Please show all your work on the following problems and carry your calculations to four decimals. The point value of each question is indicated in parentheses beside the question. BUSA 251 EXAM as paper submission The manager at Riverfront Center wanted to know if there was a relationship between the age of moviegoers and their spending on snacks at the concessions stand. She took a sample of 10 moviegoers and recorded the amount they spent on snacks and their age. See below the scatter plot of the data collected and the EXCEL output of a regression analysis. SUMMARY OUTPUT a. (2) Identify and interpret the coefficient of correlation (make sure to look at the scatterplot, too) b. (2) Identify and interpret the coefficient of determination c. Can you conclude that there is a negative association in the overall population between the age of moviegoers and amount they spend on snacks at the concession stand? (3) What are the null and alternate hypotheses? (Please clearly identify the variable used in the hypothesis test) (4) Draw the appropriate distribution with the scale, alpha level, CV and rejection region clearly identified. (2) State the decision rule (3)Calculate the test statistic (4) What is your conclusion and justification based on both the test statistic and p-value? (1) Your conclusion is subject to what type of error? (2) Determine the regression equation. (2) Interpret the meaning of the slope of the regression equation. (2) Calculate the expected dollar amount spent at the concession stand by a 16 year old. (Please show all your work) Please show all your work on the following problems and carry your calculations to four decimals. The point value of each question is indicated in parentheses beside the question. BUSA 251 EXAM as paper submission The manager at Riverfront Center wanted to know if there was a relationship between the age of moviegoers and their spending on snacks at the concessions stand. She took a sample of 10 moviegoers and recorded the amount they spent on snacks and their age. See below the scatter plot of the data collected and the EXCEL output of a regression analysis. SUMMARY OUTPUT a. (2) Identify and interpret the coefficient of correlation (make sure to look at the scatterplot, too) b. (2) Identify and interpret the coefficient of determination c. Can you conclude that there is a negative association in the overall population between the age of moviegoers and amount they spend on snacks at the concession stand? (3) What are the null and alternate hypotheses? (Please clearly identify the variable used in the hypothesis test) (4) Draw the appropriate distribution with the scale, alpha level, CV and rejection region clearly identified. (2) State the decision rule (3)Calculate the test statistic (4) What is your conclusion and justification based on both the test statistic and p-value? (1) Your conclusion is subject to what type of error? (2) Determine the regression equation. (2) Interpret the meaning of the slope of the regression equation. (2) Calculate the expected dollar amount spent at the concession stand by a 16 year old. (Please show all your work)