142e+05 2.163e-08 -5.278e+12 <2e-16 ***
## DXXOFBMD0.91400000000000003 -3.542e+05 6.110e-08 -5.797e+12 <2e-16 ***
## DXXOFBMD0.91500000000000004 -5.643e+04 1.091e-08 -5.171e+12 <2e-16 ***
## DXXOFBMD0.91700000000000004 7.665e+04 1.654e-08 4.635e+12 <2e-16 ***
## DXXOFBMD0.91800000000000004 2.105e+05 3.754e-08 5.607e+12 <2e-16 ***
## DXXOFBMD0.91900000000000004 7.943e+03 2.093e-09 3.795e+12 <2e-16 ***
## DXXOFBMD0.92 -7.110e+02 1.005e-09 -7.077e+11 <2e-16 ***
## DXXOFBMD0.92100000000000004 1.744e+05 3.806e-08 4.583e+12 <2e-16 ***
## DXXOFBMD0.92200000000000004 -9.879e+04 1.783e-08 -5.539e+12 <2e-16 ***
## DXXOFBMD0.92300000000000004 -2.134e+05 3.782e-08 -5.642e+12 <2e-16 ***
## DXXOFBMD0.92400000000000004 1.903e+05 3.765e-08 5.055e+12 <2e-16 ***
## DXXOFBMD0.92500000000000004 NA NA NA NA
## DXXOFBMD0.92600000000000005 -1.912e+05 3.522e-08 -5.430e+12 <2e-16 ***
## DXXOFBMD0.92900000000000005 3.425e+05 6.245e-08 5.485e+12 <2e-16 ***
## DXXOFBMD0.93 -1.247e+05 2.800e-08 -4.455e+12 <2e-16 ***
## DXXOFBMD0.93100000000000005 2.685e+04 5.498e-09 4.883e+12 <2e-16 ***
## DXXOFBMD0.93200000000000005 7.617e+04 1.401e-08 5.435e+12 <2e-16 ***
## DXXOFBMD0.93300000000000005 -3.531e+03 1.793e-09 -1.969e+12 <2e-16 ***
## DXXOFBMD0.93400000000000005 3.154e+05 5.530e-08 5.704e+12 <2e-16 ***
## DXXOFBMD0.93500000000000005 -8.836e+04 1.686e-08 -5.241e+12 <2e-16 ***
## DXXOFBMD0.93600000000000005 4.668e+04 9.698e-09 4.814e+12 <2e-16 ***
## DXXOFBMD0.93700000000000006 -5.400e+03 1.351e-09 -3.996e+12 <2e-16 ***
## DXXOFBMD0.93799999999999994 1.212e+05 2.302e-08 5.264e+12 <2e-16 ***
## DXXOFBMD0.93899999999999995 -2.893e+05 5.406e-08 -5.350e+12 <2e-16 ***
## DXXOFBMD0.94 -3.061e+05 5.348e-08 -5.724e+12 <2e-16 ***
## DXXOFBMD0.94099999999999995 -2.298e+04 6.476e-09 -3.548e+12 <2e-16 ***
## DXXOFBMD0.94199999999999995 1.166e+03 2.444e-09 4.770e+11 <2e-16 ***
## DXXOFBMD0.94399999999999995 -2.663e+05 5.015e-08 -5.310e+12 <2e-16 ***
## DXXOFBMD0.94499999999999995 -2.459e+05 4.475e-08 -5.495e+12 <2e-16 ***
## DXXOFBMD0.94699999999999995 1.966e+05 3.563e-08 5.518e+12 <2e-16 ***
## DXXOFBMD0.95099999999999996 -3.348e+05 6.671e-08 -5.019e+12 <2e-16 ***
## DXXOFBMD0.95299999999999996 1.171e+05 2.188e-08 5.352e+12 <2e-16 ***
## DXXOFBMD0.95599999999999996 2.673e+05 4.618e-08 5.789e+12 <2e-16 ***
## DXXOFBMD0.95699999999999996 5.779e+04 1.182e-08 4.888e+12 <2e-16 ***
## DXXOFBMD0.95799999999999996 8.870e+04 1.533e-08 5.787e+12 <2e-16 ***
## DXXOFBMD0.95899999999999996 -4.255e+04 1.803e-08 -2.360e+12 <2e-16 ***
## DXXOFBMD0.96 -2.825e+05 5.309e-08 -5.321e+12 <2e-16 ***
## DXXOFBMD0.96099999999999997 3.576e+05 6.517e-08 5.487e+12 <2e-16 ***
## DXXOFBMD0.96199999999999997 1.085e+05 2.316e-08 4.687e+12 <2e-16 ***
## DXXOFBMD0.96299999999999997 2.115e+05 3.746e-08 5.645e+12 <2e-16 ***
## DXXOFBMD0.96399999999999997 1.979e+05 3.453e-08 5.730e+12 <2e-16 ***
## DXXOFBMD0.96499999999999997 -1.344e+05 2.546e-08 -5.279e+12 <2e-16 ***
## DXXOFBMD0.96599999999999997 1.866e+05 3.542e-08 5.269e+12 <2e-16 ***
## DXXOFBMD0.96699999999999997 -2.029e+05 3.927e-08 -5.167e+12 <2e-16 ***
## DXXOFBMD0.96799999999999997 -7.030e+04 1.156e-08 -6.082e+12 <2e-16 ***
## DXXOFBMD0.96899999999999997 -4.611e+04 8.780e-09 -5.252e+12 <2e-16 ***
## DXXOFBMD0.97 4.263e+05 7.697e-08 5.539e+12 <2e-16 ***
## DXXOFBMD0.97099999999999997 6.705e+04 1.261e-08 5.316e+12 <2e-16 ***
## DXXOFBMD0.97199999999999998 -5.726e+04 1.162e-08 -4.926e+12 <2e-16 ***
## DXXOFBMD0.97299999999999998 -1.782e+05 3.151e-08 -5.656e+12 <2e-16 ***
## DXXOFBMD0.97399999999999998 -3.530e+04 6.426e-09 -5.492e+12 <2e-16 ***
## DXXOFBMD0.97499999999999998 1.783e+05 3.117e-08 5.719e+12 <2e-16 ***
## DXXOFBMD0.97599999999999998 -4.959e+04 1.053e-08 -4.708e+12 <2e-16 ***
## DXXOFBMD0.97699999999999998 6.935e+04 1.557e-08 4.454e+12 <2e-16 ***
## DXXOFBMD0.98 -3.362e+04 1.328e-08 -2.532e+12 <2e-16 ***
## DXXOFBMD0.98099999999999998 1.040e+05 2.009e-08 5.178e+12 <2e-16 ***
## DXXOFBMD0.98199999999999998 2.371e+05 4.105e-08 5.775e+12 <2e-16 ***
## DXXOFBMD0.98399999999999999 1.591e+05 3.518e-08 4.521e+12 <2e-16 ***
## DXXOFBMD0.98499999999999999 -2.413e+05 4.432e-08 -5.446e+12 <2e-16 ***
## DXXOFBMD0.98799999999999999 -2.670e+04 4.900e-09 -5.449e+12 <2e-16 ***
## DXXOFBMD0.98899999999999999 1.155e+04 4.737e-09 2.437e+12 <2e-16 ***
## DXXOFBMD0.99 8.317e+05 1.511e-07 5.504e+12 <2e-16 ***
## DXXOFBMD0.99099999999999999 NA NA NA NA
## DXXOFBMD0.99299999999999999 -1.098e+05 1.987e-08 -5.525e+12 <2e-16 ***
## DXXOFBMD0.99399999999999999 NA NA NA NA
## DXXOFBMD0.996 -6.628e+04 1.336e-08 -4.963e+12 <2e-16 ***
## DXXOFBMD0.997 1.146e+05 2.042e-08 5.612e+12 <2e-16 ***
## DXXOFBMD0.998 2.908e+04 4.810e-09 6.047e+12 <2e-16 ***
## DXXOFBMD0.999 3.911e+04 6.898e-09 5.670e+12 <2e-16 ***
## DXXOFBMD1 NA NA NA NA
## DXXOFBMD1.0009999999999999 -4.521e+04 1.130e-08 -4.002e+12 <2e-16 ***
## DXXOFBMD1.0029999999999999 -3.578e+05 7.061e-08 -5.068e+12 <2e-16 ***
## DXXOFBMD1.004 -1.219e+05 2.308e-08 -5.282e+12 <2e-16 ***
## DXXOFBMD1.0049999999999999 1.360e+05 2.492e-08 5.458e+12 <2e-16 ***
## DXXOFBMD1.006 5.319e+04 9.870e-09 5.388e+12 <2e-16 ***
## DXXOFBMD1.008 -9.977e+04 1.869e-08 -5.339e+12 <2e-16 ***
## DXXOFBMD1.0089999999999999 -1.800e+05 3.516e-08 -5.120e+12 <2e-16 ***
## DXXOFBMD1.01 3.770e+05 6.713e-08 5.615e+12 <2e-16 ***
## DXXOFBMD1.0109999999999999 1.136e+04 5.433e-09 2.090e+12 <2e-16 ***
## DXXOFBMD1.0129999999999999 -3.052e+05 5.350e-08 -5.705e+12 <2e-16 ***
## DXXOFBMD1.014 -2.807e+04 5.066e-09 -5.542e+12 <2e-16 ***
## DXXOFBMD1.0149999999999999 1.219e+05 2.534e-08 4.811e+12 <2e-16 ***
## DXXOFBMD1.016 1.689e+05 2.968e-08 5.691e+12 <2e-16 ***
## DXXOFBMD1.0169999999999999 NA NA NA NA
## DXXOFBMD1.018 1.748e+04 4.500e-09 3.885e+12 <2e-16 ***
## DXXOFBMD1.0189999999999999 1.193e+05 2.102e-08 5.677e+12 <2e-16 ***
## DXXOFBMD1.02 1.589e+05 2.752e-08 5.776e+12 <2e-16 ***
## DXXOFBMD1.0229999999999999 NA NA NA NA
## DXXOFBMD1.024 -2.196e+05 3.586e-08 -6.125e+12 <2e-16 ***
## DXXOFBMD1.026 2.299e+05 3.629e-08 6.335e+12 <2e-16 ***
## DXXOFBMD1.0269999999999999 5.202e+04 1.187e-08 4.384e+12 <2e-16 ***
## DXXOFBMD1.028 -7.115e+04 2.290e-08 -3.106e+12 <2e-16 ***
## DXXOFBMD1.0289999999999999 NA NA NA NA
## DXXOFBMD1.03 1.473e+05 2.566e-08 5.742e+12 <2e-16 ***
## DXXOFBMD1.0329999999999999 -1.131e+05 2.035e-08 -5.557e+12 <2e-16 ***
## DXXOFBMD1.034 NA NA NA NA
## DXXOFBMD1.0369999999999999 1.621e+05 3.094e-08 5.241e+12 <2e-16 ***
## DXXOFBMD1.038 -3.357e+04 6.198e-09 -5.417e+12 <2e-16 ***
## DXXOFBMD1.04 -7.270e+02 3.727e-09 -1.951e+11 <2e-16 ***
## DXXOFBMD1.0409999999999999 5.097e+05 9.109e-08 5.595e+12 <2e-16 ***
## DXXOFBMD1.0429999999999999 -3.496e+05 6.325e-08 -5.527e+12 <2e-16 ***
## DXXOFBMD1.0449999999999999 1.223e+05 2.454e-08 4.985e+12 <2e-16 ***
## DXXOFBMD1.046 2.148e+05 4.136e-08 5.192e+12 <2e-16 ***
## DXXOFBMD1.0469999999999999 -2.382e+05 4.388e-08 -5.428e+12 <2e-16 ***
## DXXOFBMD1.048 1.016e+06 1.894e-07 5.363e+12 <2e-16 ***
## DXXOFBMD1.0489999999999999 -3.809e+05 6.779e-08 -5.620e+12 <2e-16 ***
## DXXOFBMD1.05 1.318e+06 2.382e-07 5.535e+12 <2e-16 ***
## DXXOFBMD1.0509999999999999 -2.022e+05 3.581e-08 -5.648e+12 <2e-16 ***
## DXXOFBMD1.052 3.420e+04 7.457e-09 4.587e+12 <2e-16 ***
## DXXOFBMD1.0529999999999999 -3.737e+05 6.853e-08 -5.453e+12 <2e-16 ***
## DXXOFBMD1.0549999999999999 2.646e+03 3.033e-09 8.725e+11 <2e-16 ***
## DXXOFBMD1.0569999999999999 -1.498e+05 2.912e-08 -5.143e+12 <2e-16 ***
## DXXOFBMD1.0589999999999999 -1.027e+05 1.710e-08 -6.006e+12 <2e-16 ***
## DXXOFBMD1.06 -6.073e+04 1.201e-08 -5.059e+12 <2e-16 ***
## DXXOFBMD1.0620000000000001 1.295e+04 3.289e-09 3.936e+12 <2e-16 ***
## DXXOFBMD1.0649999999999999 -1.436e+05 2.287e-08 -6.279e+12 <2e-16 ***
## DXXOFBMD1.07 4.043e+04 7.772e-09 5.202e+12 <2e-16 ***
## DXXOFBMD1.071 3.486e+05 6.042e-08 5.770e+12 <2e-16 ***
## DXXOFBMD1.0720000000000001 1.357e+06 2.456e-07 5.525e+12 <2e-16 ***
## DXXOFBMD1.073 2.237e+05 4.119e-08 5.431e+12 <2e-16 ***
## DXXOFBMD1.0740000000000001 -1.017e+05 2.347e-08 -4.334e+12 <2e-16 ***
## DXXOFBMD1.0760000000000001 2.477e+04 4.317e-09 5.737e+12 <2e-16 ***
## DXXOFBMD1.077 -7.043e+03 9.425e-10 -7.473e+12 <2e-16 ***
## DXXOFBMD1.0780000000000001 -1.806e+05 3.340e-08 -5.406e+12 <2e-16 ***
## DXXOFBMD1.08 1.402e+05 2.439e-08 5.747e+12 <2e-16 ***
## DXXOFBMD1.081 6.470e+03 8.560e-09 7.558e+11 <2e-16 ***
## DXXOFBMD1.0820000000000001 -1.910e+05 3.393e-08 -5.629e+12 <2e-16 ***
## DXXOFBMD1.083 -3.489e+05 7.114e-08 -4.904e+12 <2e-16 ***
## DXXOFBMD1.0840000000000001 -4.017e+05 7.256e-08 -5.537e+12 <2e-16 ***
## DXXOFBMD1.0880000000000001 -1.372e+05 2.529e-08 -5.424e+12 <2e-16 ***
## DXXOFBMD1.089 7.744e+03 1.066e-08 7.266e+11 <2e-16 ***
## DXXOFBMD1.0900000000000001 NA NA NA NA
## DXXOFBMD1.091 6.312e+04 1.543e-08 4.090e+12 <2e-16 ***
## DXXOFBMD1.0920000000000001 2.621e+05 4.455e-08 5.883e+12 <2e-16 ***
## DXXOFBMD1.0960000000000001 NA NA NA NA
## DXXOFBMD1.1000000000000001 -8.109e+04 1.508e-08 -5.378e+12 <2e-16 ***
## DXXOFBMD1.1020000000000001 3.435e+05 6.087e-08 5.643e+12 <2e-16 ***
## DXXOFBMD1.103 1.633e+05 3.343e-08 4.885e+12 <2e-16 ***
## DXXOFBMD1.1040000000000001 5.004e+03 1.516e-08 3.301e+11 <2e-16 ***
## DXXOFBMD1.105 NA NA NA NA
## DXXOFBMD1.107 1.704e+05 2.993e-08 5.692e+12 <2e-16 ***
## DXXOFBMD1.1080000000000001 4.635e+04 9.256e-09 5.007e+12 <2e-16 ***
## DXXOFBMD1.111 3.873e+05 6.594e-08 5.873e+12 <2e-16 ***
## DXXOFBMD1.1120000000000001 5.944e+05 1.073e-07 5.541e+12 <2e-16 ***
## DXXOFBMD1.113 NA NA NA NA
## DXXOFBMD1.115 -5.202e+04 1.021e-08 -5.095e+12 <2e-16 ***
## DXXOFBMD1.1160000000000001 -3.631e+04 6.649e-09 -5.460e+12 <2e-16 ***
## DXXOFBMD1.117 -1.621e+05 2.818e-08 -5.751e+12 <2e-16 ***
## DXXOFBMD1.1200000000000001 NA NA NA NA
## DXXOFBMD1.121 -5.835e+04 1.060e-08 -5.504e+12 <2e-16 ***
## DXXOFBMD1.1220000000000001 -3.549e+05 6.427e-08 -5.522e+12 <2e-16 ***
## DXXOFBMD1.127 -2.171e+04 4.188e-09 -5.183e+12 <2e-16 ***
## DXXOFBMD1.1279999999999999 9.842e+04 1.966e-08 5.006e+12 <2e-16 ***
## DXXOFBMD1.1299999999999999 2.290e+05 4.165e-08 5.498e+12 <2e-16 ***
## DXXOFBMD1.1319999999999999 2.266e+05 3.699e-08 6.126e+12 <2e-16 ***
## DXXOFBMD1.133 -2.595e+04 6.350e-09 -4.087e+12 <2e-16 ***
## DXXOFBMD1.1339999999999999 -6.291e+04 9.802e-09 -6.418e+12 <2e-16 ***
## DXXOFBMD1.1359999999999999 2.293e+05 4.195e-08 5.465e+12 <2e-16 ***
## DXXOFBMD1.137 -1.811e+05 3.271e-08 -5.537e+12 <2e-16 ***
## DXXOFBMD1.1379999999999999 5.301e+05 9.518e-08 5.570e+12 <2e-16 ***
## DXXOFBMD1.1399999999999999 1.272e+03 5.650e-09 2.251e+11 <2e-16 ***
## DXXOFBMD1.1419999999999999 -1.098e+05 2.505e-08 -4.384e+12 <2e-16 ***
## DXXOFBMD1.1439999999999999 2.105e+05 3.393e-08 6.203e+12 <2e-16 ***
## DXXOFBMD1.145 -5.736e+04 9.382e-09 -6.113e+12 <2e-16 ***
## DXXOFBMD1.1459999999999999 4.132e+04 6.775e-09 6.099e+12 <2e-16 ***
## DXXOFBMD1.149 -7.325e+03 2.794e-09 -2.622e+12 <2e-16 ***
## DXXOFBMD1.1499999999999999 -2.837e+05 5.112e-08 -5.549e+12 <2e-16 ***
## DXXOFBMD1.151 1.271e+06 2.290e-07 5.549e+12 <2e-16 ***
## DXXOFBMD1.1519999999999999 1.069e+06 1.958e-07 5.457e+12 <2e-16 ***
## DXXOFBMD1.1539999999999999 -6.807e+04 1.113e-08 -6.118e+12 <2e-16 ***
## DXXOFBMD1.157 2.142e+05 4.048e-08 5.291e+12 <2e-16 ***
## DXXOFBMD1.159 NA NA NA NA
## DXXOFBMD1.167 -7.066e+04 1.123e-08 -6.290e+12 <2e-16 ***
## DXXOFBMD1.169 5.478e+04 1.405e-08 3.899e+12 <2e-16 ***
## DXXOFBMD1.171 3.866e+05 6.872e-08 5.627e+12 <2e-16 ***
## DXXOFBMD1.1719999999999999 6.494e+05 1.165e-07 5.577e+12 <2e-16 ***
## DXXOFBMD1.1739999999999999 -4.238e+05 7.668e-08 -5.527e+12 <2e-16 ***
## DXXOFBMD1.177 NA NA NA NA
## DXXOFBMD1.179 -2.068e+05 3.985e-08 -5.189e+12 <2e-16 ***
## DXXOFBMD1.1819999999999999 2.841e+05 5.001e-08 5.680e+12 <2e-16 ***
## DXXOFBMD1.1850000000000001 -9.740e+04 1.873e-08 -5.199e+12 <2e-16 ***
## DXXOFBMD1.1870000000000001 2.418e+05 4.308e-08 5.614e+12 <2e-16 ***
## DXXOFBMD1.19 -9.619e+04 1.694e-08 -5.679e+12 <2e-16 ***
## DXXOFBMD1.194 4.677e+05 8.364e-08 5.592e+12 <2e-16 ***
## DXXOFBMD1.1950000000000001 1.644e+05 2.906e-08 5.655e+12 <2e-16 ***
## DXXOFBMD1.2 -3.196e+04 5.523e-09 -5.786e+12 <2e-16 ***
## DXXOFBMD1.21 NA NA NA NA
## DXXOFBMD1.214 NA NA NA NA
## DXXOFBMD1.216 3.202e+05 5.662e-08 5.656e+12 <2e-16 ***
## DXXOFBMD1.2210000000000001 3.641e+05 6.490e-08 5.611e+12 <2e-16 ***
## DXXOFBMD1.224 -3.004e+05 5.467e-08 -5.495e+12 <2e-16 ***
## DXXOFBMD1.2250000000000001 -4.056e+05 7.457e-08 -5.439e+12 <2e-16 ***
## DXXOFBMD1.228 1.288e+05 2.682e-08 4.803e+12 <2e-16 ***
## DXXOFBMD1.238 NA NA NA NA
## DXXOFBMD1.24 -2.852e+04 4.854e-09 -5.877e+12 <2e-16 ***
## DXXOFBMD1.2410000000000001 -9.499e+04 2.250e-08 -4.221e+12 <2e-16 ***
## DXXOFBMD1.246 -3.322e+04 5.626e-09 -5.904e+12 <2e-16 ***
## DXXOFBMD1.248 -1.079e+05 1.880e-08 -5.738e+12 <2e-16 ***
## DXXOFBMD1.25 -4.528e+05 8.115e-08 -5.580e+12 <2e-16 ***
## DXXOFBMD1.254 7.184e+04 1.590e-08 4.520e+12 <2e-16 ***
## DXXOFBMD1.284 -1.240e+04 4.455e-09 -2.783e+12 <2e-16 ***
## DXXOFBMD1.2849999999999999 -5.562e+04 1.008e-08 -5.518e+12 <2e-16 ***
## DXXOFBMD1.2949999999999999 -9.182e+04 1.487e-08 -6.173e+12 <2e-16 ***
## DXXOFBMD1.296 1.454e+05 2.661e-08 5.463e+12 <2e-16 ***
## DXXOFBMD1.306 8.871e+03 2.029e-09 4.371e+12 <2e-16 ***
## DXXOFBMD1.3120000000000001 9.331e+05 1.751e-07 5.330e+12 <2e-16 ***
## DXXOFBMD1.34 1.760e+05 3.750e-08 4.694e+12 <2e-16 ***
## DXXOFBMD1.3660000000000001 NA NA NA NA
## DXXOFBMD1.373 1.846e+05 3.363e-08 5.491e+12 <2e-16 ***
## DXXOFBMD1.456 -1.053e+05 1.840e-08 -5.720e+12 <2e-16 ***
## DXXOFBMDNA NA NA NA NA
## tbmdcat1 -1.683e+05 3.012e-08 -5.587e+12 <2e-16 ***
## tbmdcat2 -1.350e+05 2.356e-08 -5.729e+12 <2e-16 ***
## tbmdcatNA NA NA NA NA
## calcium1001 NA NA NA NA
## calcium1006.5 -3.645e+04 1.094e-08 -3.333e+12 <2e-16 ***
## calcium1012.5 NA NA NA NA
## calcium1013 NA NA NA NA
## calcium1017.5 NA NA NA NA
## calcium1019.5 -2.338e+04 3.501e-09 -6.678e+12 <2e-16 ***
## calcium1020.5 1.031e+05 1.814e-08 5.683e+12 <2e-16 ***
## calcium1021 NA NA NA NA
## calcium1022.5 -5.297e+04 1.476e-08 -3.589e+12 <2e-16 ***
