Muti linear regression model problem
An investigator is studying the relationship between weight (in pounds) and height (in inches) using data from a sample of 126 high school students. A simple linear regression model is used to model the relationship between weight (Y) and height (X). Partial information from the SAS PROC REG output from fitting this model is provided bellow.
a) Please complete the ANOVA table and related results by using the SAS output from PROC MEANS which gives the sample means and the sample standard deviations for the two variables involved.
b) Obtain a 99% prediction interval for the weight of a 15 years-old student who has a height of 68 inches. Can we use our model to predict the weight of a 54 years-old teacher with a height of 68 inches? Why or why not?
c) Calculate the coefficient of correlation between weight and height. Are they positively or negative correlated?
d) How do you interpret that ? Is the result statistically significant at the 0.05 level?