Question

Which of the following regressions represents the weakest linear relationship

between x and y?
Regression 1
y = ax + b
a = -5.8
b=-6.5
r = -0.7621
Regression 2
y = ax + b
a = 2.4
b = -14.7
T= = 0.809
Regression 3
y = ax + b
= -7.4
b=-17.4
a=
r=-0.233
Regression 4.
yax+b
a = -3.4
b= -8.5
T= -0.6121

Please send help

Answer 1

Regression 3 has the weakest linear relationship between x and y, as indicated by its correlation coefficient of -0.233, which is the lowest in absolute value compared to the other regressions provided.

Step-by-step explanation:

To determine which of the given regressions represents the weakest linear relationship between x and y, we look at the correlation coefficient (r). The correlation coefficient indicates the strength and direction of a linear relationship between two variables.

In the provided regressions, we look for the correlation coefficient with the lowest absolute value, as this would indicate the weakest linear relationship. Here are the correlation coefficients for each regression:

Regression 3: r = -0.233

The correlation coefficient for Regression 3 is -0.233, which has the lowest absolute value compared to the others. Therefore, Regression 3 represents the weakest linear relationship between x and y.