CW032525

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library(readxl)

## Warning: package 'readxl' was built under R version 4.4.3

AgeHeight <- read_excel("C:/Users/khalil2823/Downloads/AgeHeight.xlsx")
lmHeight=lm(height~age,data = AgeHeight)
summary(lmHeight)

## 
## Call:
## lm(formula = height ~ age, data = AgeHeight)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.27238 -0.24248 -0.02762  0.16014  0.47238 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  64.9283     0.5084  127.71  < 2e-16 ***
## age           0.6350     0.0214   29.66 4.43e-11 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.256 on 10 degrees of freedom
## Multiple R-squared:  0.9888, Adjusted R-squared:  0.9876 
## F-statistic:   880 on 1 and 10 DF,  p-value: 4.428e-11

lm(formula = height~age,data=AgeHeight)

## 
## Call:
## lm(formula = height ~ age, data = AgeHeight)
## 
## Coefficients:
## (Intercept)          age  
##      64.928        0.635

lmHeight2=lm(height~age+no_siblings,data=AgeHeight)
summary(lmHeight2)

## 
## Call:
## lm(formula = height ~ age + no_siblings, data = AgeHeight)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.26297 -0.22462 -0.02021  0.16102  0.49752 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 64.90554    0.53526 121.260 8.96e-16 ***
## age          0.63751    0.02340  27.249 5.85e-10 ***
## no_siblings -0.01772    0.04735  -0.374    0.717    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.2677 on 9 degrees of freedom
## Multiple R-squared:  0.9889, Adjusted R-squared:  0.9865 
## F-statistic: 402.2 on 2 and 9 DF,  p-value: 1.576e-09

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