A research interested in the study habits of college freshman computed a correla

Question

A research interested in the study habits of college freshman computed a correlation coefficient between the average number of hours a student spends watching television each day and his or her SAT verbal score. The correlation coefficient and the means and standard deviations are listed in th table below. Use this information to answer Problems 1-5. Daily Hours Spend Watching Television SAT erbal Mean Standard Deviation Correlation Coefficient 2.7 471.5 0.125 9.433 -0.943 1. What is the predicted daily hours spent watching television of a student who has an SAT verbal score of 600? a. 1.91 hours. b. 3.42 hours c. 0.58 hours d. 1.03 hours

Explanation / Answer

Here X is the dependent variable and Y is the independent variable.

Slope of regression line, m = r*(Sdep/Sindep) = -0.943*(0.125/9.433) = -0.0125

Intercept of regression line, c = = X' - mY' = 2.7 - (-0.0125)*471.5 = 8.593

So, the regression line is:

X = -0.0125Y + 8.593

(1)

At Y = 600, X = -0.0125*600 + 8.593 = 1.093 hours

(3)

At Y = 425, X = -0.0125*425 + 8.593 = 3.28 hours

(4)

Here Y is the dependent variable and X is the independent variable.

Slope of regression line, m = r*(Sdep/Sindep) = -0.943*(9.433/0.125) = -71.162

Intercept of regression line, c = = Y' - mX' = 471.5 - (-71.162)*2.7 = 663.637

So, the regression line is:

Y = -71.162X + 663.637

At X = 0.5, Y = -71.162*0.5 + 663.637 = 628.05

For answering (2) and (5) you need to supply mpre data

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