Answer to Question #60868 in Statistics and Probability for Lindsay

Question

You decide to conduct your own investigation based on your team’s performance after their first 10 games of the season. The result of your assessment is found in the table below.

Game: 1 2 3 4 5 6 7 8 9 10
Shots (x): 25 38 43 32 36 23 30 45 46 37
Goals (y): 3 5 7 5 4 0 3 4 4 3

a. Find the linear equation of regression for the line of best fit.
b. Compute the correlation coefficient (r).
c. Estimate the number of shots that would be needed in order to score 8 goals.
d. If it is known that 43 shots have been taken by your team in a given game, predict how any goals have been scored.
e. Conduct a complete hypothesis test using the graphical and p-value method to determine if your theory regarding shooting and scoring is correct (thus proving the parents wrong). Your confidence level should be set at 95%.