Question

Information about an association between two interval-ratio variables is presented below. The association is between “the hours of screen time per day” (Y) and “years of schooling” (X). A measure of the overall association is given as well as the specific components of the OLS model. The OLS model estimates the effect of education (X) on the hours of screen time per day (Y).

Association Between x and y Estimate

r    -0.229

Rsqrd

OLS Model components Estimate

Constant (a) 5.575

Education Slope (b) -0.196

1. Using the Pearson correlation coefficient, briefly state the association between education (X) and hours of screen time (Y)

2. What is the value of the coefficient of determination? What does this value indicate about the association between variation in education (X) and variation in hours spent on a screen (Y)?

3. What is the equation for the OLS regression line

4. Interpret the intercept and slope of the OLS regression line

5. According to this OLS line, how many hours per day are spent on a screen for people with eight years of education? How many hours per day are spent on a screen for people with 16 years of education

Answer 1

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