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-_. ....__.._...__'. w . 1" u ..., r _, __ __ , ._ _w;_-.-..._: iiT igi 7 _,_,.___...;,_..__:. What is the relationship between the attendance at a major league ball game and the total numberhof runs scored? Attendance figures (in thousands) and the runs scored for 12 randomly selected games are 5 own below. 14 E _--W- mmnmnnummumnn a. Find the correlation coefficient: r = :] Round to 2 decimal places. b. The null and alternative hypotheses for correlatiOn are: ' Ho: = 0 H11 3* 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. I 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 15 useful. 0 There is statisticallysignificant evidence to conclude that a game with higher attendance will have fewer runs scored than a game with lower attendance. 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 a higher attendance will have more runs scored than a game with lower attendance. (1- 7'2 = S (Round to two decimal places) (Round to two decimal places). ' e. Interpret 1'2 : 0 Given any fixed attendance. 58% of all of those games will have the predicted number of runs scored. 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 58%. O 5896 of all games will have the average number of runs scored. 0 There is a 58% chance that the regression line will be a good predictor for the runs scored based on the attendance of the game. f. The equation of the linear regression line is: g = E + :2 (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 22,000 people. Runs scored = (Please round your answer to the nearest whole number.)