Question

Which of the following regressions represents the strongest negative linear relationship between x and y?

Regression 1:
y = -2.2x + 1.2
r = -0.5227
Regression 2:
y = -1.4x + 15.2
r = -1.0142
Regression 3:
y = -14.1x + 12.8
r = -0.1079
Regression 4:
y = 19x - 4.7
r = 0.5949

A. Regression 1
B. Regression 2
C. Regression 3
D. Regression 4

Answer 1

The strongest negative linear relationship between x and y is represented by Regression 3: y = -14.1x + 12.8 r = -0.1079.

Step-by-step explanation:

The strongest negative linear relationship between x and y is represented by Regression 3: y = -14.1x + 12.8 r = -0.1079.

The correlation coefficient, r, measures the strength of the linear association between x and y. A negative value of r means that when x increases, y tends to decrease.

In this case, Regression 3 has the lowest absolute value of r, indicating the strongest negative linear relationship between x and y.