Question

This is a computational problem that will cover questions A-L. Dr. Pam Wilson-Gomez is interested in determining if there is a significant relationship between x and y. She measured a person’s mood (x, 1=worst, 20=best) and the person’s creativity (y, 1=lowest, 15=highest).

Person's mood (x)	Person's creativity (y)	x2	y2	xy
15 14 10 9 8 8 7 6 4 2	4 6 4 8 7 8 10 9 14 12
Σx =	Σy =	Σx2 =	Σy2 =	Σxy=

k) Calculate the regression equation for predicting scores on the person's creativity, based on the person's mood.

Group of answer choices

b (slope) is

      [ Choose ]            .689            x' = .689y - 13.919            13.919            2.206            25.632            -.689            y' = -.689x + 13.919      

a (y intercept) is

      [ Choose ]            .689            x' = .689y - 13.919            13.919            2.206            25.632            -.689            y' = -.689x + 13.919      

What is the equation?

      [ Choose ]            .689            x' = .689y - 13.919            13.919            2.206            25.632            -.689            y' = -.689x + 13.919      

If x = 17, y' =

      [ Choose ]            .689            x' = .689y - 13.919            13.919            2.206            25.632            -.689            y' = -.689x + 13.919      

L) Find the standard error of the estimate for y.

Group of answer choices

.795

4.772

1.560

Undetermined

Answer 1

	Person's mood	Person's creativity	x2	y2	xy
	(x)	(y)
	15	4	225	16	60
	14	6	196	36	84
	10	4	100	16	40
	9	8	81	64	72
	8	7	64	49	56
	8	8	64	64	64
	7	10	49	100	70
	6	9	36	81	54
	4	14	16	196	56
	2	12	4	144	24
Sum	83	82	835	766	580

Σx = 83, Σy = 82, Σx2 = 835, Σy2 = 766, Σxy= 580

Using Excel, go to Data, select Data Analysis, choose Regression

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.957
R Square	0.916
Adjusted R Square	0.907
Standard Error	6.977
Observations	11
ANOVA
	df	SS	MS	F	Significance F
Regression	1	4780.822	4780.822	98.217	0.000
Residual	9	438.087	48.676
Total	10	5218.909
	Coefficients	Standard Error	t Stat	P-value
Intercept	0.577	2.563	0.225	0.827
X	0.973	0.098	9.910	0.000

Regression equation: y = 0.577 + 0.973x

slope = 0.973

y intercept = 0.577

If x = 17, y' = 0.577 + 0.973*17 = 17.118

Standard Error = 6.977