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, = 1.4273 and Sp, = 0.1089. a. At the 0.05 level of significance, is there evidence of a linear relationship between the summated rating of a restaurant an the cost of a meal? b. Construct a 95% confidence interval estimate of the population slope, B1. a. Determine the hypotheses for the test. Choose the correct answer below. O A. Ho: Po 20 H;: Bo <0 O B. Ho: B, 20 H;: B, <0 O C. Ho: Po =0 H;: Bo#0 O D. Ho: Bo so H;: Bo>0 O E. Ho: B1 = 0 H4: B, #0 O F. Ho: B, 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. Ho. There is Vevidence 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. o. The 95% confidence interval is SB, s. Pound t four decimal places as needed )
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, = 1.4273 and Sp, = 0.1089. a. At the 0.05 level of significance, is there evidence of a linear relationship between the summated rating of a restaurant an the cost of a meal? b. Construct a 95% confidence interval estimate of the population slope, B1. a. Determine the hypotheses for the test. Choose the correct answer below. O A. Ho: Po 20 H;: Bo <0 O B. Ho: B, 20 H;: B, <0 O C. Ho: Po =0 H;: Bo#0 O D. Ho: Bo so H;: Bo>0 O E. Ho: B1 = 0 H4: B, #0 O F. Ho: B, 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. Ho. There is Vevidence 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. o. The 95% confidence interval is SB, s. Pound t four decimal places as needed )
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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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, = 1.4273 and
Sp, = 0.1089.
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: Po20
О В. Но: В, 20
H;: B1 <0
O C. Ho: Po =0
H4: Bo#0
O F. Ho: B, S0
H;: B, >0
0> °g :'H
O D. Ho: Po so
H,: Bo>0
O E. Ho: B, =0
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 Ho. There is
V 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 SB, s.
(Round to four decimal places as needed )
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