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 )

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Need help answering please
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 )
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 )
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman