a) b) For 39 nations, the estimated regression relationship between Y = internet use (%) and X = gross domestic product (GDP, in thousands of dollars per capita) is Y =361+1.55X. i. If the standard deviation of Y is 5% and the standard deviation of X is 3 thousand dollars, what is the correlation between internet use and GDP? ii. Ireland had a GDP of 32.4 thousand dollars and internet use of 23.3%. Find its predicted internet use based on the regression equation. iil. Find the residual for Ireland and interpret. In a study of 400 type 2 diabetic patients, an investigator used a regression model to study the association between systolic blood pressure (the response variable) and blood sugar (the predictor). The estimated slope of the line was 2.5, with standard error 0.5. Does this study provide statistically significant evidence of a positive association? Use a = 0.05 and justify your