Question 1) Thirty females over 40 years of age were selected to study the relationship between systolic blood pressure (SBP) measured in mm Hg and age measured in years. The data is given below and is also provided online as a .csv le (I) )- (I) l (y) (y) (a) Plot the data (using whatever software you wish). Does a linear relationship between y and I appear plausible? | (b) Write down the linear model relating blood pressure to age and all necessary distributional assumptions required for classical hypothesis testing before conducting a least squares regression analysis. (n_o. computations required) (c) Determine the least squares prediction equation relating systolic blood pressure to age. (d) Provide a hypothesis test to assess whether age is a good predictor of systolic blood pressure. (e) Compute a 95% condence interval on the mean pressure for individuals of 65 years of age. (f) What is the 95% condence interval for a]? (g) Provide the 95% prediction interval for a future value of systolic blood pressure at the agefor which the width of this interval would be ncn'mwes't. (h) Based on the data provided, comment on the usefulness of a 95% prediction interval fora female at 25 years of age. (1) Provide the residual plot. Any comments? ON [0