TASKistogothroughthisanswersandsummarizeintoaSHORTREPORT (half page not full page) andassumethereaderishavingnobackgroundonstatistic,henceclearreportisappreciated.Pleasedon'tbetoolong as it is brief report. Tables can mention as appendix.

Regression Analysis

The manager of a fast-food restaurant wants to determine how sales in each week are related to the number of discount vouchers (#) printed in the local newspaper during the week. The number of vouchers and sales ($000s) from 10 randomly selected weeks is given below:

Number of vouchers	Sales
4	12.8
7	15.4
5	13.9
3	11.2
19	18.7
10	17.9
8	16.8
6	15.9
3	11.5
5	13.9

1. Interpret the value of intercept coefficient & the slope of the regression line

The expected sales value when the number of vouchers in 0 is 11.5676. While each increase of 1 in number of vouchers is estimated to result in an increase in sales by 0.4618.

2. Determine the coefficient of determination and discuss what the coefficients tell you about the relationship between the two variables.

The coefficient of the determination is 0.7267 and this indicates a very strong correlation between number of vouchers and sales. This also indicates that the percentage of variation in sales that can be explained by the number of vouchers is 72.67%.

3. Use the regression equation toPredict weekly sales in the fast-food restaurant if 10 vouchers are printed in the local newspaper.

predicted weekly sales = 16.1853

4. Plot the residuals against the predicted values.Plot the residuals against the predicted values ofy. Does the variance appear to be constant

Explanation:

Here are the results using excel:

Regression Statistics
Multiple R	0.85244715
R Square	0.72666614
Adjusted R Square	0.69249941
Standard Error	1.43011209
Observations	10

	Coefficients	Standard Error	t Stat	P-value
Intercept	11.5676471	0.8341319	13.8678872	7.0696E-07
Number of vouchers	0.46176471	0.10012787	4.61174984	0.00172871

Observation	Predicted Sales	Residuals
1	13.4147059	-0.6147059
2	14.8	0.6
3	13.8764706	0.02352941
4	12.9529412	-1.7529412
5	20.3411765	-1.6411765
6	16.1852941	1.71470588
7	15.2617647	1.53823529
8	14.3382353	1.56176471
9	12.9529412	-1.4529412
10	13.8764706	0.02352941