Hi, can someone please help me with these questions? Thank you!

8) Some studies have suggested that a nightly glass of wine may not only take the edge off a day but also improve health. Is wine good for your health? A study of nearly 1.3 million middle-aged British women examined wine consumption and the relative risk of breast cancer. The relative risk is the proportion of those in the study who drank a given amount of wine and who developed breast cancer divided by the proportion of nondrinkers in the study who developed breast cancer. For example, if 10% of the women in the study who drank 10 grams of wine developed breast cancer and 9% of nondrinkers in the study developed breast cancer, the relative risk of breast cancer for women drinking 10 grams of wine per day would be 10%/9% = 1.11. A relative risk greater than 1 indicates a greater proportion of drinkers in the study developed breast cancer than nondrinkers. Wine intake is the mean wine intake, in grams per day, of all women in the study who drank some wine but less than or equal to two drinks per week; who drank between three and six drinks per week; who drank between seven and 14 drinks per week; and who drank 15 or more drinks per week. Here are the data (for drinkers only).

Wine intake (grams per day) (x) 2.6 8.6 15.6 26.6

Relative risk (y) 1.11 1.19 1.26 1.33

8.1) Find the correlation between Wine intake and Relative risk. (Round your answer to three decimal places.)

8.2) Generate a linear regression output. What are the estimates of slope b and the intercept a of the population regression line? (Round your answers to four decimal places.)

8.3) Calculate the residuals for the four data points. Check that their sum is 0 (up to roundoff error). Use the residuals to estimate the standard deviation ? that measures variation in the responses (relative risk) about the means given by the population regression line. You have now estimated all three parameters. (Round your answer to four decimal places. Hint to check: the number should also appear in the regression summary.)

Q8.4 1 Point Software tells us that the standard error of the b estimate is SE; = 0.001112. Because there are only four observations, the observed slope b may not be a precise estimate of the population slope b. Give a 90% confidence interval for b. (Remember to use t distribution for finding the critical value with n-2 df. Round your answers to four decimal places.) Enter your answer here to Enter your answer here Save