A researcher developed a regression model to predict the cost of a meal based on the summated rating (sum of ratings for food, decor, and service) and the cost per meal for 10 restaurants. The results of the study show that b,1.5847 and Sb, 0.1723. a. At the 0.05 level b. Construct a 95% confidence interval estimate of the population slope, B, significance, is there evidence of a linear relationship between the summated rating of a restaurant and the cost of a meal? a. Determine the hypotheses for the test. Choose the correct answer below. O B. Ho P, =0 O A. Ho: B, s0 H;: B, >0 O D. Ho: Po 0 OC. Ho: o-0 H,: Po #0 H: B, #0 O E. Ho: B, 20 H;: B, <0 OF. Ho Pos0 H,: Po >0 H: o

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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A researcher developed a regression model to predict the cost of a meal based on the summated rating (sum of ratings for food, decor, and service) and the cost per meal for 10 restaurants. The results of the study show that b, = 1.5847 and
= 0.1723.
Spa
a. At the 0.05 level of significance, is there evidence of a linear relationship between the summated rating of a restaurant and the cost of a meal?
b. Construct a 95% confidence interval estimate of the population slope, B,.
a. Determine the hypotheses for the test. Choose the correct answer below.
о в. Но: В 30
O C. Ho: Po = 0
H;: Bo#0
A. Ho: B, <0
H;: B, > 0
H;: B, #0
D. Ho: Bo20
H,: Bo<0
E. Ho: B, 20
H;: B, < 0
O F. Ho: Bo <0
H;: Bo>0
Compute the test statistic.
The test statistic is 9.20. (Round to two decimal places as needed.)
Determine the critical value(s).
The critical value(s) is(are)
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Reach a decision.
Reject
Ho. There is
sufficient evidence at the 0.05 level of significance to conclude that there is a linear relationship between the summated rating and the cost of a meal at a restaurant.
b. The 95% confidence interval is < B, <
(Round to four decimal places as needed.)
Transcribed Image Text:A researcher developed a regression model to predict the cost of a meal based on the summated rating (sum of ratings for food, decor, and service) and the cost per meal for 10 restaurants. The results of the study show that b, = 1.5847 and = 0.1723. Spa a. At the 0.05 level of significance, is there evidence of a linear relationship between the summated rating of a restaurant and the cost of a meal? b. Construct a 95% confidence interval estimate of the population slope, B,. a. Determine the hypotheses for the test. Choose the correct answer below. о в. Но: В 30 O C. Ho: Po = 0 H;: Bo#0 A. Ho: B, <0 H;: B, > 0 H;: B, #0 D. Ho: Bo20 H,: Bo<0 E. Ho: B, 20 H;: B, < 0 O F. Ho: Bo <0 H;: Bo>0 Compute the test statistic. The test statistic is 9.20. (Round to two decimal places as needed.) Determine the critical value(s). The critical value(s) is(are) (Use a comma to separate answers as needed. Round to two decimal places as needed.) Reach a decision. Reject Ho. There is sufficient evidence at the 0.05 level of significance to conclude that there is a linear relationship between the summated rating and the cost of a meal at a restaurant. b. The 95% confidence interval is < B, < (Round to four decimal places as needed.)
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