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 Celsius. nbsp Temperature (C*): 22 12 22 19 7 11 16 23 Demand: 50 30 36 40 18 25 40 31 A linear regression on the data gives the equation below. Complete parts a through d below. Predicted Demand equals 13.22 plus 1.24 left parenthesis Temperature right parenthesis a. Calculate the SST. SSTequals nothing ​(Round to two decimal places as​ needed.) b. Partition the total sum of squares into the SSR and SSE. SSEequals nothing SSRequals nothing ​(Round to two decimal places as​ needed.) c. Calculate the sample coefficient of determination. Upper R squaredequals nothing ​(Round to three decimal places as​ needed.) d. Test the significance of the population coefficient of determination using alphaequals0.05. Determine the null and alternative hypotheses. Choose the correct answer below. A. Upper H 0​: rho squaredless than0 Upper H 1​: rho squaredgreater than or equals0 B. Upper H 0​: rho squaredgreater than0 Upper H 1​: rho squaredless than or equals0 C. Upper H 0​: rho squaredless than or equals0 Upper H 1​: rho squaredgreater than0 D. Upper H 0​: rho squaredgreater than or equals0 Upper H 1​: rho squaredless than0 Calculate the test statistic. Fequals nothing ​(Round to two decimal places as​ needed.) Determine the​ p-value. The​ p-value is nothing. ​(Round to three decimal places as​ needed.) Determine the correct conclusion. Choose the correct answer below. A. Reject Upper H 0. There does not appear to be a relationship between temperature and demand. B. Do not reject Upper H 0. There does not appear to be a relationship between temperature and demand.   C. Reject Upper H 0. There appears to be a relationship between temperature and demand. D. Do not reject Upper H 0. There appears to be a relationship between temperature and demand.

Answer 1

from above:

a)SST. =693.500

b) SSE =306.62

SSR =386.88

c)

Coeffficient of determination R^2 =SSR/SST=

0.558

d)

option C is correct for hypothesis

  test statistic F =7.57

p value =0.033

Reject  H 0. There appears to be a relationship between temperature and demand.