A strong linear relationship exists between two variables (r = 0.97). The equati

Question

A strong linear relationship exists between two variables (r = 0.97). The equation of the least squares line(regression equation) is y = 15.75 - 0.55x. For what values of x should we use this equation to make predictions? Below are the ordered pairs used to calculate the regression equation.

(5, 5.5), (7, 8), (8, 8), (10, 9), (11, 10), (12, 11)

Values of x less than or equal to 12

Any positive value of x

Values of x between 5 and 12 inclusive

Values of x less than or equal to 5

Values of x less than or equal to 12

Any positive value of x

Values of x between 5 and 12 inclusive

Values of x less than or equal to 5

Explanation / Answer

it can be used for any value of x, not necessarily positive or negative.

However the option that matches the closest is b) any positive value of x.

But there is a serious error in the equation, if we use those six pairs of coordinates to find the regression equation, we get the below equation

y = 2.35 +0.706 * x

whereas the equation given in the question is completely different.

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