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 pvalue.
Determine the correct conclusion.
a)
SST= 747.8750
SSE =238.3264
SSR =509.5486
c)
R^{2} =0.6813
d)
test statistic F=12.83
p value =0.0372
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