Consider the linear regression model Y; = Bo + B, X; +U; for each i = 1,..., n with n = 1,000. X; represents the annual income of individual i (measured in $10,000) and Y; represents the home size (measured in square feet). We run an OLS regression and get: B1n = 43.2, SE(B1,n) = 10.2, Bo,n = 700, SE(Bo.n) = 7.4. Suppose that we want to test Ho : B1 = 55 against H1 : B1 < 55 at 1% significance level. Assuming that the sample size is large enough, which one of the following is true about the p-value of this test? O a. The p-value can be computed as (| 43.2–55 10.2 D, where is the standard Normal CDF O b. The p-value can be computed as $( 43.2–55 102), where & is the standard Normal CDF O c. None of the answers 43.2-55 O d. The p-value can be computed as 1 – ( ), where d is the standard Normal CDF Clear my choice
Consider the linear regression model Y; = Bo + B, X; +U; for each i = 1,..., n with n = 1,000. X; represents the annual income of individual i (measured in $10,000) and Y; represents the home size (measured in square feet). We run an OLS regression and get: B1n = 43.2, SE(B1,n) = 10.2, Bo,n = 700, SE(Bo.n) = 7.4. Suppose that we want to test Ho : B1 = 55 against H1 : B1 < 55 at 1% significance level. Assuming that the sample size is large enough, which one of the following is true about the p-value of this test? O a. The p-value can be computed as (| 43.2–55 10.2 D, where is the standard Normal CDF O b. The p-value can be computed as $( 43.2–55 102), where & is the standard Normal CDF O c. None of the answers 43.2-55 O d. The p-value can be computed as 1 – ( ), where d is the standard Normal CDF Clear my choice
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.CR: Chapter 1 Review
Problem 86CR
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Transcribed Image Text:Consider the linear regression model Y; = Bo + B, X; +U; for each i = 1,..., n with n = 1,000. X; represents the annual income of
individual i (measured in $10,000) and Y; represents the home size (measured in square feet). We run an OLS regression and get:
B1n = 43.2, SE(B1,n) = 10.2,
Bo,n = 700, SE(Bo.n) = 7.4.
Suppose that we want to test Ho : B1 = 55 against H1 : B1 < 55 at 1% significance level. Assuming that the sample size is large enough,
which one of the following is true about the p-value of this test?
O a. The p-value can be computed as (|
43.2–55
10.2
D, where is the standard Normal CDF
O b. The p-value can be computed as $( 43.2–55
102), where & is the standard Normal CDF
O c. None of the answers
43.2-55
O d. The p-value can be computed as 1 – ( ), where d is the standard Normal CDF
Clear my choice
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