The following table shows the hot dogs bought from a street vendor over the cour

Question

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 Celskus Temperature(C) 22 | 12 I 25 18 7 10 20 21 22 4234 Demand A linear regression on the data gives the equation below Complete parts a through d below Predicted Demand- 11.04+1.30(Temperature) a. Calculate the SST SST= Round to two decimal places as needed) b. Partition the total sum of squares into the SSR and SSE SSE SSR = (Round to two decimal places as needed) c. Calculate the sample coefficient of determination Round to three decimal places as needed )

Explanation / Answer

The statistical software output for ANOVA table is:

Analysis of variance table for regression model:

Hence,

a) SST = 756.88

b) SSE = 254.04

SSR = 502.83

c) R2 = 0.664

d) Null and alternative hypotheses: Option D

F = 11.88

p - Value = 0.014

Conclusion: Option C

Source DF SS MS F-stat P-value Model 1 502.83432 502.83432 11.876074 0.0137 Error 6 254.04068 42.340113 Total 7 756.875

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