The value of a correlation between two variables x and y is reported by a resear

Question

The value of a correlation between two variables x and y is reported by a researcher to be r = -0.5; x is the independent variable. Which one of the following statements is correct? a. The x-variable explains 25% of the variability in the y-variable b. The x-variable explains -25% of the variability in the x-variable b. c. The x-variable explains 50% of the variability in the invariable. d. The x-variable explains -50% of the variability in the y-variable. One use of a regression line is a. To determine if any x-values arc outliers b. To determine if any y-values arc outliers c. To determine if a change in x is related to a change in y.

Explanation / Answer

Solution2:

Form r=-0.5

we can find cofficient of determination

R sq

R sq=r*r=0.5*0.5=0.25

25%

R sq tells % vraiation in Y explained by X

Here 25% variation in Y is explained by X.

ANSWER A

Solution3:

one use of regression line

to find slope

slope=change in y/change in X

ANSWER C

SOLUTION4:

POINT ESTIMATE

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