Question

If the coefficient of determination is a positive value, then the regression equation _________.a. must have a positive slope b. must have a negative slope c. could have either a positive or a negative slope d. must have a positive y intercept

Answer 1

Option c

Explanation:

Given that if the coefficient of determination is a positive value, then the regression equation _________

While r the correlation coefficient represents thelinear association between two variables, r has an attached sign.

A positive r represents positive slope and negative r negative slope

But coefficient of determination is the square of r and hence from this R^2 value alone we cannot conclude whether positive or negative relation exists.

As a result,

c. could have either a positive or a negative slope

is right answer