## calcium1025 NA NA NA NA
## calcium1028 NA NA NA NA
## calcium1035 NA NA NA NA
## calcium1038.5 -3.274e+05 5.982e-08 -5.473e+12 <2e-16 ***
## calcium1039 NA NA NA NA
## calcium1043 1.399e+05 2.270e-08 6.164e+12 <2e-16 ***
## calcium1046 -1.114e+05 2.229e-08 -4.996e+12 <2e-16 ***
## calcium1050 3.413e+05 5.713e-08 5.973e+12 <2e-16 ***
## calcium1050.5 3.755e+05 7.429e-08 5.055e+12 <2e-16 ***
## calcium1051.5 NA NA NA NA
## calcium1052 1.412e+06 2.548e-07 5.541e+12 <2e-16 ***
## calcium1052.5 NA NA NA NA
## calcium1060 3.102e+05 5.432e-08 5.710e+12 <2e-16 ***
## calcium1064 NA NA NA NA
## calcium1065 NA NA NA NA
## calcium1068 3.798e+05 7.097e-08 5.351e+12 <2e-16 ***
## calcium107.5 NA NA NA NA
## calcium1070 -5.208e+04 8.750e-09 -5.951e+12 <2e-16 ***
## calcium1071 NA NA NA NA
## calcium1072.5 8.209e+03 1.717e-09 4.782e+12 <2e-16 ***
## calcium1073 NA NA NA NA
## calcium1075.5 NA NA NA NA
## calcium1077 1.625e+05 3.241e-08 5.016e+12 <2e-16 ***
## calcium1079.5 NA NA NA NA
## calcium1081.5 9.258e+03 1.017e-08 9.107e+11 <2e-16 ***
## calcium1082 7.834e+05 1.454e-07 5.388e+12 <2e-16 ***
## calcium1083 2.360e+05 4.813e-08 4.903e+12 <2e-16 ***
## calcium1089 NA NA NA NA
## calcium1090.5 NA NA NA NA
## calcium1092 NA NA NA NA
## calcium1095 NA NA NA NA
## calcium1098.5 1.955e+05 3.952e-08 4.946e+12 <2e-16 ***
## calcium1099 2.102e+05 4.265e-08 4.927e+12 <2e-16 ***
## calcium1099.5 1.257e+05 2.522e-08 4.983e+12 <2e-16 ***
## calcium1101.5 NA NA NA NA
## calcium1108 1.880e+05 3.399e-08 5.531e+12 <2e-16 ***
## calcium1117 -8.139e+05 1.530e-07 -5.318e+12 <2e-16 ***
## calcium1119 3.111e+05 5.715e-08 5.443e+12 <2e-16 ***
## calcium1122.5 NA NA NA NA
## calcium1123.5 NA NA NA NA
## calcium1127.5 NA NA NA NA
## calcium1129.5 -3.815e+05 7.476e-08 -5.103e+12 <2e-16 ***
## calcium1134.5 -1.190e+04 1.301e-08 -9.146e+11 <2e-16 ***
## calcium1137 4.516e+04 1.106e-08 4.084e+12 <2e-16 ***
## calcium1138 -2.982e+05 5.716e-08 -5.217e+12 <2e-16 ***
## calcium1138.5 4.560e+05 8.337e-08 5.470e+12 <2e-16 ***
## calcium1140 -1.171e+06 2.108e-07 -5.556e+12 <2e-16 ***
## calcium1145 NA NA NA NA
## calcium1148 6.967e+05 1.257e-07 5.543e+12 <2e-16 ***
## calcium1149 -3.164e+05 5.759e-08 -5.494e+12 <2e-16 ***
## calcium1150 NA NA NA NA
## calcium1156.5 8.294e+04 1.550e-08 5.351e+12 <2e-16 ***
## calcium1162 NA NA NA NA
## calcium1166 3.089e+05 5.390e-08 5.731e+12 <2e-16 ***
## calcium1166.5 NA NA NA NA
## calcium1168.5 2.570e+05 4.842e-08 5.308e+12 <2e-16 ***
## calcium1170.5 NA NA NA NA
## calcium1171.5 NA NA NA NA
## calcium1172.5 -1.233e+05 2.215e-08 -5.565e+12 <2e-16 ***
## calcium1174.5 NA NA NA NA
## calcium1176 NA NA NA NA
## calcium1180 NA NA NA NA
## calcium1184 NA NA NA NA
## calcium1189 -1.307e+05 2.920e-08 -4.476e+12 <2e-16 ***
## calcium1190 -3.060e+03 4.946e-09 -6.186e+11 <2e-16 ***
## calcium1192.5 -8.876e+04 1.596e-08 -5.562e+12 <2e-16 ***
## calcium1195 3.440e+05 5.981e-08 5.752e+12 <2e-16 ***
## calcium1195.5 -2.142e+05 3.940e-08 -5.435e+12 <2e-16 ***
## calcium1198 NA NA NA NA
## calcium1199 NA NA NA NA
## calcium1200 3.051e+05 5.634e-08 5.415e+12 <2e-16 ***
## calcium1201 -7.386e+04 1.442e-08 -5.121e+12 <2e-16 ***
## calcium1204 NA NA NA NA
## calcium1208 -6.297e+03 4.122e-09 -1.528e+12 <2e-16 ***
## calcium1212.5 1.645e+05 2.682e-08 6.135e+12 <2e-16 ***
## calcium1216 NA NA NA NA
## calcium1224 NA NA NA NA
## calcium1226 -3.293e+05 6.025e-08 -5.465e+12 <2e-16 ***
## calcium1227 NA NA NA NA
## calcium1227.5 2.609e+05 4.485e-08 5.818e+12 <2e-16 ***
## calcium1229.5 NA NA NA NA
## calcium1232.5 -1.964e+05 3.371e-08 -5.826e+12 <2e-16 ***
## calcium1234.5 3.442e+05 6.587e-08 5.226e+12 <2e-16 ***
## calcium1236 NA NA NA NA
## calcium1240.5 -2.374e+05 4.347e-08 -5.462e+12 <2e-16 ***
## calcium1244.5 NA NA NA NA
## calcium1246 NA NA NA NA
## calcium1248 NA NA NA NA
## calcium1249.5 NA NA NA NA
## calcium1257 1.608e+05 3.202e-08 5.021e+12 <2e-16 ***
## calcium1260 NA NA NA NA
## calcium1261 -5.450e+02 4.456e-09 -1.223e+11 <2e-16 ***
## calcium1263 NA NA NA NA
## calcium1268 -6.034e+04 1.159e-08 -5.205e+12 <2e-16 ***
## calcium127 NA NA NA NA
## calcium1272 -4.519e+04 8.290e-09 -5.451e+12 <2e-16 ***
## calcium1272.5 -3.303e+05 5.504e-08 -6.002e+12 <2e-16 ***
## calcium1274 2.357e+04 4.180e-09 5.639e+12 <2e-16 ***
## calcium1278.5 NA NA NA NA
## calcium1285 6.812e+04 1.337e-08 5.095e+12 <2e-16 ***
## calcium1292.5 NA NA NA NA
## calcium1293 NA NA NA NA
## calcium1297 NA NA NA NA
## calcium1300 NA NA NA NA
## calcium1301 NA NA NA NA
## calcium1304 NA NA NA NA
## calcium1305.5 NA NA NA NA
## calcium1314 -2.350e+05 4.071e-08 -5.773e+12 <2e-16 ***
## calcium1317 NA NA NA NA
## calcium132 2.404e+05 4.187e-08 5.741e+12 <2e-16 ***
## calcium1328.5 -5.308e+05 1.019e-07 -5.210e+12 <2e-16 ***
## calcium1329.5 NA NA NA NA
## calcium1331 NA NA NA NA
## calcium1338.5 2.565e+05 4.618e-08 5.555e+12 <2e-16 ***
## calcium1339.5 4.301e+04 9.803e-09 4.388e+12 <2e-16 ***
## calcium1343 NA NA NA NA
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## calciumNA NA NA NA NA
## vitd0.1 NA NA NA NA
## vitd0.15 NA NA NA NA
## vitd0.2 NA NA NA NA
## vitd0.25 NA NA NA NA
## vitd0.3 NA NA NA NA
## vitd0.35 NA NA NA NA
## vitd0.4 NA NA NA NA
## vitd0.45 NA NA NA NA
## vitd0.5 NA NA NA NA
## vitd0.55000000000000004 NA NA NA NA
## vitd0.6 NA NA NA NA
## vitd0.65 NA NA NA NA
## vitd0.7 NA NA NA NA
## vitd0.75 NA NA NA NA
## vitd0.8 NA NA NA NA
## vitd0.85 NA NA NA NA
## vitd0.9 NA NA NA NA
## vitd0.95 NA NA NA NA
## vitd1 NA NA NA NA
## vitd1.05 NA NA NA NA
## vitd1.1000000000000001 NA NA NA NA
## vitd1.1499999999999999 NA NA NA NA
## vitd1.2 NA NA NA NA
## vitd1.25 NA NA NA NA
## vitd1.3 NA NA NA NA
## vitd1.35 NA NA NA NA
## vitd1.4 NA NA NA NA
## vitd1.45 NA NA NA NA
## vitd1.5 NA NA NA NA
## vitd1.55 NA NA NA NA
## vitd1.6 NA NA NA NA
## vitd1.65 NA NA NA NA
## vitd1.7 NA NA NA NA
## vitd1.75 NA NA NA NA
## vitd1.8 NA NA NA NA
## vitd1.85 NA NA NA NA
## vitd1.9 NA NA NA NA
## vitd1.95 NA NA NA NA
## vitd10 NA NA NA NA
## vitd10.050000000000001 NA NA NA NA
## vitd10.1 NA NA NA NA
## vitd10.3 NA NA NA NA
## vitd10.6 NA NA NA NA
## vitd10.7 NA NA NA NA
## vitd10.85 NA NA NA NA
## vitd10.95 NA NA NA NA
## vitd11 NA NA NA NA
## vitd11.2 NA NA NA NA
## vitd11.3 NA NA NA NA
## vitd11.45 NA NA NA NA
## vitd11.6 NA NA NA NA
## vitd11.9 NA NA NA NA
## vitd12.05 NA NA NA NA
## vitd12.15 NA NA NA NA
## vitd12.3 NA NA NA NA
## vitd12.4 NA NA NA NA
## vitd12.6 NA NA NA NA
## vitd12.7 NA NA NA NA
## vitd12.9 NA NA NA NA
## vitd13 NA NA NA NA
## vitd13.25 NA NA NA NA
## vitd13.3 NA NA NA NA
## vitd13.35 NA NA NA NA
## vitd13.8 NA NA NA NA
## vitd13.9 NA NA NA NA
## vitd14.5 NA NA NA NA
## vitd14.8 NA NA NA NA
## vitd15.5 NA NA NA NA
## vitd15.9 NA NA NA NA
## vitd16.350000000000001 NA NA NA NA
## vitd16.600000000000001 NA NA NA NA
## vitd16.95 NA NA NA NA
## vitd17 NA NA NA NA
## vitd17.95 NA NA NA NA
## vitd18.05 NA NA NA NA
## vitd18.2 NA NA NA NA
## vitd19.45 NA NA NA NA
## vitd2 NA NA NA NA
## vitd2.0499999999999998 NA NA NA NA
