Question

The linear correlation coefficient of a set of data points is -0.9.

a. Is the slope of the regression line positive or negative?
b. Determine the coefficient of determination.

Answer 1

1. The slope is negative.

2. 0.81

Step-by-step explanation:

The slope of the regression line is definitely negative

A linear equation has its regression line as

T = a + bc

The slope of the regression line is known as b.

From the question, b = -0.9

Therefore the slope of the regression line is negative.

B. Coefficient of determination = r²

r =(-0.90)

r² = 0.81