So, =0.1902. 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 14 restaurants. The results of the study show that b, = 1.4973 and 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. OC. Ho: Po20 H,: Bo <0 OF. Ho: Po =0 Hạ: Bo #0 O A. Ho: Poso H,: Bo >0 O B. Ho: P, 20 H,: B, <0 O D. Ho: B, =0 H,: B, #0 O E. Ho: P, s0 H,: B, >0 Compute the test statistic. The test statistic is . (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. V Hg. There is V evidence 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 sB, s. (Round to four decimal places as needed.) NOTE: To find the confidence interval of the slope use the formula given in the textbook under the section- Confidence Interval Estimate for the slope.
So, =0.1902. 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 14 restaurants. The results of the study show that b, = 1.4973 and 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. OC. Ho: Po20 H,: Bo <0 OF. Ho: Po =0 Hạ: Bo #0 O A. Ho: Poso H,: Bo >0 O B. Ho: P, 20 H,: B, <0 O D. Ho: B, =0 H,: B, #0 O E. Ho: P, s0 H,: B, >0 Compute the test statistic. The test statistic is . (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. V Hg. There is V evidence 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 sB, s. (Round to four decimal places as needed.) NOTE: To find the confidence interval of the slope use the formula given in the textbook under the section- Confidence Interval Estimate for the slope.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
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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 14 restaurants. The results of the study show that b, = 1.4973 and
Sp. = 0.1902.
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.
O A. Ho: Poso
H,: Po >0
O B. Ho: B, 20
H,: B, <0
OC. Họ: Po 20
H,: Bo <0
O D. Ho: B, = 0
H,: B, #0
O E. Ho: B, s0
H,: B, >0
OF. Ho: Po = 0
H,: Bo #0
Compute the test statistic.
The test statistic is|. (Round to two decimal places as needed.)
Determine the critical value(s).
The critical value(s) is(are)
(Use
comma to separate answers as needed. Round to two decimal places as needed.)
Reach a decision.
V Hn. There is
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, s.
(Round to four decimal places as needed.)
NOTE: To find the confidence interval of the slope use the formula given in the textbook under the section- Confidence Interval Estimate for the slope.
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