1. (10 pts) You are an analyst at MLB.com who was asked to determine how the temperature during a home game inuences 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=u+lxi+5i where K is the attendance of each home game and X1- is the temperature at the start of each home game in degrees. Estinlate the above PRF using the sample provided. (a) Determine b0 and :51, and interpret them {mind the units of the variables}. (b) Determine the coefcient of determination (R2), and interpret it. (c) Using only your regression output, can you say there is a statistically signicant rela- tionship between temperature and attendance at baseball games? Explain your answer. (d) Predict the attendance at a baseball game on an 30 degree day. (DO NOT provide a condence interval around this point estimate). (e) Is there evidence that one additional degree in temperature results in less than ll] additional attendees at the 95% condence level? Provide the null and alternative hy- potheses, the p-value associated with this test, and your conclusion