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 i sample of size N = 40, she found that y = 83.42 + 10.21x, R²=0.384 i (43.41) (2.09) N (y₁ - y)² = 500,000 and the sample mean of x is 19.605. Standard i i errors are reported in parentheses. Choose the wrong statement. and a. The estimated variance of the slope estimator is (2.09)². b. The standard deviation of the slope coefficient is 43.41. c. We would reject Ho: "the slope parameter is zero" at the 5% level. d. If a household has a weekly income of 1000 dollars, the food expenditure would be 83.42 10.21x10 with some uncertainty.
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 i sample of size N = 40, she found that y = 83.42 + 10.21x, R²=0.384 i (43.41) (2.09) N (y₁ - y)² = 500,000 and the sample mean of x is 19.605. Standard i i errors are reported in parentheses. Choose the wrong statement. and a. The estimated variance of the slope estimator is (2.09)². b. The standard deviation of the slope coefficient is 43.41. c. We would reject Ho: "the slope parameter is zero" at the 5% level. d. If a household has a weekly income of 1000 dollars, the food expenditure would be 83.42 10.21x10 with some uncertainty.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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
i
sample of size N = 40, she found that
y = 83.42 + 10.21x, R²=0.384
i
(43.41)
(2.09)
N
(y₁ - y)² = 500,000 and the sample mean of x is 19.605. Standard
i
i
errors are reported in parentheses. Choose the wrong statement.
and
a. The estimated variance of the slope estimator is (2.09)².
b. The standard deviation of the slope coefficient is 43.41.
c. We would reject Ho: "the slope parameter is zero" at the 5% level.
d.
If a household has a weekly income of 1000 dollars, the food expenditure would be
83.42 10.21x10 with some uncertainty.
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