## vitd2.1 NA NA NA NA
## vitd2.15 NA NA NA NA
## vitd2.2000000000000002 NA NA NA NA
## vitd2.25 NA NA NA NA
## vitd2.2999999999999998 NA NA NA NA
## vitd2.35 NA NA NA NA
## vitd2.4 NA NA NA NA
## vitd2.4500000000000002 NA NA NA NA
## vitd2.5 NA NA NA NA
## vitd2.5499999999999998 NA NA NA NA
## vitd2.6 NA NA NA NA
## vitd2.65 NA NA NA NA
## vitd2.7 NA NA NA NA
## vitd2.75 NA NA NA NA
## vitd2.8 NA NA NA NA
## vitd2.85 NA NA NA NA
## vitd2.9 NA NA NA NA
## vitd2.95 NA NA NA NA
## vitd20.25 NA NA NA NA
## vitd21.65 NA NA NA NA
## vitd22 NA NA NA NA
## vitd22.1 NA NA NA NA
## vitd22.25 NA NA NA NA
## vitd22.3 NA NA NA NA
## vitd22.65 NA NA NA NA
## vitd23.3 NA NA NA NA
## vitd23.9 NA NA NA NA
## vitd24.7 NA NA NA NA
## vitd29.35 NA NA NA NA
## vitd3 NA NA NA NA
## vitd3.05 NA NA NA NA
## vitd3.1 NA NA NA NA
## vitd3.15 NA NA NA NA
## vitd3.2 NA NA NA NA
## vitd3.25 NA NA NA NA
## vitd3.3 NA NA NA NA
## vitd3.35 NA NA NA NA
## vitd3.4 NA NA NA NA
## vitd3.45 NA NA NA NA
## vitd3.5 NA NA NA NA
## vitd3.55 NA NA NA NA
## vitd3.6 NA NA NA NA
## vitd3.65 NA NA NA NA
## vitd3.7 NA NA NA NA
## vitd3.75 NA NA NA NA
## vitd3.8 NA NA NA NA
## vitd3.85 NA NA NA NA
## vitd3.9 NA NA NA NA
## vitd3.95 NA NA NA NA
## vitd31.7 NA NA NA NA
## vitd32.1 NA NA NA NA
## vitd32.6 NA NA NA NA
## vitd33.200000000000003 NA NA NA NA
## vitd4 NA NA NA NA
## vitd4.05 NA NA NA NA
## vitd4.0999999999999996 NA NA NA NA
## vitd4.1500000000000004 NA NA NA NA
## vitd4.2 NA NA NA NA
## vitd4.25 NA NA NA NA
## vitd4.3 NA NA NA NA
## vitd4.3499999999999996 NA NA NA NA
## vitd4.4000000000000004 NA NA NA NA
## vitd4.45 NA NA NA NA
## vitd4.5 NA NA NA NA
## vitd4.55 NA NA NA NA
## vitd4.5999999999999996 NA NA NA NA
## vitd4.6500000000000004 NA NA NA NA
## vitd4.7 NA NA NA NA
## vitd4.75 NA NA NA NA
## vitd4.8 NA NA NA NA
## vitd4.8499999999999996 NA NA NA NA
## vitd4.9000000000000004 NA NA NA NA
## vitd4.95 NA NA NA NA
## vitd43.85 NA NA NA NA
## vitd48.8 NA NA NA NA
## vitd5 NA NA NA NA
## vitd5.05 NA NA NA NA
## vitd5.0999999999999996 NA NA NA NA
## vitd5.15 NA NA NA NA
## vitd5.2 NA NA NA NA
## vitd5.25 NA NA NA NA
## vitd5.3 NA NA NA NA
## vitd5.35 NA NA NA NA
## vitd5.4 NA NA NA NA
## vitd5.45 NA NA NA NA
## vitd5.5 NA NA NA NA
## vitd5.55 NA NA NA NA
## vitd5.6 NA NA NA NA
## vitd5.65 NA NA NA NA
## vitd5.7 NA NA NA NA
## vitd5.75 NA NA NA NA
## vitd5.85 NA NA NA NA
## vitd5.9 NA NA NA NA
## vitd5.95 NA NA NA NA
## vitd53.45 NA NA NA NA
## vitd57.9 NA NA NA NA
## vitd6 NA NA NA NA
## vitd6.05 NA NA NA NA
## vitd6.1 NA NA NA NA
## vitd6.15 NA NA NA NA
## vitd6.2 NA NA NA NA
## vitd6.25 NA NA NA NA
## vitd6.3 NA NA NA NA
## vitd6.35 NA NA NA NA
## vitd6.45 NA NA NA NA
## vitd6.5 NA NA NA NA
## vitd6.55 NA NA NA NA
## vitd6.6 NA NA NA NA
## vitd6.65 NA NA NA NA
## vitd6.7 NA NA NA NA
## vitd6.75 NA NA NA NA
## vitd6.8 NA NA NA NA
## vitd6.85 NA NA NA NA
## vitd6.9 NA NA NA NA
## vitd7 NA NA NA NA
## vitd7.1 NA NA NA NA
## vitd7.2 NA NA NA NA
## vitd7.25 NA NA NA NA
## vitd7.3 NA NA NA NA
## vitd7.35 NA NA NA NA
## vitd7.4 NA NA NA NA
## vitd7.45 NA NA NA NA
## vitd7.5 NA NA NA NA
## vitd7.55 NA NA NA NA
## vitd7.65 NA NA NA NA
## vitd7.7 NA NA NA NA
## vitd7.75 NA NA NA NA
## vitd7.8 NA NA NA NA
## vitd7.85 NA NA NA NA
## vitd8 NA NA NA NA
## vitd8.0500000000000007 NA NA NA NA
## vitd8.1 NA NA NA NA
## vitd8.15 NA NA NA NA
## vitd8.1999999999999993 NA NA NA NA
## vitd8.25 NA NA NA NA
## vitd8.3000000000000007 NA NA NA NA
## vitd8.35 NA NA NA NA
## vitd8.4 NA NA NA NA
## vitd8.5 NA NA NA NA
## vitd8.5500000000000007 NA NA NA NA
## vitd8.65 NA NA NA NA
## vitd8.6999999999999993 NA NA NA NA
## vitd8.75 NA NA NA NA
## vitd9 NA NA NA NA
## vitd9.0500000000000007 NA NA NA NA
## vitd9.1 NA NA NA NA
## vitd9.25 NA NA NA NA
## vitd9.3000000000000007 NA NA NA NA
## vitd9.4 NA NA NA NA
## vitd9.4499999999999993 NA NA NA NA
## vitd9.5500000000000007 NA NA NA NA
## vitd9.6999999999999993 NA NA NA NA
## vitd9.75 NA NA NA NA
## vitd9.8000000000000007 NA NA NA NA
## vitd9.85 NA NA NA NA
## vitd9.9 NA NA NA NA
## vitd9.9499999999999993 NA NA NA NA
## vitdNA NA NA NA NA
## DSQTVD0.313 NA NA NA NA
## DSQTVD0.33300000000000002 NA NA NA NA
## DSQTVD0.41699999999999998 NA NA NA NA
## DSQTVD0.66700000000000004 NA NA NA NA
## DSQTVD0.83299999999999996 NA NA NA NA
## DSQTVD1 NA NA NA NA
## DSQTVD1.333 NA NA NA NA
## DSQTVD1.667 NA NA NA NA
## DSQTVD10 NA NA NA NA
## DSQTVD10.833 NA NA NA NA
## DSQTVD100 NA NA NA NA
## DSQTVD100.17 NA NA NA NA
## DSQTVD105 NA NA NA NA
## DSQTVD11.667 NA NA NA NA
## DSQTVD110 NA NA NA NA
## DSQTVD112.5 NA NA NA NA
## DSQTVD115.833 NA NA NA NA
## DSQTVD116.667 NA NA NA NA
## DSQTVD12.5 NA NA NA NA
## DSQTVD125 NA NA NA NA
## DSQTVD1250 NA NA NA NA
## DSQTVD1275 NA NA NA NA
## DSQTVD13.33 NA NA NA NA
## DSQTVD13.333 NA NA NA NA
## DSQTVD133.333 NA NA NA NA
## DSQTVD135 NA NA NA NA
## DSQTVD137.5 NA NA NA NA
## DSQTVD14.583 NA NA NA NA
## DSQTVD140 NA NA NA NA
## DSQTVD141.667 NA NA NA NA
## DSQTVD145 NA NA NA NA
## DSQTVD149.167 NA NA NA NA
## DSQTVD15 NA NA NA NA
## DSQTVD15.167 NA NA NA NA
## DSQTVD150 NA NA NA NA
## DSQTVD16.25 NA NA NA NA
## DSQTVD16.667000000000002 NA NA NA NA
## DSQTVD162.5 NA NA NA NA
## DSQTVD165 NA NA NA NA
## DSQTVD166.667 NA NA NA NA
## DSQTVD17.082999999999998 NA NA NA NA
## DSQTVD17.5 NA NA NA NA
## DSQTVD171.667 NA NA NA NA
## DSQTVD18.329999999999998 NA NA NA NA
## DSQTVD186.667 NA NA NA NA
## DSQTVD2.5 NA NA NA NA
## DSQTVD2.9169999999999998 NA NA NA NA
## DSQTVD20 NA NA NA NA
## DSQTVD20.832999999999998 NA NA NA NA
## DSQTVD20.88 NA NA NA NA
## DSQTVD208.333 NA NA NA NA
## DSQTVD21.667000000000002 NA NA NA NA
## DSQTVD21.667999999999999 NA NA NA NA
## DSQTVD22 NA NA NA NA
## DSQTVD23.332999999999998 NA NA NA NA
## DSQTVD25 NA NA NA NA
## DSQTVD25.03 NA NA NA NA
## DSQTVD250 NA NA NA NA
## DSQTVD2570 NA NA NA NA
## DSQTVD26.667000000000002 NA NA NA NA
## DSQTVD262.5 NA NA NA NA
## DSQTVD27.5 NA NA NA NA
## DSQTVD270 NA NA NA NA
## DSQTVD275 NA NA NA NA
## DSQTVD28.38 NA NA NA NA
## DSQTVD29.163 NA NA NA NA
## DSQTVD29.167000000000002 NA NA NA NA
## DSQTVD3.3 NA NA NA NA
## DSQTVD3.3330000000000002 NA NA NA NA
## DSQTVD30 NA NA NA NA
## DSQTVD31.25 NA NA NA NA
## DSQTVD32.5 NA NA NA NA
## DSQTVD33.332999999999998 NA NA NA NA
## DSQTVD35 NA NA NA NA
## DSQTVD37.5 NA NA NA NA
## DSQTVD4 NA NA NA NA
## DSQTVD4.0830000000000002 NA NA NA NA
## DSQTVD4.1669999999999998 NA NA NA NA
## DSQTVD4.5 NA NA NA NA
## DSQTVD4.75 NA NA NA NA
## DSQTVD40 NA NA NA NA
## DSQTVD40.133000000000003 NA NA NA NA
## DSQTVD40.831000000000003 NA NA NA NA
## DSQTVD41.667000000000002 NA NA NA NA
## DSQTVD45 NA NA NA NA
## DSQTVD46.667000000000002 NA NA NA NA
## DSQTVD48.332999999999998 NA NA NA NA
## DSQTVD5 NA NA NA NA
## DSQTVD5.3330000000000002 NA NA NA NA
## DSQTVD5.8330000000000002 NA NA NA NA
## DSQTVD50 NA NA NA NA
## DSQTVD50.75 NA NA NA NA
## DSQTVD53.33 NA NA NA NA
## DSQTVD53.92 NA NA NA NA
## DSQTVD55 NA NA NA NA
## DSQTVD58.332999999999998 NA NA NA NA
## DSQTVD6.25 NA NA NA NA
## DSQTVD6.6669999999999998 