2. The following set of data represents the findings of a study on body mass and drunkenness on a randomly selected set of college students. Ten randomly selected students were measured for body mass in kilograms and each given 200 ml of Everclear (180 Proof). Each subject was then given the MBT Drunkenness Profile which rates subjects in 6 major categories and provides an overall score for drunkenness on a scale of 1 to 100. Results are as follows: BMASS 75 58 53 87 89 52 57 81 92 69 MBT 68 73 79 55 48 82 78 60 51 65 Excel output: SUMMARY OUTPUT Regression Statistics Multiple R -0.97403485 R Square 0.94874389 Adjusted R Square 0.94233688 Standard Error 2.91792395 Observations 10 Coefficients Standard Error t Stat P-value Intercept 119.997626 4.540362465 26.42909 4.51601E-09 BMASS -0.7587325 0.062350795 -12.1688 1.92728E-06 a) Determine the Least-Squares Regression line for this study and interpret the slope and intercept. b) Determine and interpret the coefficient of correlation. What percentage of the variation in drunkenness can be explained by body mass? d) Find point estimate for the predicted value of Drunkenness for a person with a body mass of 60 kg. e) Conduct a hypothesis test on the correlation coefficient at the 5% level of significance