Calculate the followings: a) Fit a linear regression model and give the least square estimates for the constant and the slope.
b) Calculate the residuals for each of the 25 observations.
c) Make the ANOVA table and complete it by performing all the required calculations. What is the ANOVA table used for?
d) Find the coefficient of determination and the correlation coefficient. Explain its value.
e) Calculate the std for the error, the std for the slope and the std for the constant.
f) Test whether the slope and the constant are significant. State the needed hypotheses and explain your results.
g) Construct the confidence intervals for the slope and for the constant.
Question 3: For the data provided in the above question 2 do the following using a statistical software (either Minitab or R/Rstudio will do). Include the used code for R or describe the steps in details for Minitab
1. Generate a scatterplot of the data and comment on it.
2. Answer all the queries a)-g) of Question 2 and comment on the derived outputs.
3. Using the generated residuals, test the assumption behind the simple linear regression
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