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The following table gives information on ages and cholesterol levels for a random sample of 10 men Age 58 69 43 39 63 52 47 31 74 36 Cholesterol level 189 235 193 177 154 191 213 165 198 181 a. Taking age as an independent variable and cholesterol level as a dependent variable, compute SS... SS,,, and SS. b. Find the regression of cholesterol level on age. c. Briefly explain the meaning of the values of a and b calculated in part b. d. Calculate r and / and explain what they mean. e. Plot the scatter diagram and the regression line. f. Predict the cholesterol level of a 60-year-old man g. Compute the standard deviation of errors. h. Construct a 95% confidence interval for B. i. Test at the 5% significance level if # is positive. 1. Using a = 025, can you conclude that the linear correlation coefficient is positive