Question

Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as
y
=
−
10.51
x
+
15.05

and the
r
=
−
0.45
.

Answer 1

The proportion of the variation in y that can be explained by the variation in the values of x is 0.2025

How to determine the proportion of the variation in y that can be explained by the variation in the values of x?

The complete question requires that we calculate the proportion of the variation in y that can be explained by the variation in the values of x

The given parameters in the question are:

The regression equation is reported as

y = − 10.51x + 15.05

r = − 0.45

Take the square of both sides in the equation r = − 0.45

r^2 = − 0.45^2

Evaluate the squares

r^2 = 0.2025

This represents the proportion of the variation in y that can be explained by the variation in the values of x

Hence, the proportion of the variation in y that can be explained by the variation in the values of x is 0.2025

Read more about proportion of variation at

brainly.com/question/17237825

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