Question

To examine the appeal of a movie to different viewers, a survey was conducted among a random sample of 22 persons who saw the movie. Each person was asked to rate the movie on a scale of 1 to 5 stars, with 5 stars being the highest. The following data were collected:

DAgeGp DGender Movie Rating 3 3-5 4-5 3.5 | 3.5 3 4. 4-5 11 O 0 Age Group Over 25 25 or Under 25 or Under Over 25 Over 25 25 or Under 25 or Under Over 25 25 or Under Over 25 25 or Under 25 or Under 25 or Under 25 or Under Over 25 25 or Under Over 25 25 or Under Over 25 25 or Under Over 25 25 or Under Gender Male Female Female Female Male Female Female Male Male Female Female Male Female Male Male Female Male Female Female Male Male Male 1 0 4-5 4 0 3.5 0. 4 3 0 1 To 4.5 3.5 4 3 3-5 A regression model was fitted to the rating survey data and the results were obtained as follows: R2 = 0.5034 Rating = 3.7677 - 0.4907 DAgeGp + 0.5025 DGender (0.1638) (0.1899) (0.1867)

where DAgeGp = 1 for viewers over age 25 and 0 for viewers aged 25 or under, and DGender = 1 for female viewers and 0 otherwise.

How much can the age and gender factors account for the variation of ratings among the viewers?

Answer 1

Hore The Age R²=0.5634 = 50.34). amount of variation rating and gender is 50.34%. . due to