1. (10 pts) You are an analyst at MLB.com who was asked to determine how the temperature during a home game influences attendance. You select a sample of 50 observations of home- game attendance and the day's temperature from around the league, and attempt to estimate the following PRF Yi = Bot BIXitei where Y is the attendance of each home game and X; is the temperature at the start of each home game in degrees. Estimate the above PRF using the sample provided. (a) Determine bo and bi, and interpret them (mind the units of the variables). (b) Determine the coefficient of determination (R-), and interpret it. (c) Using only your regression output, can you say there is a statistically significant rela- tionship between temperature and attendance at baseball games? Explain your answer. (d) Predict the attendance at a baseball game on an 80 degree day. (DO NOT provide a confidence interval around this point estimate). (e) Is there evidence that one additional degree in temperature results in less than 100 additional attendees at the 95% confidence level? Provide the null and alternative hy- potheses, the p-value associated with this test, and your conclusion