What is the relationship between the attendance at a major league ball game and the total number of runs scored? Attendance figures (in thousands) and the runs scored for 12 randomly selected games are shown below. Attendance Runs 25 34 42 23 29 30 45 29 8 3 3 3 11 20 42 51 22 29 7 7 9 3 8 a. Find the correlation coefficient: b. The null and alternative hypotheses for correlation are: 0 He: ( H₁:20 The p-value is: Round to 2 decimal places. (Round to four decimal places) c. Use a level of significance of a 0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically significant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the regression line is useful. There is statistically significant evidence to conclude that a game with higher attendance will have fewer runs scored than a game with lower attendance. There is statistically significant evidence to conclude that a game with a higher attendance will have more runs scored than a game with lower attendance. O There is statistically insignificant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the use of the regression line is not appropriate. (Round to two decimal places) (Round to two decimal places) d. ²= e. Interpret ²: Ⓒ 49% of all games will have the average number of runs scored. O Given any fixed attendance, 49% of all of those games will have the predicted number of runs scored. There is a large variation in the runs scored in baseball games, but if you only look at games with a fixed attendance, this variation on average is reduced by 49%. f. The equation of the linear regression line is: O There is a 49% chance that the regression line will be a good predictor for the runs scored based on the attendance of the game. z (Please show your answers to two decimal places) g. Use the model to predict the runs scored at a game that has an attendance of 39,000 people. Runs scored = (Please round your answer to the nearest whole number.)