Question

Zippy Cola is studying the effect of its last advertising campaign. People chosen at random were called and asked how many cans of zippy cola they hand bought and advertisements they had either read or seen of zippy cola in the past week Number of ads 3, 7, 4, 2, 0, 4, 1, 2 Cans purchased 11, 18, 9 ,4,7 ,6,3 ,8 what are the independent and dependent variables and also calculate slope and intercept

Answer 1

The number of cans purchased by an individual depends on the number of ads he has seen or read

So, the independent variable (X) will be the number of ads seen

the dependent variable (Y) will be the number of cans purchased

Y = f(X)

No. of Cans purchased = f(No. of ads seen)

Here is the regression output-

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.786727714
R Square	0.618940496
Adjusted R Square	0.555430579
Standard Error	3.142577309
Observations	8
ANOVA
	df	SS	MS	F	Significance F
Regression	1	96.24524715	96.24524715	9.745572382	0.020538054
Residual	6	59.25475285	9.875792142
Total	7	155.5
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%	Lower 95.0%	Upper 95.0%
Intercept	3.330798479	1.928082858	1.72751833	0.134816511	-1.387050315	8.048647273	-1.387050315	8.048647273
X Variable 1	1.711026616	0.548091529	3.121789932	0.020538054	0.369894959	3.052158273	0.369894959	3.052158273

The regression equation is-

Y = 3.33 + 1.71*X

So, the Slope = 1.71 and Intercept = 3.33

Let me know if you need anything else, if not please don't forget to like the answer :)