Question

If y is the response variable and x is the explanatory variable, what does the regression line allow you to do that correlation does not?

a) calculate the exact value of x given a value for y .
b) calculate the predicted value of x given a value for y.
c) calculate the exact value of y given a value for x .
d) calculate the predicted value of y given a value for x.

Answer 1

The regression line allows you to calculate the predicted value of x given a value for y, while correlation does not provide this information.

Step-by-step explanation:

The regression line allows you to calculate the predicted value of x given a value for y, while correlation does not provide this information. The regression line is obtained by finding the line of best fit through the data points, while correlation measures the strength and direction of the relationship between the variables. The equation of the regression line is given in the form y = a + bx, where y represents the predicted value of the response variable y for a given value of the explanatory variable x.