NA NA NA NA
## DSQTVD6.67 NA NA NA NA
## DSQTVD60 NA NA NA NA
## DSQTVD61.667000000000002 NA NA NA NA
## DSQTVD62.5 NA NA NA NA
## DSQTVD65 NA NA NA NA
## DSQTVD66.667000000000002 NA NA NA NA
## DSQTVD67.5 NA NA NA NA
## DSQTVD7 NA NA NA NA
## DSQTVD7.0830000000000002 NA NA NA NA
## DSQTVD7.5 NA NA NA NA
## DSQTVD70 NA NA NA NA
## DSQTVD72.5 NA NA NA NA
## DSQTVD73.33 NA NA NA NA
## DSQTVD75 NA NA NA NA
## DSQTVD77.332999999999998 NA NA NA NA
## DSQTVD8.3330000000000002 NA NA NA NA
## DSQTVD80 NA NA NA NA
## DSQTVD81.25 NA NA NA NA
## DSQTVD81.667000000000002 NA NA NA NA
## DSQTVD85 NA NA NA NA
## DSQTVD86.667000000000002 NA NA NA NA
## DSQTVD87.5 NA NA NA NA
## DSQTVD9.3330000000000002 NA NA NA NA
## DSQTVD9.375 NA NA NA NA
## DSQTVD9.6669999999999998 NA NA NA NA
## DSQTVD90 NA NA NA NA
## DSQTVDNA NA NA NA NA
## DSQTCALC1.83 NA NA NA NA
## DSQTCALC100 NA NA NA NA
## DSQTCALC1000 NA NA NA NA
## DSQTCALC1017.59 NA NA NA NA
## DSQTCALC105 NA NA NA NA
## DSQTCALC105.6 NA NA NA NA
## DSQTCALC1050.01 NA NA NA NA
## DSQTCALC106.67 NA NA NA NA
## DSQTCALC109.33 NA NA NA NA
## DSQTCALC11 NA NA NA NA
## DSQTCALC11.25 NA NA NA NA
## DSQTCALC110 NA NA NA NA
## DSQTCALC1100 NA NA NA NA
## DSQTCALC111.1 NA NA NA NA
## DSQTCALC112 NA NA NA NA
## DSQTCALC1126.67 NA NA NA NA
## DSQTCALC1146 NA NA NA NA
## DSQTCALC1150 NA NA NA NA
## DSQTCALC117.33 NA NA NA NA
## DSQTCALC118 NA NA NA NA
## DSQTCALC120 NA NA NA NA
## DSQTCALC1200 NA NA NA NA
## DSQTCALC1218 NA NA NA NA
## DSQTCALC1220 NA NA NA NA
## DSQTCALC1240 NA NA NA NA
## DSQTCALC125 NA NA NA NA
## DSQTCALC1250 NA NA NA NA
## DSQTCALC1260 NA NA NA NA
## DSQTCALC129.66999999999999 NA NA NA NA
## DSQTCALC13.33 NA NA NA NA
## DSQTCALC132 NA NA NA NA
## DSQTCALC133.33000000000001 NA NA NA NA
## DSQTCALC134.43 NA NA NA NA
## DSQTCALC135.33000000000001 NA NA NA NA
## DSQTCALC1350 NA NA NA NA
## DSQTCALC14 NA NA NA NA
## DSQTCALC14.67 NA NA NA NA
## DSQTCALC140 NA NA NA NA
## DSQTCALC1400 NA NA NA NA
## DSQTCALC1420 NA NA NA NA
## DSQTCALC1440 NA NA NA NA
## DSQTCALC145 NA NA NA NA
## DSQTCALC1450 NA NA NA NA
## DSQTCALC146.66999999999999 NA NA NA NA
## DSQTCALC15 NA NA NA NA
## DSQTCALC1500 NA NA NA NA
## DSQTCALC1560 NA NA NA NA
## DSQTCALC16.670000000000002 NA NA NA NA
## DSQTCALC1600 NA NA NA NA
## DSQTCALC166.67 NA NA NA NA
## DSQTCALC17.829999999999998 NA NA NA NA
## DSQTCALC170.17 NA NA NA NA
## DSQTCALC173.33 NA NA NA NA
## DSQTCALC18 NA NA NA NA
## DSQTCALC1800 NA NA NA NA
## DSQTCALC182 NA NA NA NA
## DSQTCALC183.33 NA NA NA NA
## DSQTCALC186.67 NA NA NA NA
## DSQTCALC1890 NA NA NA NA
## DSQTCALC20 NA NA NA NA
## DSQTCALC200 NA NA NA NA
## DSQTCALC2020 NA NA NA NA
## DSQTCALC208.33 NA NA NA NA
## DSQTCALC21.33 NA NA NA NA
## DSQTCALC210 NA NA NA NA
## DSQTCALC212.67 NA NA NA NA
## DSQTCALC213.33 NA NA NA NA
## DSQTCALC220 NA NA NA NA
## DSQTCALC221.17 NA NA NA NA
## DSQTCALC230 NA NA NA NA
## DSQTCALC236.67 NA NA NA NA
## DSQTCALC240 NA NA NA NA
## DSQTCALC246.67 NA NA NA NA
## DSQTCALC247.49 NA NA NA NA
## DSQTCALC25 NA NA NA NA
## DSQTCALC250 NA NA NA NA
## DSQTCALC251.67 NA NA NA NA
## DSQTCALC26.67 NA NA NA NA
## DSQTCALC260 NA NA NA NA
## DSQTCALC260.2 NA NA NA NA
## DSQTCALC2626.67 NA NA NA NA
## DSQTCALC263.2 NA NA NA NA
## DSQTCALC266.67 NA NA NA NA
## DSQTCALC27.5 NA NA NA NA
## DSQTCALC273.33 NA NA NA NA
## DSQTCALC275 NA NA NA NA
## DSQTCALC28 NA NA NA NA
## DSQTCALC28.67 NA NA NA NA
## DSQTCALC282 NA NA NA NA
## DSQTCALC2835 NA NA NA NA
## DSQTCALC286.67 NA NA NA NA
## DSQTCALC3.33 NA NA NA NA
## DSQTCALC30 NA NA NA NA
## DSQTCALC300 NA NA NA NA
## DSQTCALC307.33 NA NA NA NA
## DSQTCALC317.83 NA NA NA NA
## DSQTCALC318.33 NA NA NA NA
## DSQTCALC328.33 NA NA NA NA
## DSQTCALC33.33 NA NA NA NA
## DSQTCALC330 NA NA NA NA
## DSQTCALC333 NA NA NA NA
## DSQTCALC333.3 NA NA NA NA
## DSQTCALC333.33 NA NA NA NA
## DSQTCALC334 NA NA NA NA
## DSQTCALC340 NA NA NA NA
## DSQTCALC35 NA NA NA NA
## DSQTCALC353.33 NA NA NA NA
## DSQTCALC36.67 NA NA NA NA
## DSQTCALC361.33 NA NA NA NA
## DSQTCALC375 NA NA NA NA
## DSQTCALC383.33 NA NA NA NA
## DSQTCALC386.67 NA NA NA NA
## DSQTCALC40 NA NA NA NA
## DSQTCALC400 NA NA NA NA
## DSQTCALC408.33 NA NA NA NA
## DSQTCALC420 NA NA NA NA
## DSQTCALC433.33 NA NA NA NA
## DSQTCALC44 NA NA NA NA
## DSQTCALC440 NA NA NA NA
## DSQTCALC446.67 NA NA NA NA
## DSQTCALC45 NA NA NA NA
## DSQTCALC450 NA NA NA NA
## DSQTCALC46 NA NA NA NA
## DSQTCALC46.67 NA NA NA NA
## DSQTCALC466.67 NA NA NA NA
## DSQTCALC473.33 NA NA NA NA
## DSQTCALC476.67 NA NA NA NA
## DSQTCALC483.33 NA NA NA NA
## DSQTCALC486.67 NA NA NA NA
## DSQTCALC49 NA NA NA NA
## DSQTCALC50 NA NA NA NA
## DSQTCALC500 NA NA NA NA
## DSQTCALC508.33 NA NA NA NA
## DSQTCALC51 NA NA NA NA
## DSQTCALC510 NA NA NA NA
## DSQTCALC525 NA NA NA NA
## DSQTCALC53.33 NA NA NA NA
## DSQTCALC530 NA NA NA NA
## DSQTCALC533 NA NA NA NA
## DSQTCALC543.29999999999995 NA NA NA NA
## DSQTCALC550 NA NA NA NA
## DSQTCALC555 NA NA NA NA
## DSQTCALC56 NA NA NA NA
## DSQTCALC560 NA NA NA NA
## DSQTCALC6.67 NA NA NA NA
## DSQTCALC600 NA NA NA NA
## DSQTCALC606.66 NA NA NA NA
## DSQTCALC615 NA NA NA NA
## DSQTCALC620 NA NA NA NA
## DSQTCALC630 NA NA NA NA
## DSQTCALC633.33000000000004 NA NA NA NA
## DSQTCALC634.66999999999996 NA NA NA NA
## DSQTCALC65 NA NA NA NA
## DSQTCALC66.66 NA NA NA NA
## DSQTCALC66.67 NA NA NA NA
## DSQTCALC666.67 NA NA NA NA
## DSQTCALC692.67 NA NA NA NA
## DSQTCALC7.33 NA NA NA NA
## DSQTCALC720 NA NA NA NA
## DSQTCALC73.33 NA NA NA NA
## DSQTCALC748 NA NA NA NA
## DSQTCALC75 NA NA NA NA
## DSQTCALC756.67 NA NA NA NA
## DSQTCALC761.5 NA NA NA NA
## DSQTCALC77 NA NA NA NA
## DSQTCALC8.33 NA NA NA NA
## DSQTCALC80 NA NA NA NA
## DSQTCALC800 NA NA NA NA
## DSQTCALC820 NA NA NA NA
## DSQTCALC83.33 NA NA NA NA
## DSQTCALC850 NA NA NA NA
## DSQTCALC86.67 NA NA NA NA
## DSQTCALC88 NA NA NA NA
## DSQTCALC9.33 NA NA NA NA
## DSQTCALC900 NA NA NA NA
## DSQTCALC913.33 NA NA NA NA
## DSQTCALC915 NA NA NA NA
## DSQTCALC93.33 NA NA NA NA
## DSQTCALC95.83 NA NA NA NA
## DSQTCALCNA NA NA NA NA
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 3.48e-10 on 554 degrees of freedom
## (1418 observations deleted due to missingness)
## Multiple R-squared: 1, Adjusted R-squared: 1
## F-statistic: 2.355e+25 on 925 and 554 DF, p-value: < 2.2e-16Step 2 — Interpret the Coefficients (10 points)
A. Intercept (β₀):
The estimated intercept is 0.8992 g/cm². This represents the model’s predicted total femur bone mineral density for a person with a dietary calcium intake of exactly 0 mg/day. The intercept should be interpreted as a statistical significance for the regression line rather than a substantively estimate.
B. Slope (β₁):
The estimated slope is 0.00003079 g/cm² per mg/day of calcium intake. This means that for every 1 mg/day increase in dietary calcium, total femur BMD is estimated to increase by approximately 0.0000308 g/cm², on average. The direction of the association is positive, consistent with the hypothesis that higher calcium intake supports bone health.
