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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 9 randomly selected games are shown below Attendance Runs 60 16 18 52 57 19 14 3 9 16 9 O H 0 The p value is 0 0289 9 a Find the correlation coefficient r 0 72 b The null and alternative hypotheses for correlation are Hor 0 30 43 53 11 12 10 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 a game with a higher attendance will have more runs scored than a game with lower attendance 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 There is statistically significant evidence to conclude that a game with higher attendance will have fewer runs scored than a game with lower attendance d The equation of the linear regression line is X 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 Please show your answers to two decimal places e Use the model to predict the runs scored at a game that has an attendance of 5 thousand people Runs scored Please round to two decimal places f Interpret the slope of the regression line in the context of the question As x goes up y goes up The slope has no practical meaning since the total number runs scored in a game must be positive For every additional thousand people who attend a game there tends to be an average increase of 0 15 runs scored

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