Correlation Coefficient and Linear Regression Review

• True

• False, the correlation coefficient would be positive.

• False, the correlation coefficient would be zero.

Given data about the hours spent online and the test score, the mean for hours online was 4.5 with a standard deviation of 2.84. The mean for test score was 75.67 with a standard deviation of 13.92. The correlation was -0.83. Find the equation of the least squares regression line for predicting test score from hours spent online.

The ages (in years) and the number of hours of sleep in one night for 7 adults is shown. Find the correlation.

• -0.95

• 0.95

• 0.90

• -0.90

The ages (in years) and the number of hours of sleep in one night for 7 adults is shown. Find the coefficient of determination (r^2).

• -0.95

• 0.95

• 0.90

• -0.90

The ages (in years) and the number of hours of sleep in one night for 7 adults is shown. What is the equation of the least squares regression line?

The ages (in years) and the number of hours of sleep in one night for 7 adults is shown. What percent of the variability of hours of sleep is described by the linear model with age?

• 95%

• 90%

• 9%

• 10%

The ages (in years) and the number of hours of sleep in one night for 7 adults is shown. Given predict the hours of sleep for someone that is 40 years old.

• 6.85 hours

• -14.05 hours

• -6.85 hours

• 14.05 hours

The ages (in years) and the number of hours of sleep in one night for 7 adults is shown. Given

y = -0.09x + 10.45, predict the hours of sleep for someone that is 68 years old.

• 16.57 hours

• -4.33 hours

• -16.57 hours

• 4.33 hours

The ages (in years) and the number of hours of sleep in one night for 7 adults is shown. Given

y = -0.09x + 10.45, predict the hours of sleep for someone that is 87 years old.

• 2.62 hours

• -18.28 hours

• -2.62 hours

• 18.28 hours

The ages (in years) and the number of hours of sleep in one night for 7 adults is shown. Given y = -0.09x + 10.45, The actual hours of sleep for someone who is 62 is 6 hours. Calculate and interpret the residual.

• 13, The model predicted 1.13 more hours of sleep than the actual sleep.

• 1.13, The model predicted 1.13 fewer hours of sleep than the actual hours of sleep.

• -1.13, The model predicted 1.13 fewer hours of sleep than the actual hours of sleep.

• -1.13 The model predicted 1.13 more hours of sleep than the actual hours of sleep.