For a sample of 48 monthly observations the regression of the percentage return on an investment (y) against the percentage change in the consumer price index (x) was estimated. The sample regression line, obtained through least squares, is shown below The estimated standard deviation of the slope of the population regression line was 1.8. Test the null hypothesis that the slope of the population regression line is 0 against the alternative that the slope is positive. Use a = 0.01. y = -0.003 + 8.2x Find the t-statistic. %3D (Round to two decimal places as needed.) Find the exact p-value, using Excel. The p-value is (Round to two decimal places as needed.) (1) Họ. There is (2) evidence that the slope coefficient is greater than zero. (1) O Do not reject O Reject (2) O sufficient O insufficient

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ISBN:9781938168383
Author:Jay Abramson
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Chapter4: Linear Functions
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Problem 30PT: For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or...
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For a sample of 48 monthly observations the regression of the percentage return on an investment (y) against the percentage change in the consumer price index (x) was estimated. The sample regression line, obtained through least squares, is shown below.
The estimated standard deviation of the slope of the population regression line was 1.8. Test the null hypothesis that the slope of the population regression line is 0 against the alternative that the slope is positive. Use a = 0.01.
y = - 0.003 + 8.2x
Find the t-statistic.
%3D
(Round to two decimal places as needed.)
Find the exact p-value, using Excel.
The p-value is
(Round to two decimal places as needed.)
(1)
Hp. There is (2)
evidence that the slope coefficient is greater than zero.
(1) O Do not reject
O Reject
(2)
sufficient
O insufficient
Transcribed Image Text:For a sample of 48 monthly observations the regression of the percentage return on an investment (y) against the percentage change in the consumer price index (x) was estimated. The sample regression line, obtained through least squares, is shown below. The estimated standard deviation of the slope of the population regression line was 1.8. Test the null hypothesis that the slope of the population regression line is 0 against the alternative that the slope is positive. Use a = 0.01. y = - 0.003 + 8.2x Find the t-statistic. %3D (Round to two decimal places as needed.) Find the exact p-value, using Excel. The p-value is (Round to two decimal places as needed.) (1) Hp. There is (2) evidence that the slope coefficient is greater than zero. (1) O Do not reject O Reject (2) sufficient O insufficient
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