What is the relationship between the attendance at a major league ball game and the total number of runsScored? Attendance figures (in thousands) and the runs scored for 12 randomly selected games are shownbelow.Attendance215451436059185235231812Runs9.56.81a. Find the correlation coefficient: r =Round to 2 decimal places.b. The null and alternative hypotheses for correlation are:Ho: ?v = 0H1: ?v # 0The p-value is:(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 contextof the study.O There is statistically significant evidenceattendance of baseball games and the runs scored. Thus, the regression line is useful.conclude that there is a correlation between theO There is statistically significant evidence to conclude that a game with a higher attendancewill have more runs scored than a game with lower attendance.O There is statistically significant evidence to conclude that a game with higher attendance willhave fewer runs scored than a game with lower attendance.O There is statistically insignificant evidence to conclude that there is a correlation between theattendance of baseball games and the runs scored. Thus, the use of the regression line is notappropriate.d. r2 =(Round to two decimal places) (Round to two decimal places)e. Interpret r2 :O 37% of all games will have the average number of runs scored.O There is a 37% chance that the regression line will be a good predictor for the runs scoredbased on the attendance of the game.O Given any fixed attendance, 37% of all of those games will have the predicted number of runsscored. appropiate.d. =(Round to two decimal places) (Round to two decimal places)e. Interpret r :O 37% of all games will have the average number of runs scored.O There is a 37% chance that the regression line will be a good predictor for the runs scoredbased on the attendance of the game.O Given any fixed attendance, 37% of all of those games will have the predicted number of runsScored.O There is a large variation in the runs scored in baseball games, but if you only look at gameswith a fixed attendance, this variation on average is reduced by 37%.f. The equation of the linear regression line is:=a (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 31,000 people.Runs scored =(Please round your answer to the nearest whole number.)h. Interpret the slope of the regression line in the context of the question:O For every additional thousand people who attend a game, there tends to be an averageincrease of 0.08 runs scored.O The slope has no practical meaning since the total number runs scored in a game must bepositive.O As x goes up, y goes up.i. Interpret the y-intercept in the context of the question:O The average runs scored is predicted to be 3.O The best prediction for a game with 0 attendance is that there will be 3 runs scored.O The y-intercept has no practical meaning for this study.O If the attendance of a baseball game is 0, then 3 runs will be scored.

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a. Find the correlation coefficient: ↑ = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ?v = 0 H1: ? 0 The p-value is: (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. O 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. O 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 significant evidence to conclude that a game with higher attendance will have fewer 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.

a. Find the correlation coefficient: ↑ = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ?v = 0 H1: ? 0 The p-value is: (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. O 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. O 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 significant evidence to conclude that a game with higher attendance will have fewer 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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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