QUESTION 7 A researcher has estimated a linear model to study the effect of weekly household income x, (in $100) on weekly household expenditure on food y, (in $). Using a sample of size N = 40, she found that y=83.42 +10.21x, R²=0.384 (43.41) (2.09) and Σ(y₁ - y)² = 500,000 and the sample mean of x, is 19.605. Consider a hypothesis testing against Ho: the slope coefficient is 3.94. For this testing, the t-ratio is: Therefore we, at the 5% significance level, a. cannot do anything unless the significance level is 10%. b. do not reject Ho. C. 3 d. accept H₁. e. 4.89 f. 4 8.5 h.reject Ho. 1. 2 j. re-estimate the regression model using different data.
QUESTION 7 A researcher has estimated a linear model to study the effect of weekly household income x, (in $100) on weekly household expenditure on food y, (in $). Using a sample of size N = 40, she found that y=83.42 +10.21x, R²=0.384 (43.41) (2.09) and Σ(y₁ - y)² = 500,000 and the sample mean of x, is 19.605. Consider a hypothesis testing against Ho: the slope coefficient is 3.94. For this testing, the t-ratio is: Therefore we, at the 5% significance level, a. cannot do anything unless the significance level is 10%. b. do not reject Ho. C. 3 d. accept H₁. e. 4.89 f. 4 8.5 h.reject Ho. 1. 2 j. re-estimate the regression model using different data.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 22PFA
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Transcribed Image Text:QUESTION 7
A researcher has estimated a linear model to study the effect of weekly household income x, (in $100) on weekly household expenditure on food
y, (in $). Using a sample of size N = 40, she found that
= 83.42 + 10.21x, R²=0.384
(43.41)
(2.09)
and
N
(y₁ - y)² = 500,000 and the sample mean of x
i=1
i
Ho: the slope coefficient is 3.94.
✓ For this testing, the t-ratio is:
✓ Therefore we, at the 5% significance level,
19.605. Consider a hypothesis testing against
a. cannot do anything unless the significance level is 10%.
b. do not reject Ho-
C. 3
d. accept H1.
e. 4.89
f. 4
8-5
h.reject Ho.
i. 2
j. re-estimate the regression model using different data.
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