researcher in district Wwants to study the monthly electricity consumption of households (E, measured in kilowatt hours) in the district. For his study, he selects a random sample of 100 households from the district and estimates the following regression function: Ê= 102.5+2.57N-0.0052N², (2.4558) (0.5455) (0.0061) where N denotes the number of members in the household and standard errors appear in parentheses. The researcher wants to test the hypothesis that the relationship between number of members in the house and the electricity consumption by households is linear, against the alternative that it is nonlinear. Suppose 2 denotes the population slope coefficient on the regressor N. The researcher conducts the test Ho: ₂ 0 vs. H₁: ₂ *0. The test statistic associated with the test the researcher wants to conduct is (Round your answer to two decimal places. Enter a minus sign if your answer is negative.) At the 5% significance level, the researcher will (1). members in the house and the electricity consumption by households is linear. (1) O reject O fail to reject the hypothesis that the relationship between number of

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An independent researcher in district Wwants to study the monthly electricity consumption of households (E, measured in
kilowatt hours) in the district. For his study, he selects a random sample of 100 households from the district and estimates
the following regression function:
Ê= 102.5+2.57N-0.0052N²,
(2.4558) (0.5455) (0.0061)
where N denotes the number of members in the household and standard errors appear in parentheses.
The researcher wants to test the hypothesis that the relationship between number of members in the house and the
electricity consumption by households is linear, against the alternative that it is nonlinear.
Suppose 2 denotes the population slope coefficient on the regressor N. The researcher conducts the test
Ho: P₂ = 0 vs. H₁: ₂ *0.
The test statistic associated with the test the researcher wants to conduct is
(Round your answer to two decimal places. Enter a minus sign if your answer is negative.)
At the 5% significance level, the researcher will (1).
members in the house and the electricity consumption by households is linear.
(1) O reject
O fail to reject
the hypothesis that the relationship between number of
Transcribed Image Text:An independent researcher in district Wwants to study the monthly electricity consumption of households (E, measured in kilowatt hours) in the district. For his study, he selects a random sample of 100 households from the district and estimates the following regression function: Ê= 102.5+2.57N-0.0052N², (2.4558) (0.5455) (0.0061) where N denotes the number of members in the household and standard errors appear in parentheses. The researcher wants to test the hypothesis that the relationship between number of members in the house and the electricity consumption by households is linear, against the alternative that it is nonlinear. Suppose 2 denotes the population slope coefficient on the regressor N. The researcher conducts the test Ho: P₂ = 0 vs. H₁: ₂ *0. The test statistic associated with the test the researcher wants to conduct is (Round your answer to two decimal places. Enter a minus sign if your answer is negative.) At the 5% significance level, the researcher will (1). members in the house and the electricity consumption by households is linear. (1) O reject O fail to reject the hypothesis that the relationship between number of
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