Linear Regression

Adipose Tissue Value

Implementation

data <- read.csv("C:/Users/RISHI RAHUL/Desktop/Dataset/3 Data Sets/2 Simple Linear Regression/wc-at.csv")
plot(data)

summary(data)
##      Waist             AT        
##  Min.   : 63.5   Min.   : 11.44  
##  1st Qu.: 80.0   1st Qu.: 50.88  
##  Median : 90.8   Median : 96.54  
##  Mean   : 91.9   Mean   :101.89  
##  3rd Qu.:104.0   3rd Qu.:137.00  
##  Max.   :121.0   Max.   :253.00
boxplot(data)

hist(data$Waist)

hist(data$AT)

linear <- lm(data$AT ~ data$Waist, data = data)
summary(linear)
## 
## Call:
## lm(formula = data$AT ~ data$Waist, data = data)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -107.288  -19.143   -2.939   16.376   90.342 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -215.9815    21.7963  -9.909   <2e-16 ***
## data$Waist     3.4589     0.2347  14.740   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 33.06 on 107 degrees of freedom
## Multiple R-squared:   0.67,  Adjusted R-squared:  0.667 
## F-statistic: 217.3 on 1 and 107 DF,  p-value: < 2.2e-16