In: Statistics and Probability
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 21 9 22 20 5 12 20 19 Demand 47 30 35 39 19 21 44 33 A linear regression on the data gives the equation below. Complete parts a through d below. Predicted Demand=12.78+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.
c. Calculate the sample coefficient of determination.
d. Test the significance of the population coefficient of determination using alpha equals 0.05
(Determine the test statistic, Determine the? p-value, Determine the conclusion.)
Answer:
(d) stated Hypothesis
Null hypothesis: R^2 = 0
.Alternative hypothesis: R^2 not equal to 0