A random sample of 19 companies from the Forbes 500 list was selected, and the relationship between sales, in hundreds of thousands of dollars, and profits, in hundreds of thousands of dollars, was investigated by regression. The simple linear regression model displayed was used: profits = a + B (sales), where the deviations were assumed to be independent and Normally distributed, with mean 0 and standard deviation o. This model was fit to the data using the method of least squares. The results displayed were obtained from statistical software. 2 = 0.662 s = 466.2 Parameter Std. err. of Parameter estimate parameter est. -176.644 61.16 0.092498 0.0075 Suppose the researchers test the hypotheses Ho: B = 0, H: > 0. The P-value of the test is: less than 0.01.- O between 0.05 and 0.01. O between 0.10 and 0.05. O greater than 0.10. O O OO

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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A random sample of 19 companies from the Forbes 500 list was selected, and the relationship between sales, in hundreds of
thousands of dollars, and profits, in hundreds of thousands of dollars, was investigated by regression. The simple linear
regression model displayed was used: profits = a + B (sales), where the deviations were assumed to be independent and
Normally distributed, with mean 0 and standard deviation o. This model was fit to the data using the method of least
squares. The results displayed were obtained from statistical software.
2
= 0.662
S = 466.2
Parameter
Std. err. of
Parameter
estimate
parameter est.
-176.644
61.16
0.092498
0.0075
Suppose the researchers test the hypotheses Ho: P = 0, II, : A > 0. The P-value of the test is:
less than 0.01.
between 0.05 and 0.01.
O between 0.10 and 0.05.
greater than 0.10.
hp
Transcribed Image Text:A random sample of 19 companies from the Forbes 500 list was selected, and the relationship between sales, in hundreds of thousands of dollars, and profits, in hundreds of thousands of dollars, was investigated by regression. The simple linear regression model displayed was used: profits = a + B (sales), where the deviations were assumed to be independent and Normally distributed, with mean 0 and standard deviation o. This model was fit to the data using the method of least squares. The results displayed were obtained from statistical software. 2 = 0.662 S = 466.2 Parameter Std. err. of Parameter estimate parameter est. -176.644 61.16 0.092498 0.0075 Suppose the researchers test the hypotheses Ho: P = 0, II, : A > 0. The P-value of the test is: less than 0.01. between 0.05 and 0.01. O between 0.10 and 0.05. greater than 0.10. hp
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