Question

The following table shows the hot dogs bought from a street vendor over the course of...

The following table shows the hot dogs bought from a street vendor over the course of eight days ("Demand"). Also shown is the temperature for each day in degrees Celsius.

Temperature (°C)

22

9

22

18

6

10

19

21

Demand

49

30

36

40

18

22

42

32

A linear regression on the data gives the equation below. Complete parts a through d below.

Predicted Demand

a. Calculate the SST.

b. Partition the total sum of squares into the SSR and SSE.

SSE=

SSR=

c. Calculate the sample coefficient of determination.

R^2=

d. Test the significance of the population coefficient of determination using α=

Determine the null and alternative hypotheses. Choose the correct answer below.

Calculate the test statistic.

F=

Determine the p-value.

Determine the correct conclusion.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

a)

SST= 747.8750

SSE =238.3264

SSR =509.5486

c)

R2 =0.6813

d)

test statistic F=12.83

p value =0.0372

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