Question

PLEASE ANSWER ALL QUESTIONS !

1. The following sample observations were randomly selected:

X	Y
10	4
5	6
6	5
4	7
3	7

What is the coefficient of correlation?

Select one:

a. 0.90

b. -0.46

c. -0.95

d. 0.82

2. The regression output from Excel indicates that the Significance F is 0.001. Does that mean there is a significant relationship?

Select one:

a. Yes, because it is small.

b. Yes, because it is large.

c. No, because it is small.

d. No, because it is large.

3. A business is evaluating their advertising budget, and wishes to determine the relationship between advertising dollars spent and changes in revenue. Below is the output from their regression.

SUMMARY OUTPUT

Regression Statistics

Multiple R	0.95
R Square	0.90
Adjusted R Square	0.82
Standard Error	0.82
Observations	8
ANOVA
	df	SS	MS	F	Significance F
Regression	3	23.188	7.729	11.505	0.020
Residual	4	2.687	0.672
Total	7	25.875
	Coefficients	Std Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	83.91	2.03	41.36	0.00	78.28	89.54
TV ($k)	1.96	0.48	4.10	0.01	0.63	3.29
Radio ($k)	0.76	0.47	1.64	0.18	-0.53	2.05
Newspaper ($k)	1.76	1.93	0.91	0.41	-3.60	7.11

What percentage of the change in revenue can be explained by changes in advertising dollars?

Select one:

a. 0.95

b. 0.90

c. 83.91

d. 1.96.

Answer 1

Answer - 1: Correlation coefficient of given data = -0.95

Option C is correct.

Answer - 2: Option A is correct.

Answer - 3: Option B is correct.