Show transcribed image text (g) In order to perform a hypothesis test for a linear relationship between brain volume cm3) and brain weight(g), we need four assumptions. They are . independence of all pairs of observations (xi, yi), (32, 92),… o linear relationship between x and y â— constant variance of the residuals for all values of x o normal distribution of the residuals for all values of x Identify which plot(s) (A-D) on page 5 are used to verify these assumptions. Note that some plots can be used more than once. In all cases, make sure you can explain why or why not the assumption is met. i. Linearity A. Choose the plot(s) from the list that can be used to check the linearity assumption B. Is this assumption met? Yes / No ii. Constant Variance A. Chooe the plot(s) from the list that can be used to check the constant variance assumption B. Is this assumption met? Yes / No iii. Normality A. Choose the plot (s) from the list that can be used to check the normality assumption B. Is this assumption met? Yes / No v. Independence A. Choose the plot(s) from the list that can be used to check the independence as- sumption (h) What is the 95% confidence interval for Î²? i. Report the degrees of freedom associated with this confidence interval i. What is the correct critical value (from Table D)? iii. Report the lower and upper bounds of your confidence interval. (i) Free Response.] Interpret the 95% confidence interval for within the context of the problem

(g) In order to perform a hypothesis test for a linear relationship between brain volume cm3) and brain weight(g), we need four assumptions. They are . independence of all pairs of observations (xi, yi), (32, 92),… o linear relationship between x and y â— constant variance of the residuals for all values of x o normal distribution of the residuals for all values of x Identify which plot(s) (A-D) on page 5 are used to verify these assumptions. Note that some plots can be used more than once. In all cases, make sure you can explain why or why not the assumption is met. i. Linearity A. Choose the plot(s) from the list that can be used to check the linearity assumption B. Is this assumption met? Yes / No ii. Constant Variance A. Chooe the plot(s) from the list that can be used to check the constant variance assumption B. Is this assumption met? Yes / No iii. Normality A. Choose the plot (s) from the list that can be used to check the normality assumption B. Is this assumption met? Yes / No v. Independence A. Choose the plot(s) from the list that can be used to check the independence as- sumption (h) What is the 95% confidence interval for Î²? i. Report the degrees of freedom associated with this confidence interval i. What is the correct critical value (from Table D)? iii. Report the lower and upper bounds of your confidence interval. (i) Free Response.] Interpret the 95% confidence interval for within the context of the problem