. Question 12 V 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. 4? 54 34 35 23 11 39 24 49 50 20 35 1O 12 1D 9 9 6 6 3 11 13 3 9 Attendance Ru ns a. Find the correlation coefficient: 1" = C] Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: He: = 0 H1: a 0 The p-value is: C] (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. 0 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. 0 There is statistically significant evidence to conclude that a game with higher attendance will have fewer runs scored than a game with lower attendance. 0 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. 0 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. d. 7'2 = C] [Round to two decimal places] [Round to two decimal places} e. Interpret r2: 0 Given any fixed attendance, 5996 of all of those games will have the predicted number of runs scored. 0 5996 of all games will have the average number of runs scored. 0 There is a 59% chance that the regression line will be a good predictor for the runs scored based on the attendance of the game. 0 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 59%. he equation of the linear regression line' Is: = ;:|+ S3 (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 25,000 people. Runs scored = C] [Please round your answer to the nearest whole number.) h. Interpret the slope of the regression line in the context of the question: 0 The slope has no practical meaning since the total number runs scored in a game must be positive. 0 For every additional thousand people who attend a game, there tends to be an average increase of 0.19 runs scored. 0 As x goes up, y goes up. i. Interpret the y-intercept in the context of the question: 0 If the attendance of a baseball game is It], then 2 runs will be scored. 0 The y-intercept has no practical meaning for this study. 0 The best prediction for a game with D attendance is that there will be 2 runs scored. 0 The average runs scored is predicted to be 2