Compute the t statistic value for the hypothesis the slope is equal to 1.0    Round to two decimal places (e.g., 1.22) Hint: the output shows the standard error for the slope estimate in the slope row and the t value that is shown is a test of Ho: b = 0

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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Compute the t statistic value for the hypothesis the slope is equal to 1.0    Round to two decimal places (e.g., 1.22) Hint: the output shows the standard error for the slope estimate in the slope row and the t value that is shown is a test of Ho: b = 0   

Suppose a larger sample of individuals was used to estimate
the same least squares relationship (Y; 12 year old height, X: 11
year old height) and statistical software produced the results
below
Coefficients:
Intercept
X Slope
Estimate
16.80614
0.74703
Std. Error
2.36919
0.03831
t value
6.88
19.50
Pr(>
V
V
Residual standard error: 0.5602 on 98 degrees of freedc
R-squared: 0.7951,
Adjusted R-squared: 0.793
Transcribed Image Text:Suppose a larger sample of individuals was used to estimate the same least squares relationship (Y; 12 year old height, X: 11 year old height) and statistical software produced the results below Coefficients: Intercept X Slope Estimate 16.80614 0.74703 Std. Error 2.36919 0.03831 t value 6.88 19.50 Pr(> V V Residual standard error: 0.5602 on 98 degrees of freedc R-squared: 0.7951, Adjusted R-squared: 0.793
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