I need help with my HW, I already solved question 1

1. In a study investigating the relationship between noise exposure and hypertension. Thefollowing data are representative of those reported in the article. {20 points) 85‘89‘90 90‘90‘90‘94‘100‘100a) Draw a scatter diagram of )1 (blood pressure rise in millimeters of mercury) versus x{sound pressure level in decibels). Does a simple linear regression model seem reasonable in this situation? (5 points) b) Fit the simple linear regression model using least squares. Find an estimate of oz. (10points) c) Find the predicted mean rise in blood pressure level associated with a sound pressurelevel of 85 decibels. (5 points) 2. Consider the data above on 1/: blood pressure rise and x = sound pressure level. (30points)a) Test for significance of regression using a = 0.05. What is the P-value for this test? (‘1 0points)b) Estimate the standard errors of the stope and intercept. (10 points)c} Test Hg: Bu = CI versus H1: fig a! 0 using (1 = 0.05. Find the P—value for this test. (10points) 3. Using above data on y = blood pressure rise and x = sound pressure level. Find a 95%confidence interval on each of the following (20 points): a) B1 (5 points)b) 130(5 points)c) Mean blood pressure rise when the sound pressure level is 35 decibels (5 points) d) Find a 95% prediction interval on blood pressure rise when the sound pressure level is85 decibels. {5 points) 4. Using data on blood pressure rise y and sound pressure level x. (20 points)a} What proportion of total variability in blood pressure rise is accounted for by soundpressure level? (10 points)b} Plot residuals versus )7 and versus it. Comment on these plots. {10 points)