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. Dependent variable is: Gross Rsquared = 42.1%, R squared (adjusted) = 40.6% s = 46.33 with 120 - 4 = 116 degrees of freedom Variable Coef SE(Coef) t-ratio P-value Intercept - 22.4045 24.92 -0.90 0.3700 Budget 1.14106 0.12515 9.12 0.0000 Stars 23.1562 6.034 3.84 0.0002 Run Time -0.402693 0.2444 - 1.65 0.1017 a) What is the null hypothesis tested for the coefficient of Stars in this table? O A. Ho: BStars < 0 O B. Ho: BStars > 0 c. Ho: BStars = 0 OD. Ho: Bstars #0 b) What is the t-statistic corresponding to this test? 3.84 (Type an integer or a decimal. Do not round.) c) What is the P-value corresponding to this t-statistic? (Type an integer or a decimal. Do not round.)

Answer 1

P value is = 0.0002

Variable Intercept Budget Coef SE(Coeft - 22 4045 2492 114108 012515 23.1562 5 .034 -0.4026930 .2424 ratio -090 0.12 2.84 -165 P-value 0.3700 0.0000 0002 0.1017 Run Time