Question

What can predict how much a motion picture will​ make? Data on a number of recent releases that includes the Gross​ ($M), the Budget​ ($M), the Run Time​ (minutes), and the average number of Stars awarded by reviewers was collected and a regression model was created to predict Gross. Use the computer output given below to complete parts a through d.

Source Regression Residual Sum of Squares df 229196 3 250000 107 Mean Square 76398.7 2336.45 F-ratio 32.70 a) Using the values from the table, show how the value of R² could be computed. Don't try to do the calculation, just show what is computed. Choose the correct answer below and fill in the answer boxes within your selection. SSR O A. R2= SSE OB. R? SSR SST O C. R? SSE SSR OD. R SSE SST (Type integers or decimals. Do not round.) b) What is the F-statistic value for the regression? (Type an integer or a decimal. Do not round.)

c) What null hypothesis can you test with​ it?

A.

Upper H 0H0​:

beta Subscript BudgetβBudgetequals=beta Subscript Run TimeβRun Timeequals=beta Subscript StarsβStarsequals=1

B.

Upper H 0H0​:

beta Subscript BudgetβBudgetequals=beta Subscript Run TimeβRun Timeequals=beta Subscript StarsβStarsequals=0

C.

Upper H 0H0​:beta Subscript BudgetβBudgetless than<beta Subscript Run TimeβRun Timeless than<beta Subscript StarsβStars

D.

Upper H 0H0​:

beta Subscript BudgetβBudgetnot equals≠beta Subscript Run TimeβRun Timenot equals≠beta Subscript StarsβStars

​d) Using

alphaαequals=​0.05,

would you reject that null​ hypothesis?

The​ P-value is ____

​(Round to three decimal places as​ needed.)

Should the null hypothesis be​ rejected?

A.​Yes, since the​ P-value is less than alphaαequals=​0.05, reject the null hypothesis.

B.​Yes, since the​ P-value is greater than alphaαequals=​0.05, fail to reject the null hypothesis.

C.​No, since the​ P-value is less than alphaαequals=​0.05, reject the null hypothesis.

D.​No, since the​ P-value is greater than alphaαequals=​0.05, fail to reject the null hypothesis.

Answer 1

SSR a) Answer: B) R2 = = 229196 479196 SST b) F-statistic = 32.70 c) The null hypothesis is: Answer: B) d) The p-value is 0.000 A)Yes, since the P-value is less than a=0.05, reject the null hypothesis.