Question

In: Statistics and Probability

Conduct a regression and correlation hypothesis test step 1 to step 5 on the data below...

Conduct a regression and correlation hypothesis test step 1 to step 5 on the data below before you answer each question. The number of fat calories and number of saturated fate grams for a random selection of nonbreakfast entrees are shown below. Use a .05 level of significance.

Y X

9 190

8 220

13 270

17 360

23 460

27 540

What is the null and alternative hypotheses step one?

a. H0: There is no relationship.
H1: There is a significant relationship.

b. H0: There is no change.
H1: There is a significant change.

c. H0: The means are the same.
H1: The means are not the same.

d. H0: There is no difference.
H1: There is a significant difference.

Solutions

Expert Solution

	X	Y	X * Y
	190	9	1710	36100	81
	220	8	1760	48400	64
	270	13	3510	72900	169
	360	17	6120	129600	289
	460	23	10580	211600	529
	540	27	14580	291600	729
Total	2040	97	38260	790200	1861

r = 0.9927

To Test :-

a. H0: There is no relationship.
H1: There is a significant relationship.

Test Statistic :-

t = 16.4878

Test Criteria :-
Reject null hypothesis if

Result :- Reject null hypothesis

Decision based on P value
P - value = P ( t > 16.4878 ) = 0.0001
Reject null hypothesis if P value < level of significance
P - value = 0.0001 < 0.05 ,hence we reject null hypothesis
Conclusion :- We reject H0

There is statistically linear correlation between variables.

orchestra answered 1 year ago

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