Question

The equation of the regression line between two variables x (independent variable) and y (dependent variable) is given by y-hat = -3x + 2; and the correlation coefficient is r = -.95. The possible x-values range from 1 to 10.

Which of the following statements are correct?

I. The variable y is strongly positive correlated to the variable x.

II. The variable y is strongly negative correlated to the variable x.

III. If x = 5, one would predict that y = 17.

IV. If x = 5, one would predict that y = -13.

answer choices:

Only I and IV are true.

Only I is true.

Only II and III are true.

Only II is true.

Only II and IV are true.

Answer 1

1) Given: r = ?.95

So, II. The variable y is strongly negative correlated to the variable x.

Also, for x = 5

y^ =?3 * 5 + 2

y = - 13

E.) Only II and IV are true.