A company trains its employees with instructional videos and claims that the amount of time, in hours, spent training is linearly related to an increase in productivity. The company selected a random sample of five employees to test its claim. The data were used to create the computer output for a least-squares linear regression, shown in the table. Variable DF Estimate SE Intercept 1 3.6 1.1489 Hours 1 0.8 0.3464 Which of the following is the correct test statistic and number of degrees of freedom?     t=2.31 with 4 degrees of freedom A t=2.31 with 3 degrees of freedom B t=2.31 with 5 degrees of freedom C t=3.13 with 1 degree of freedom D t=3.13 with 3 degrees of freedom E

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 company trains its employees with instructional videos and claims that the amount of time, in hours, spent training is linearly related to an increase in productivity. The company selected a random sample of five employees to test its claim. The data were used to create the computer output for a least-squares linear regression, shown in the table.

Variable DF Estimate SE
Intercept 1 3.6 1.1489
Hours 1 0.8 0.3464

Which of the following is the correct test statistic and number of degrees of freedom?

 
 
  • t=2.31 with 4 degrees of freedom

    A
  • t=2.31 with 3 degrees of freedom

    B
  • t=2.31 with 5 degrees of freedom

    C
  • t=3.13 with 1 degree of freedom

    D
  • t=3.13 with 3 degrees of freedom

    E

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