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

Conduct a regression and correlation hypothesis test (step 1 to 5) on the data below before you answer each
question.
The number of fat calories and number of saturated fat 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 p value for this problem?

Solutions

Expert Solution

null hypothesis: Ho: ρ'=	0
Alternate Hypothesis: Ha: ρ≠	0

0.05 level,two tail test and n-2= 4 df, critical t=2.7764		*(from excel:tinv(0.05,4)*
Decision rule: reject Ho if absolute value of test statistic \|t\|>2.7764

correlation r='Sxy/(√Sxx*Syy) =		0.9927
test stat t=	r*(√(n-2)/(1-r²))=	16.506
P value =	0.0001	*(from excel:tdist(16.506,4,2)*

since p value is less than significance level , we reject null hypothesis

And conclude that there is significant linear association between number of fat calories and number of saturated fat grams

orchestra answered 1 year ago

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