Question

Conc	Ratio	Temp	Time	Rating
2	4	180	7	2.25
2	4	100	3	1.6
2	13	140	1	3.1
4	7	140	3	4.8
4	10	180	3	4.5
4	10	160	5	4.6
4	13	100	7	4.3
4	1	180	7	1.8
4	1	100	1	1.3
4	1	100	1	1.4
4	1	100	1	1.45
5	4	160	7	4.5
5	1	100	7	1.4
5	4	100	1	1.7
5	13	140	1	4.5
6	7	120	7	4.7
6	13	180	7	4.7
6	1	160	1	1.5
7	4	180	1	4.6
7	4	180	5	4.6
7	7	180	1	4.75
7	13	140	1	4.6
7	1	120	7	2.5
7	10	100	7	4.6
8	4	100	1	1.4
8	10	140	3	4.7
8	13	140	1	4.6
8	1	160	7	2
10	7	120	5	4.9
10	13	180	3	4.8
10	10	120	7	4.9
10	1	180	1	2.6

In SPSS Estimate a multiple regression model that could be used to predict the wrinkle resistance rating
of cotton cloth given data on the four predictor variables.
Test for the statistical significance of each predictor variable at the 0.05 level of significance testing
What is the percentage variation in wrinkle resistance rating that is explained by the model you
estimated?

Type or paste question here

Answer 1

Solution:

The SPSS output for multiple regression is:

The multiple regression equation is:

Test for the statistical significance of each predictor variable at the 0.05 level of significance testing

Answer:

Conc: Since the p-value for the Conc coefficient is 0.022 which is less than the level of significance 0.05, indicating, the Conc variable is significant.

Ratio: Since the p-value for the Ratio coefficient is 0.000 which is less than the level of significance 0.05, indicating, the Ratio variable is significant.

Temp: Since the p-value for the Temp coefficient is 0.027 which is less than the level of significance 0.05, indicating, the Temp variable is significant.

Time: Since the p-value for the Time coefficient is 0.094 which is greater than the level of significance 0.05, indicating, the Time variable is not significant.

What is the percentage variation in wrinkle resistance rating that is explained by the model you estimated?

Answer: The R-square value is 0.729, therefore, 72.9% variation in wrinkle resistance rating is explained by the estimated model.