Question

In: Statistics and Probability

A student was wondering whether spending a great deal of time on a test is worthwhile,...

  1. A student was wondering whether spending a great deal of time on a test is worthwhile, so he obtains results from a sample of 10 previous students and conduct a linear regression analysis. The results appear below.

Model Summary

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

1

.814a

.662

.620

7.38577

a. Predictors: (Constant), Time (min)

ANOVAa

Model

Sum of Squares

df

Mean Square

F

Sig.

1

Regression

854.624

1

854.624

15.667

.004b

Residual

436.397

8

54.550

Total

1291.021

9

a. Dependent Variable: Grade (%)

b. Predictors: (Constant), Time (min)

Coefficientsa

Model

Unstandardized Coefficients

Standardized Coefficients

T

Sig.

B

Std. Error

Beta

1

(Constant)

25.584

13.032

1.963

.085

Time (min)

.407

.103

.814

3.958

.004

a. Dependent Variable: Grade (%)

  1. Is there a significant linear association between time spent on the test and the grade? How do you know?

  1. What percentage of variation in grade is explained by its relationship with time spent on the test?

  1. If a student turned in her test after 100 minutes, predict her score.

A freshman who didn't take the course yet asks about the results from part a: “So, explain this to him / her. Does this mean that if a student wait and turn in the test at the last minute, he / she is  going to get a good grade?” Respond as a competent biostatistician, based on your results and your understanding of the conceptual basis of the analysis.

Solutions

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