A researcher is interested in finding out the factors which determined the yearly spending on family 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 (X2). She collects C from 152 families and estimates the following regression: Y= 120.45 + 1.12X, +2.12X, + 1.98X3- Suppose B4. ß2, B3, denote the population slope coefficients of X,, X2, and X3, respectively The researcher wants to check if neither X, nor X, have a significant effect on Y or at least one of them has a significant effect, keeping X, constant. She calculates the value of the F-statistic for the test with the two restrictions (Ho: B = 0, B, =0 vs. H,: B, #0 and/or B, #0) to be 3.00. The p-value for the test will be (Round your answer to two decimal places.) v the null hypothesis. At the 10% significance level, we will reject fail to reject Enter your answer in the answer box.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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A researcher is interested in finding out the factors which determined the yearly spending on family 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 collects data
from 152 families and estimates the following regression:
Y = 120.45 + 1.12X, + 2.12X2 + 1.98X3
Suppose B1. B2, B3, denote the population slope coefficients of X, X2, and X3, respectively
The researcher wants to check if neither X, nor X, have a significant effect on Y or at least one of them has a significant effect, keeping X3 constant. She calculates the
value of the F-statistic for the test with the two restrictions (Ho: B, = 0, B2 = 0 vs. H B, 0 and/or Bz 0) to be 3.00.
The p-value for the test will be
(Round your answer to two decimal places.)
At the 10% significance level, we will
the null hypothesis.
reject
fail to reject
Enter your answer in the answer box.
W
DELL
Transcribed Image Text:A researcher is interested in finding out the factors which determined the yearly spending on family 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 collects data from 152 families and estimates the following regression: Y = 120.45 + 1.12X, + 2.12X2 + 1.98X3 Suppose B1. B2, B3, denote the population slope coefficients of X, X2, and X3, respectively The researcher wants to check if neither X, nor X, have a significant effect on Y or at least one of them has a significant effect, keeping X3 constant. She calculates the value of the F-statistic for the test with the two restrictions (Ho: B, = 0, B2 = 0 vs. H B, 0 and/or Bz 0) to be 3.00. The p-value for the test will be (Round your answer to two decimal places.) At the 10% significance level, we will the null hypothesis. reject fail to reject Enter your answer in the answer box. W DELL
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