Consumer Reports rated 77 cereals on a scale of 0 to 100. The number of grams of

Question

Consumer Reports rated 77 cereals on a scale of 0 to 100. The number of grams of sugar contained in each serving of the corresponding cereals was also recorded. Using sugar as the explanatory variable and the Consumer Reports rating as the dependent variable, computer output of the data is as follows (the p-values are intentionally left blank): ictor.li Coef |[. StDev][. T nstant 58.93 1.847 30.58 Sugars2.56 0.28998 s-9.204 R-Sq= 61.2% R-Sq(adj)=59.9% Part a: What is the regression equation? Part b: Calculate the 95% confidence interval of the slope of the regression line for all cereals. Part e: Use the information provided to test whether there is a significant relationship between the sugar content and the Consumer Report rating at the 5% level.

Explanation / Answer

a)

Consumer Reports Rating=58.93-2.56*Sugars

b)

DF=75, tCRIT is 1.99

-2.56+/-1.99*0.28= -3.1172 to -2.0028

c)

P-value would turn out to be 0.00 and it is less than a. Hence the variable is significant in estimating the variation in the dependent variable.

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