Question

Car, x. When researchers looked at the association of x and y, they found that the coefficient of determination was = 0.158. Select two conclusions that the researcher can make from this data.

a) About 40% of the variation in the age of the car is explained by a linear relationship with the value of the car.
b) The correlation coefficient, r, is 0.842.
c). The correlation coefficient, r, is 0.025.
d) The correlation coefficient, r, is 0.397
e) About 84% of the variation in the value of the car is explained by a linear relationship with the age of the car
f.) About 16% of the variation in value of the car is explained by a linear relationship with the age of the car.

Answer 1

D and f

Explanation:

From the question,

Coefficient of determination r² = 0.158

D.

To get the correlation coefficient,

We take the square root of birth sides,

√r² = √0.158

r = 0.397

F.

The coefficient of determination = 0.158

When approximated, we get 0.16

0.16 x100

= 16percent

So 16% of this variation explains the linear relationship with age of car

So from the explanations for d and f above, it is evident that the answer options I chose are the correct answers to the question.