Question

Task : Input this data into the SPSS and do the regression analysis as discussed today in the class.

SN	Food exp.	Monthly income	family size
1	3	8	5
2	4	12	7
3	5	15	5
4	2	5	6
5	5	4	4
6	3	8	9
7	4	13	10
8	7	9	6
9	5	11	7
10	6	12	8
11	4	7	8
12	8	8	12
13	4	9	11
14	2	6	5
15	3	7	3

Answer 1

Coefficientsa
Model	Unstandardized Coefficients	Standardized Coefficients	t	Sig.
B	Std. Error	Beta
1	(Constant)	1.708	1.631		1.047	.316
Monthly_income	.128	.149	.231	.859	.407
Family_Size	.210	.177	.319	1.187	.258
a. Dependent Variable: Food_Exp

The regression equation is,

Y = 1.708 + 0.128 * monthly Income + 0.210 Family* Size

Interpretation of regression Coefficient:-

β1 = 0.128

β1 = As One unit increase in the variable monthly Income there is 0.128 Unit increase in the Food Exp .

β2 = 0.210

β2 = As One unit increase in the variable Family Size there is 0.210 Unit increase in the Food Exp .

Model Summary
Model	R	R Square	Adjusted R Square	Std. Error of the Estimate
1	.439a	.192	.058	1.66783
a. Predictors: (Constant), Family_Size, Monthly_income

r square = 0.192

19.2 % represents a model that explain the variation in the response variable around its mean.