Question

hours studied	X^2	score on quiz	Y^2	XY
1	1	3	9	3
2	4	5	25	10
3	9	7	49	21
5	25	9	81	45

sigmaX=11 sigmaX^2=39 sigmaY=24    sigmaY^2=164 sigmaXY=79

part a:

1.what is the predictor variable?

2. what is the criterion variable?

compute the Pearson correlation.

3. what is the covariance.

4 what is the standard deviation of the predictor variable.

5 what is the standard deviation of the criterion variable.

6 what is the Pearson's r value

7. what is the best interpretation of your Pearson correlation in Q6? A. as hours studied goes up there is a corresponding increase in score on quiz. B. As hours studied goes up there is a corresponding decrease in score on quiz.

8. The strength of the above relationship is considered.    A, weak b. moderate    c. strong.

Part B. compute the regression equation.

9. what is the numeric value for the slope?

10. what is the y-intercept?

11. what is the regression equation?

12. predict the total number of points on the quiz for a person studying 4 hours.

Answer 1

1.) Predictor variable: The variable which is used to refer to other variables or also can be specified as an independent variable. It is used to calculate the values of other variables.

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2.) Criterion variable: The variable which depends on other variables or predictor variable known as the criterion variable.

We are given,

Now, put all the values in the formula:

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3.) We have ,

Now,

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4.)

Standard deviaton of predictor variable:1, 2, 3, 5

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