MA2612 HW2 1. (5pt) In order to study the relation of weight to blood sugar level, medical researchers considered a random sample of 12 patients. The observed Pearson correlation between weight and blood sugar level was 0.63. Perform a hypothesis test for the presence of correlation in the population at significance level 0.05. 2. (5pt) The researchers in the previous problem fit a simple linear regression model to the same data with blood sugar level as the response (Y) and weight as the regressor (X). (a) (2pt) If X = 165, Y = 106, Sx = 10 and Sy = 20, compute the least squares estimates of intercept and slope. (b) (3pt) Suppose the estimated standard error of B, is 0.4912, construct a 99% confidence interval for the slope