A rosearcher is interonted in finding out the factom which detemined the yearly spending on fanily outings last year (Y, measured in dollars) She compiles data on the number of members in a family...

Extracted text: A rosearcher is interonted in finding out the factom which detemined the yearly spending on fanily outings last year (Y, measured in dollars) She compiles data on the number of members in a family (X,), the annual income of the family (X,), and the number of times the family went out on an outing in the last year (X,) She collocts data from 152 families and estimates the following regression 9-230.76 + 1.54X, 1212X, + 1,98X, Suppose . . . denote the population slope coofficionts of X, X2, and Xg, respectivoly. The researcher wantn to check if neither X, nor X have a significant effect on Yor at least one of them has a signiticant effect, keeping X, constant She calculates the value of the F-statistic for the test with the two restrictions (H , =0, A, 0 va H 0 andfor , 0) to be 461. The p-value for the test will be (Round your answer to hwo decimal places.)