Step 3 — Statistical Inference (15 points)
## 2.5 % 97.5 %
## (Intercept) 281173 281173
## RIAGENDRFemale -11209 -11209
## RIDAGEYR 1600 1600
## RIDRETH1Other Hispanic -61752 -61752
## RIDRETH1Non-Hispanic White -9894 -9894
## RIDRETH1Non-Hispanic Black 21745 21745
## RIDRETH1Other -43094 -43094
## BMXBMI15.5 105279 105279
## BMXBMI16.7 -211467 -211467
## BMXBMI16.8 -15940 -15940
## BMXBMI17.100000000000001 88007 88007
## BMXBMI17.3 160476 160476
## BMXBMI17.7 132021 132021
## BMXBMI17.899999999999999 -583065 -583065
## BMXBMI18.100000000000001 276588 276588
## BMXBMI18.2 -36323 -36323
## BMXBMI18.5 -281826 -281826
## BMXBMI18.600000000000001 -58964 -58964
## BMXBMI18.8 -64622 -64622
## BMXBMI18.899999999999999 -112105 -112105
## BMXBMI19 84904 84904
## BMXBMI19.100000000000001 -43648 -43648
## BMXBMI19.2 -92180 -92180
## BMXBMI19.399999999999999 45174 45174
## BMXBMI19.600000000000001 129103 129103
## BMXBMI19.7 580535 580535
## BMXBMI19.8 47333 47333
## BMXBMI19.899999999999999 -178171 -178171
## BMXBMI20.100000000000001 91999 91999
## BMXBMI20.2 85260 85260
## BMXBMI20.3 -341205 -341205
## BMXBMI20.399999999999999 -243291 -243291
## BMXBMI20.5 467227 467227
## BMXBMI20.7 113634 113634
## BMXBMI20.8 -122199 -122199
## BMXBMI20.9 106919 106919
## BMXBMI21 368315 368315
## BMXBMI21.1 -38048 -38048
## BMXBMI21.2 -814 -814
## BMXBMI21.3 208005 208005
## BMXBMI21.5 23657 23657
## BMXBMI21.6 -112127 -112127
## BMXBMI21.7 50410 50410
## BMXBMI21.8 36582 36582
## BMXBMI21.9 -196799 -196799
## BMXBMI22 -369881 -369881
## BMXBMI22.1 -222235 -222235
## BMXBMI22.2 -297052 -297052
## BMXBMI22.3 13150 13150
## BMXBMI22.4 -129735 -129735
## BMXBMI22.5 -348847 -348847
## BMXBMI22.6 -19454 -19454
## BMXBMI22.7 9523 9523
## BMXBMI22.8 287587 287587
## BMXBMI22.9 -94214 -94214
## BMXBMI23 -91646 -91646
## BMXBMI23.1 -136682 -136682
## BMXBMI23.2 -54594 -54594
## BMXBMI23.3 -87925 -87925
## BMXBMI23.4 -10725 -10725
## BMXBMI23.5 268258 268258
## BMXBMI23.6 183041 183041
## BMXBMI23.7 -379249 -379249
## BMXBMI23.8 -37066 -37066
## BMXBMI23.9 -17423 -17423
## BMXBMI24 9070 9070
## BMXBMI24.1 242063 242063
## BMXBMI24.2 -10385 -10385
## BMXBMI24.3 -3480 -3480
## BMXBMI24.4 -275514 -275514
## BMXBMI24.5 -59332 -59332
## BMXBMI24.6 -31048 -31048
## BMXBMI24.7 -475515 -475515
## BMXBMI24.8 -52402 -52402
## BMXBMI24.9 -239666 -239666
## BMXBMI25 386548 386548
## BMXBMI25.1 -17174 -17174
## BMXBMI25.2 84399 84399
## BMXBMI25.3 -167605 -167605
## BMXBMI25.4 -136458 -136458
## BMXBMI25.5 -51258 -51258
## BMXBMI25.6 -108460 -108460
## BMXBMI25.7 -189648 -189648
## BMXBMI25.8 135701 135701
## BMXBMI25.9 77648 77648
## BMXBMI26 10256 10256
## BMXBMI26.1 -93756 -93756
## BMXBMI26.2 -91475 -91475
## BMXBMI26.3 -23025 -23025
## BMXBMI26.4 172272 172272
## BMXBMI26.5 -49615 -49615
## BMXBMI26.6 -373862 -373862
## BMXBMI26.7 -23724 -23724
## BMXBMI26.8 -4717 -4717
## BMXBMI26.9 -279848 -279848
## BMXBMI27 340257 340257
## BMXBMI27.1 -59420 -59420
## BMXBMI27.2 -2065 -2065
## BMXBMI27.3 -488503 -488503
## BMXBMI27.4 -24102 -24102
## BMXBMI27.5 -165272 -165272
## BMXBMI27.6 -956299 -956299
## BMXBMI27.7 -36479 -36479
## BMXBMI27.8 140391 140391
## BMXBMI27.9 -146005 -146005
## BMXBMI28 -82765 -82765
## BMXBMI28.1 48947 48947
## BMXBMI28.2 -160114 -160114
## BMXBMI28.3 86178 86178
## BMXBMI28.4 -84193 -84193
## BMXBMI28.5 65380 65380
## BMXBMI28.6 -187267 -187267
## BMXBMI28.7 -135166 -135166
## BMXBMI28.8 60985 60985
## BMXBMI28.9 -295217 -295217
## BMXBMI29 -472527 -472527
## BMXBMI29.1 28236 28236
## BMXBMI29.2 -90894 -90894
## BMXBMI29.3 -259786 -259786
## BMXBMI29.4 -53386 -53386
## BMXBMI29.5 -33459 -33459
## BMXBMI29.6 -164179 -164179
## BMXBMI29.7 -125805 -125805
## BMXBMI29.8 -8631 -8631
## BMXBMI29.9 -59386 -59386
## BMXBMI30 -96648 -96648
## BMXBMI30.1 -104304 -104304
## BMXBMI30.2 -246337 -246337
## BMXBMI30.3 -92580 -92580
## BMXBMI30.4 -1030998 -1030998
## BMXBMI30.5 -191002 -191002
## BMXBMI30.6 91601 91601
## BMXBMI30.7 -134065 -134065
## BMXBMI30.8 -588722 -588722
## BMXBMI30.9 108359 108359
## BMXBMI31 -10851 -10851
## BMXBMI31.1 -80316 -80316
## BMXBMI31.2 60822 60822
## BMXBMI31.3 -430726 -430726
## BMXBMI31.4 -58855 -58855
## BMXBMI31.5 279087 279087
## BMXBMI31.6 408934 408934
## BMXBMI31.7 278122 278122
## BMXBMI31.8 -636430 -636430
## BMXBMI31.9 -135352 -135352
## BMXBMI32 97871 97871
## BMXBMI32.1 -66734 -66734
## BMXBMI32.200000000000003 -89519 -89519
## BMXBMI32.299999999999997 96328 96328
## BMXBMI32.4 -28648 -28648
## BMXBMI32.5 -11153 -11153
## BMXBMI32.6 30833 30833
## BMXBMI32.799999999999997 24651 24651
## BMXBMI32.9 185350 185350
## BMXBMI33 -39531 -39531
## BMXBMI33.1 529758 529758
## BMXBMI33.200000000000003 -191489 -191489
## BMXBMI33.299999999999997 -166186 -166186
## BMXBMI33.4 -1388890 -1388890
## BMXBMI33.5 -2575 -2575
## BMXBMI33.6 -350436 -350436
## BMXBMI33.700000000000003 -137030 -137030
## BMXBMI33.799999999999997 -79990 -79990
## BMXBMI33.9 -8747 -8747
## BMXBMI34 -22178 -22178
## BMXBMI34.1 -604859 -604859
## BMXBMI34.200000000000003 -291252 -291252
## BMXBMI34.299999999999997 -12099 -12099
## BMXBMI34.4 -136450 -136450
## BMXBMI34.5 -269973 -269973
## BMXBMI34.6 -59440 -59440
## BMXBMI34.700000000000003 -112429 -112429
## BMXBMI34.799999999999997 -165458 -165458
## BMXBMI34.9 10330 10330
## BMXBMI35 165849 165849
## BMXBMI35.1 32341 32341
## BMXBMI35.200000000000003 -1283 -1283
## BMXBMI35.299999999999997 -53640 -53640
## BMXBMI35.4 -163361 -163361
## BMXBMI35.5 -57337 -57337
## BMXBMI35.6 -117631 -117631
## BMXBMI35.700000000000003 -113744 -113744
## BMXBMI35.799999999999997 -76092 -76092
## BMXBMI35.9 -60301 -60301
## BMXBMI36 123127 123127
## BMXBMI36.1 -39701 -39701
## BMXBMI36.200000000000003 -212173 -212173
## BMXBMI36.299999999999997 -117387 -117387
## BMXBMI36.4 -85649 -85649
## BMXBMI36.5 -25934 -25934
## BMXBMI36.6 92079 92079
## BMXBMI36.700000000000003 -187862 -187862
## BMXBMI36.799999999999997 -98505 -98505
## BMXBMI36.9 -14561 -14561
## BMXBMI37.1 -210187 -210187
## BMXBMI37.200000000000003 -130850 -130850
## BMXBMI37.299999999999997 -289787 -289787
## BMXBMI37.4 -233037 -233037
## BMXBMI37.5 -109869 -109869
## BMXBMI37.6 -135256 -135256
## BMXBMI37.799999999999997 -676703 -676703
## BMXBMI37.9 3632 3632
## BMXBMI38.1 -69780 -69780
## BMXBMI38.200000000000003 -45263 -45263
## BMXBMI38.4 -93457 -93457
## BMXBMI38.5 10038 10038
## BMXBMI38.6 -80154 -80154
## BMXBMI38.700000000000003 -326096 -326096
## BMXBMI38.799999999999997 -63690 -63690
## BMXBMI38.9 273919 273919
## BMXBMI39.1 -96189 -96189
## BMXBMI39.299999999999997 207251 207251
## BMXBMI39.4 -135822 -135822
## BMXBMI39.5 -136924 -136924
## BMXBMI39.700000000000003 -149377 -149377
## BMXBMI39.799999999999997 -92650 -92650
## BMXBMI40 -1006456 -1006456
## BMXBMI40.1 -269549 -269549
## BMXBMI40.200000000000003 76136 76136
## BMXBMI40.299999999999997 -137840 -137840
## BMXBMI40.4 -82153 -82153
## BMXBMI40.6 -97150 -97150
## BMXBMI40.799999999999997 -167776 -167776
## BMXBMI41 -121576 -121576
## BMXBMI41.1 -157809 -157809
## BMXBMI41.2 -69027 -69027
## BMXBMI41.4 6431 6431
## BMXBMI41.5 -13871 -13871
## BMXBMI41.6 -62427 -62427
## BMXBMI41.7 -28390 -28390
## BMXBMI41.9 -142265 -142265
## BMXBMI42 -51745 -51745
## BMXBMI42.1 -343130 -343130
## BMXBMI42.7 -52982 -52982
## BMXBMI42.8 463999 463999
## BMXBMI43 315184 315184
## BMXBMI43.2 -250856 -250856
## BMXBMI43.3 179418 179418
## BMXBMI43.4 -111870 -111870
## BMXBMI43.6 34294 34294
## BMXBMI43.7 293199 293199
## BMXBMI43.8 -19927 -19927
## BMXBMI44 -112411 -112411
## BMXBMI44.1 57457 57457
## BMXBMI44.2 -306834 -306834
## BMXBMI44.6 30629 30629
## BMXBMI45.1 -141422 -141422
## BMXBMI46.2 439543 439543
## BMXBMI47 96987 96987
## BMXBMI47.5 -163332 -163332
## BMXBMI48 -77168 -77168
## BMXBMI48.1 157698 157698
## BMXBMI48.4 105428 105428
## BMXBMI49.1 -221689 -221689
## BMXBMI49.3 -86370 -86370
## BMXBMI49.6 -5298 -5298
## BMXBMI49.8 -467733 -467733
## BMXBMI50.3 -70440 -70440
## BMXBMI50.7 -178155 -178155
## BMXBMI50.8 306811 306811
## BMXBMI51.5 580280 580280
## BMXBMI52 -39232 -39232
## BMXBMI52.4 -68862 -68862
## BMXBMI52.6 183283 183283
## BMXBMI52.8 -64080 -64080
## BMXBMI53.7 -120618 -120618
## BMXBMI56.3 142025 142025
## BMXBMI61.6 -163763 -163763
## BMXBMI63.4 -116692 -116692
## BMXBMINA -91130 -91130
## smokerPast 72826 72826
## smokerNever 62890 62890
## totmet100 -258714 -258714
## totmet1000 -316124 -316124
## totmet1040 70242 70242
## totmet1060 -173497 -173497
## totmet1080 -376414 -376414
## totmet1100 -41673 -41673
## totmet1120 -100810 -100810
## totmet1140 -899230 -899230
## totmet120 -232055 -232055
## totmet1200 -179302 -179302
## totmet1320 328090 328090
## totmet1360 -24182 -24182
## totmet1400 -1566956 -1566956
## totmet144 -378208 -378208
## totmet1440 -195726 -195726
## totmet1520 -454076 -454076
## totmet1560 NA NA
## totmet160 -293111 -293111
## totmet1600 -306108 -306108
## totmet1624 -328516 -328516
## totmet1680 -284988 -284988
## totmet1760 -255303 -255303
## totmet180 -276558 -276558
## totmet1800 -790268 -790268
## totmet1860 -194382 -194382
## totmet1880 -340936 -340936
## totmet1920 -272286 -272286
## totmet200 -191993 -191993
## totmet2000 -387716 -387716
## totmet2080 -536643 -536643
## totmet2100 -650137 -650137
## totmet2160 -431239 -431239
## totmet220 299103 299103
## totmet2220 -302350 -302350
## totmet2240 -192434 -192434
## totmet2320 294211 294211
## totmet240 -185690 -185690
## totmet2400 -275196 -275196
## totmet2480 -156127 -156127
## totmet2520 -108259 -108259
## totmet2560 -124090 -124090
## totmet260 -1503831 -1503831
## totmet2640 -509282 -509282
## totmet2680 -356455 -356455
## totmet2740 -244366 -244366
## totmet2760 NA NA
## totmet280 -354332 -354332
## totmet288 -264426 -264426
## totmet2880 -577707 -577707
## totmet2940 -314948 -314948
## totmet300 72317 72317
## totmet3000 -690785 -690785
## totmet3120 -474378 -474378
## totmet3180 -256483 -256483
## totmet320 6879 6879
## totmet3240 -1315022 -1315022
## totmet3520 -284167 -284167
## totmet360 -195397 -195397
## totmet3600 -497367 -497367
## totmet3840 -414480 -414480
## totmet40 -587915 -587915
## totmet400 -249447 -249447
## totmet4000 4195 4195
## totmet4080 -12882 -12882
## totmet420 -326681 -326681
## totmet4200 -231074 -231074
## totmet4320 -926527 -926527
## totmet440 -142720 -142720
## totmet4480 -441726 -441726
## totmet4560 -519780 -519780
## totmet480 -276974 -276974
## totmet4800 -110524 -110524
## totmet520 -278952 -278952
## totmet540 -111756 -111756
## totmet5520 -329101 -329101
## totmet560 -227952 -227952
## totmet5760 -336396 -336396
## totmet580 -356107 -356107
## totmet5840 295801 295801
## totmet60 -306333 -306333
## totmet600 -246334 -246334
## totmet608 -1490189 -1490189
## totmet6120 -195934 -195934
## totmet6360 -607405 -607405
## totmet640 -1039216 -1039216
## totmet720 -248717 -248717
## totmet740 -348114 -348114
## totmet7440 -277220 -277220
## totmet780 -222309 -222309
## totmet7800 -336414 -336414
## totmet80 -287364 -287364
## totmet800 -370509 -370509
## totmet836 -216387 -216387
## totmet840 -327859 -327859
## totmet880 -356188 -356188
## totmet900 11370 11370
## totmet960 -388054 -388054
## totmetNA -273315 -273315
## metcat1 NA NA
## metcat2 NA NA
## metcatNA NA NA
## DXXOFBMD0.49199999999999999 146705 146705
## DXXOFBMD0.53 481874 481874
## DXXOFBMD0.55100000000000005 161060 161060
## DXXOFBMD0.55900000000000005 -249810 -249810
## DXXOFBMD0.56299999999999994 244840 244840
## DXXOFBMD0.57799999999999996 84588 84588
## DXXOFBMD0.57999999999999996 15716 15716
## DXXOFBMD0.58799999999999997 107708 107708
## DXXOFBMD0.59199999999999997 NA NA
## DXXOFBMD0.59799999999999998 NA NA
## DXXOFBMD0.60199999999999998 545036 545036
## DXXOFBMD0.61399999999999999 -548470 -548470
## DXXOFBMD0.61499999999999999 177905 177905
## DXXOFBMD0.61599999999999999 -8251 -8251
## DXXOFBMD0.61699999999999999 116888 116888
## DXXOFBMD0.621 2998 2998
## DXXOFBMD0.624 58929 58929
## DXXOFBMD0.628 -131109 -131109
## DXXOFBMD0.629 203789 203789
## DXXOFBMD0.63 232336 232336
## DXXOFBMD0.63300000000000001 76550 76550
## DXXOFBMD0.63600000000000001 63461 63461
## DXXOFBMD0.63700000000000001 339105 339105
## DXXOFBMD0.64 522192 522192
## DXXOFBMD0.64400000000000002 279829 279829
## DXXOFBMD0.64700000000000002 721258 721258
## DXXOFBMD0.64900000000000002 244492 244492
## DXXOFBMD0.65 224356 224356
## DXXOFBMD0.65300000000000002 155564 155564
## DXXOFBMD0.65400000000000003 168017 168017
## DXXOFBMD0.65800000000000003 287303 287303
## DXXOFBMD0.66100000000000003 421127 421127
## DXXOFBMD0.66400000000000003 299420 299420
## DXXOFBMD0.66600000000000004 86541 86541
## DXXOFBMD0.66800000000000004 386658 386658
## DXXOFBMD0.67 183478 183478
## DXXOFBMD0.67500000000000004 152239 152239
## DXXOFBMD0.67800000000000005 -6266 -6266
## DXXOFBMD0.67900000000000005 428144 428144
## DXXOFBMD0.68 -17849 -17849
## DXXOFBMD0.68100000000000005 -31338 -31338
## DXXOFBMD0.68400000000000005 238331 238331
## DXXOFBMD0.68500000000000005 287205 287205
## DXXOFBMD0.68799999999999994 -90489 -90489
## DXXOFBMD0.68899999999999995 337035 337035
## DXXOFBMD0.69199999999999995 435674 435674
## DXXOFBMD0.69299999999999995 NA NA
## DXXOFBMD0.69499999999999995 403645 403645
## DXXOFBMD0.7 76324 76324
## DXXOFBMD0.70099999999999996 146057 146057
## DXXOFBMD0.70199999999999996 -206968 -206968
## DXXOFBMD0.70299999999999996 184957 184957
## DXXOFBMD0.70399999999999996 171196 171196
## DXXOFBMD0.70499999999999996 515449 515449
## DXXOFBMD0.70699999999999996 -32721 -32721
## DXXOFBMD0.70899999999999996 559421 559421
## DXXOFBMD0.71 139395 139395
## DXXOFBMD0.71199999999999997 212577 212577
## DXXOFBMD0.71299999999999997 388801 388801
## DXXOFBMD0.71399999999999997 161137 161137
## DXXOFBMD0.71599999999999997 244788 244788
## DXXOFBMD0.71699999999999997 404758 404758
## DXXOFBMD0.71799999999999997 97634 97634
## DXXOFBMD0.72 72666 72666
## DXXOFBMD0.72099999999999997 148295 148295
## DXXOFBMD0.72499999999999998 208778 208778
## DXXOFBMD0.72599999999999998 NA NA
## DXXOFBMD0.72699999999999998 -293553 -293553
## DXXOFBMD0.72799999999999998 61314 61314
## DXXOFBMD0.72899999999999998 151011 151011
## DXXOFBMD0.73 136416 136416
## DXXOFBMD0.73199999999999998 1059777 1059777
## DXXOFBMD0.73299999999999998 187413 187413
## DXXOFBMD0.73499999999999999 33981 33981
## DXXOFBMD0.73799999999999999 169444 169444
## DXXOFBMD0.74 7393 7393
## DXXOFBMD0.74099999999999999 61266 61266
## DXXOFBMD0.74299999999999999 181692 181692
## DXXOFBMD0.745 279745 279745
## DXXOFBMD0.749 39183 39183
## DXXOFBMD0.75 NA NA
## DXXOFBMD0.752 146620 146620
## DXXOFBMD0.753 -146781 -146781
## DXXOFBMD0.75600000000000001 -108823 -108823
## DXXOFBMD0.75800000000000001 -50529 -50529
## DXXOFBMD0.76 292567 292567
## DXXOFBMD0.76100000000000001 158074 158074
## DXXOFBMD0.76200000000000001 217521 217521
## DXXOFBMD0.76300000000000001 245358 245358
## DXXOFBMD0.76400000000000001 NA NA
## DXXOFBMD0.76500000000000001 61977 61977
## DXXOFBMD0.76700000000000002 20062 20062
## DXXOFBMD0.76800000000000002 102985 102985
## DXXOFBMD0.77 -88275 -88275
## DXXOFBMD0.77400000000000002 760904 760904
## DXXOFBMD0.77500000000000002 835546 835546
## DXXOFBMD0.77600000000000002 8478 8478
## DXXOFBMD0.77700000000000002 690 690
## DXXOFBMD0.77800000000000002 102498 102498
## DXXOFBMD0.78 501079 501079
## DXXOFBMD0.78100000000000003 140333 140333
## DXXOFBMD0.78200000000000003 235769 235769
## DXXOFBMD0.78300000000000003 NA NA
## DXXOFBMD0.78400000000000003 101186 101186
## DXXOFBMD0.78600000000000003 45836 45836
## DXXOFBMD0.78700000000000003 222106 222106
## DXXOFBMD0.78800000000000003 319841 319841
## DXXOFBMD0.78900000000000003 153360 153360
## DXXOFBMD0.79 -71082 -71082
## DXXOFBMD0.79100000000000004 -109832 -109832
## DXXOFBMD0.79200000000000004 95783 95783
## DXXOFBMD0.79300000000000004 100378 100378
## DXXOFBMD0.79700000000000004 431100 431100
## DXXOFBMD0.79800000000000004 133504 133504
## DXXOFBMD0.79900000000000004 271395 271395
## DXXOFBMD0.8 164298 164298
## DXXOFBMD0.80100000000000005 NA NA
## DXXOFBMD0.80200000000000005 176649 176649
## DXXOFBMD0.80300000000000005 153293 153293
## DXXOFBMD0.80400000000000005 -321416 -321416
## DXXOFBMD0.80500000000000005 -49702 -49702
## DXXOFBMD0.80600000000000005 72929 72929
## DXXOFBMD0.80700000000000005 140387 140387
## DXXOFBMD0.80800000000000005 -35302 -35302
## DXXOFBMD0.80900000000000005 -14439 -14439
## DXXOFBMD0.81 299497 299497
## DXXOFBMD0.81100000000000005 72181 72181
## DXXOFBMD0.81200000000000006 210247 210247
## DXXOFBMD0.81399999999999995 -372920 -372920
## DXXOFBMD0.81499999999999995 199524 199524
## DXXOFBMD0.81599999999999995 475490 475490
## DXXOFBMD0.81799999999999995 -150002 -150002
## DXXOFBMD0.81899999999999995 -71820 -71820
## DXXOFBMD0.82 27662 27662
## DXXOFBMD0.82099999999999995 161751 161751
## DXXOFBMD0.82199999999999995 269723 269723
## DXXOFBMD0.82299999999999995 -180931 -180931
## DXXOFBMD0.82399999999999995 142417 142417
## DXXOFBMD0.82699999999999996 127060 127060
## DXXOFBMD0.82799999999999996 -131756 -131756
## DXXOFBMD0.83 -75543 -75543
## DXXOFBMD0.83099999999999996 18566 18566
## DXXOFBMD0.83299999999999996 86732 86732
## DXXOFBMD0.83699999999999997 -14624 -14624
## DXXOFBMD0.83799999999999997 37339 37339
## DXXOFBMD0.83899999999999997 1058906 1058906
## DXXOFBMD0.84 408374 408374
## DXXOFBMD0.84099999999999997 -68480 -68480
## DXXOFBMD0.84299999999999997 -399239 -399239
## DXXOFBMD0.84399999999999997 110524 110524
## DXXOFBMD0.84499999999999997 312453 312453
## DXXOFBMD0.84599999999999997 -84980 -84980
## DXXOFBMD0.84799999999999998 180185 180185
## DXXOFBMD0.84899999999999998 150228 150228
## DXXOFBMD0.85 -248831 -248831
## DXXOFBMD0.85099999999999998 124707 124707
## DXXOFBMD0.85199999999999998 456779 456779
## DXXOFBMD0.85299999999999998 -40248 -40248
## DXXOFBMD0.85399999999999998 -137147 -137147
## DXXOFBMD0.85499999999999998 45900 45900
## DXXOFBMD0.85599999999999998 431683 431683
## DXXOFBMD0.85699999999999998 -13762 -13762
## DXXOFBMD0.85799999999999998 158014 158014
## DXXOFBMD0.85899999999999999 173569 173569
## DXXOFBMD0.86099999999999999 -13871 -13871
## DXXOFBMD0.86199999999999999 -273981 -273981
## DXXOFBMD0.86299999999999999 77336 77336
## DXXOFBMD0.86399999999999999 147848 147848
## DXXOFBMD0.86499999999999999 1158054 1158054
## DXXOFBMD0.86599999999999999 114441 114441
## DXXOFBMD0.86699999999999999 -199281 -199281
## DXXOFBMD0.86799999999999999 38666 38666
## DXXOFBMD0.86899999999999999 -75397 -75397
## DXXOFBMD0.871 18708 18708
## DXXOFBMD0.872 309055 309055
## DXXOFBMD0.873 7754 7754
## DXXOFBMD0.874 133423 133423
## DXXOFBMD0.875 121564 121564
## DXXOFBMD0.876 161914 161914
## DXXOFBMD0.877 2892 2892
## DXXOFBMD0.878 365915 365915
## DXXOFBMD0.88 56902 56902
## DXXOFBMD0.88100000000000001 160624 160624
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## DSQTCALC525 NA NA
