Suppose we have sample data on (y,x) of size n. Consider regressing y on x and a constant using the least square method (OLS estimation). The estimated equation is y = 2.59 +5.19 x + e where e is the residual. The standard errors for the constant and the coefficient were 0.51 and 1.58 respectively. To test the null hypothesis of zero coefficient (for x) at a given significance level, we may use t-statistic. Compute the t-statistic for the coefficient. Make sure the answer is round up to the nearest hundredth. e.g. 3.015 --> 3.02
Suppose we have sample data on (y,x) of size n. Consider regressing y on x and a constant using the least square method (OLS estimation). The estimated equation is y = 2.59 +5.19 x + e where e is the residual. The standard errors for the constant and the coefficient were 0.51 and 1.58 respectively. To test the null hypothesis of zero coefficient (for x) at a given significance level, we may use t-statistic. Compute the t-statistic for the coefficient. Make sure the answer is round up to the nearest hundredth. e.g. 3.015 --> 3.02
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
![Suppose we have sample data on (y,x) of size n. Consider regressing y on x and a
constant using the least square method (OLS estimation). The estimated equation is
y = 2.59 +5.19 x + e
where e is the residual. The standard errors for the constant and the coefficient were
0.51 and 1.58 respectively.
To test the null hypothesis of zero coefficient (for x) at a given significance level, we
may use t-statistic. Compute the t-statistic for the coefficient.
Make sure the answer is round up to the nearest hundredth.
e.g. 3.015 --> 3.02](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F198ca5ad-5ed6-4a94-9a13-e268be52aa7b%2Ff1f70353-7ee7-4389-9ca0-0597f71200da%2Ffp1yle_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose we have sample data on (y,x) of size n. Consider regressing y on x and a
constant using the least square method (OLS estimation). The estimated equation is
y = 2.59 +5.19 x + e
where e is the residual. The standard errors for the constant and the coefficient were
0.51 and 1.58 respectively.
To test the null hypothesis of zero coefficient (for x) at a given significance level, we
may use t-statistic. Compute the t-statistic for the coefficient.
Make sure the answer is round up to the nearest hundredth.
e.g. 3.015 --> 3.02
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