2. The following give the body mass index (BMI) (35 X ) and systolic blood pressure (as Y) of 8 randomly chosen men who do not take any blood pressure medication. BMI Systolic Blood Prassuro 20.3 1 16 22.0 1 10 26.4 131 28.2 136 31.0 144 32.6 138 17.6 122 19,4 1 15 Consider a linear regression: Yr 2 150423137: + 6h E.- N N(0,02). (a) Estimate (g, ,31) using the least square method, with the estimation standard error. (b) Plot the date (scatter plot) with the estimated regression line. (c) Give a 95% condence interval for estimating the mean systolic blood pressure among the men with BMI=26l (d) Give a prediction interval that, with 95 percent confidence, will include the systolic blood pressure of a man who does not take blood pressure medication and whose BMI is 26.0. (e) It is recommended to keep systolic blood pressure under 120. What would you recommend a general guideline based on BMI