6 A dog trainer is exploring the relationship between the sireorthe dog ight in

Question

6 A dog trainer is exploring the relationship between the sireorthe dog ight in pounds) and its daily food consumption (measured in standard cups) Below is the result ofa sample of 18 [20 Points] observations. The following computer output was obtained. ANOVA 613.19 36815.64 16 60.04 37776.28 Coefncients Standard Error t Stat value. 5.27 22.93 0.93 a. Complete the anova table. b. write the estimated regression equation. c. Find the value of the t stat for consumption. [Show your calculations here] d. Find the critical value for the t test. Use the .05 significance level. e. Is there test the significant relationship between the two variables? Explain. f How much does each additional cup change the estimated weight of the dog? g. Estimate the weight of the dog that consumes 6 cups daily.

Explanation / Answer

We know that

a) SS/df = MS

So, SS due to treatment = 36815.64*1 = 36815.64

and SS error = 60.04*16 = 960.64

b) Regression equation = -29.70 + 22.93 cups = weight

c) t stat for consumption = 22.93/0.93 = 24.65

d) critical value , t value right tail = 1.74. t value two tail = 2.11

f) 22.93 pounds change for every cup

g) weight when 6 cups consumed = -29.7+22.93*6 = 107.88 pounds

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