Consider the following dataset:
Given that the LSRL for these data is ŷ = 26.211 – 0.25x , what is the value of the residual for x = 73?
Is the point (73, 7.9) above or below the regression line?
Suppose the correlation between two variables is r = –0.75. What is true of the correlation
coefficient and the slope of the regression line if
(a) each of the y values is multiplied by –1?
(b) the x and y variables are reversed?
(c) the x and y variables are each multiplied by –1?
- Suppose the regression equation for predicting success on a dexterity task (y ) from the number of
training sessions (x ) is ŷ = 45 + 2.7x and that .What percentage of the variation in y is not explained by the regression on x ?
Consider the following scatterplot. The highlighted point is both an outlier and an influential point.
Describe what will happen to the correlation and the slope of the regression line if that point is
removed.
- The computer printout below gives the regression output for predicting crime rate (in crimes per
1000 population) from the number of casino employees (in 1000s).
Based on the output,
(a) give the equation of the LSRL for predicting crime rate from number .
(b) give the value of r , the correlation coefficient.
(c) give the predicted crime rate for 20,000 casino employees.