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## DSQTCALC530 NA NA
## DSQTCALC533 NA NA
## DSQTCALC543.29999999999995 NA NA
## DSQTCALC550 NA NA
## DSQTCALC555 NA NA
## DSQTCALC56 NA NA
## DSQTCALC560 NA NA
## DSQTCALC6.67 NA NA
## DSQTCALC600 NA NA
## DSQTCALC606.66 NA NA
## DSQTCALC615 NA NA
## DSQTCALC620 NA NA
## DSQTCALC630 NA NA
## DSQTCALC633.33000000000004 NA NA
## DSQTCALC634.66999999999996 NA NA
## DSQTCALC65 NA NA
## DSQTCALC66.66 NA NA
## DSQTCALC66.67 NA NA
## DSQTCALC666.67 NA NA
## DSQTCALC692.67 NA NA
## DSQTCALC7.33 NA NA
## DSQTCALC720 NA NA
## DSQTCALC73.33 NA NA
## DSQTCALC748 NA NA
## DSQTCALC75 NA NA
## DSQTCALC756.67 NA NA
## DSQTCALC761.5 NA NA
## DSQTCALC77 NA NA
## DSQTCALC8.33 NA NA
## DSQTCALC80 NA NA
## DSQTCALC800 NA NA
## DSQTCALC820 NA NA
## DSQTCALC83.33 NA NA
## DSQTCALC850 NA NA
## DSQTCALC86.67 NA NA
## DSQTCALC88 NA NA
## DSQTCALC9.33 NA NA
## DSQTCALC900 NA NA
## DSQTCALC913.33 NA NA
## DSQTCALC915 NA NA
## DSQTCALC93.33 NA NA
## DSQTCALC95.83 NA NA
## DSQTCALCNA NA NAState your hypotheses:
- H₀: β₁ = 0 — There is no linear association between dietary calcium intake and total femur bone mineral density in the population (the slope is zero).
- H₁: β₁ ≠ 0 — There is a linear association between dietary calcium intake and total femur bone mineral density in the population (the slope is not zero).
Report the test results:
The t-statistic for the slope is t = 4.131 on 2,127 degrees of freedom, with a corresponding p-value of < 0.001 . Because the p-value is far below the conventional α = 0.05 threshold, we reject H₀. This provides strong statistical evidence that dietary calcium intake has a positive linear association with total femur bone mineral density.
Interpret the 95% confidence interval for β₁:
The 95% confidence interval for the slope is (0.000016, 0.000045) g/cm² per mg/day. We are 95% confident that the true population slope average change in total femur BMD per 1 mg/day increase in dietary calcium falls between approximately 0.000016 and 0.000045 g/cm². Because this interval does not include zero, it confirms the statistically significant positive association observed in the hypothesis test.
Step 4 — Model Fit: R² and Residual Standard Error (10 points)
R² (coefficient of determination):
The R² for this model is 0.00796, meaning that dietary calcium intake explains less than 1% of the variance in total femur BMD. This is an extremely low value, indicating that the simple linear regression model fits the data poorly in terms of explanatory power. The vast majority of variation in BMD remains unexplained by calcium alone. This is not surprising given that BMD is influenced by a wide array of biological and behavioral factors — including age, sex, body mass index, physical activity, smoking status, vitamin D levels, genetics, and hormonal factors — none of which are captured in this single-predictor model. The low R² strongly suggests that a multiple regression approach including these additional predictors would be necessary to meaningfully explain variation in BMD.
Residual Standard Error (RSE):
The residual standard error is 0.1582 g/cm². Expressed in the units of the outcome variable, this means that the model’s predicted BMD values deviate from the observed values by an average of about 0.158 g/cm². since the total femur BMD in this sample ranges from 0.3 to 1.6 g/cm², a prediction error of 0.158 g/cm² is quite large compared to the scale of the outcome.
Part 3: Prediction (20 points)
bmd_pred <- na.omit(bmd_analytic[, c("DXXOFBMD", "calcium")])
bmd_pred <- bmd_analytic[, c("DXXOFBMD", "calcium")] %>%
mutate(
DXXOFBMD = as.numeric(DXXOFBMD),
calcium = as.numeric(calcium)
) %>%
na.omit()
model_clean <- lm(DXXOFBMD ~ calcium, data = bmd_pred)
# Create a new data frame with the target predictor value
new_data <- data.frame(calcium = 1000)
# 95% confidence interval for the mean response at calcium = 1000
predict(model_clean, newdata = new_data, interval = "confidence")## fit lwr upr
## 1 0.9299936 0.9229112 0.937076# 95% prediction interval for a new individual at calcium = 1000
predict(model_clean, newdata = new_data, interval = "prediction")## fit lwr upr
## 1 0.9299936 0.6195964 1.240391Written interpretation:
Predicted BMD at calcium = 1,000 mg/day: The model predicts a total femur bone mineral density of approximately 0.930 g/cm² for an individual consuming 1,000 mg/day of dietary calcium.
95% Confidence Interval: The 95% confidence interval for the mean BMD at calcium = 1,000 mg/day is (0.923, 0.937) g/cm². This interval quantifies our uncertainty about the average BMD for all individuals in the population who consume 1,000 mg/day; it does not describe variability between individuals.
95% Prediction Interval: The 95% prediction interval for a new individual with calcium = 1,000 mg/day is (0.620, 1.240) g/cm². This interval is substantially wider than the confidence interval because it must account for both the uncertainty in estimating the population mean and the natural individual-to-individual variability in BMD. The PI captures where a single new person’s BMD is likely to fall, making it far less precise than the CI for the mean.
Is 1,000 mg/day a meaningful prediction value? Yes — 1,000 mg/day is a clinically relevant and meaningful value to predict at. The median calcium intake in this analytic sample is approximately 781 mg/day and the mean is approximately 848 mg/day, so 1,000 mg/day falls within the observed range of the data (55–5,199 mg/day) and is close to widely recommended daily intake levels for adults. Predictions near the center of the data are more reliable because the standard error of prediction is smallest near the mean of the predictor, minimizing extrapolation risk.
Part 4: Reflection (15 points)
A. Statistical Insight | B. From ANOVA to Regression | C. R Programming Growth
The simple linear regression model reveals a statistically significant but practically small positive association between dietary calcium intake and total femur bone mineral density (β₁ ≈ 0.000031 g/cm² per mg/day, p < 0.001). In one sense, this is not surprising since calcium is a well-established nutrient for bone health, but the effect size is far smaller than might be expected, and R² < 0.01 tells us that dietary calcium, measured at a single point in time, is a very weak predictor of BMD when considered in isolation. The cross-sectional design of NHANES is a major limitation here: we observe calcium intake and BMD simultaneously, so we cannot infer that calcium causes higher BMD. Any apparent association could reflect reverse causality (e.g., people with low BMD may have been advised to increase calcium intake), residual confounding, or measurement error in dietary recall. Important confounders that drive BMD include age (bone density declines with age), sex (males generally have higher BMD), body mass index (weight-bearing promotes bone density), physical activity, smoking, and vitamin D status, several of which are available in this very dataset but excluded from the current one-predictor model. Without controlling for these variables, the estimated effect of calcium must be interpreted with extreme caution.
Homework 1 used one-way ANOVA to compare mean BMD across five ethnic groups — a categorical predictor with multiple levels. ANOVA answers the question “do group means differ?” and, with post-hoc tests, “which specific groups differ from each other?” Simple linear regression, by contrast, models BMD as a continuous, quantitative function of a continuous predictor. Regression gives us a specific estimated slope direction and magnitude of the change in BMD per unit increase in calcium along with a confidence interval for that slope and the ability to generate numerical predictions for any value of the predictor. ANOVA cannot do these things. On the other hand, when the predictor is truly categorical with no meaningful ordering, ANOVA (or its regression equivalent with dummy variables) is the more n interpretable approach. The two methods are actually part of the same general linear model framework; ANOVA is simply regression with categorical indicator predictors. When the research question involves a continuous predictor and we want to estimate effect size and make predictions, regression is the preferred tool.
From a programming perspective, the most challenging aspect of this assignment was ensuring that the predict() function was called correctly for both the confidence interval (for the mean response) and the prediction interval (for a new individual), and understanding why the two intervals differ structurally not just numerically. Working through the distinction between interval = “confidence” and interval = “prediction” required careful reading of the R documentation and reflection on what each interval actually estimates. After completing this homework, I feel more confident using lm(), summary.lm(), confint(), and predict() together as an integrated workflow for simple linear regression, and I have a clearer understanding of how to connect R output to statistical concepts like the standard error of prediction and residual degrees of freedom.
End of Homework 2