Research indicates that the average cost per subscriber of the Ghana National Health Insurance Scheme (NHIS) is related to the average number of visits to a health facility by a subscriber, with a coefficient of correlation as high as 95%. To prove this claim, the following data were taken from past annual reports of the Ghana NHIS. Average number of visits per subscriber (x) Average cost per subscriber in GH¢ (y) City (х — х)2 | (у — у)? | (х — X)(у —У) 2011 1.1 16.0 2.09 50.80 10.31 2012 2.3 15.5 0.09 57.57 2.23 2013 2.8 20.4 0.04 7.21 -0.51 2014 2.2 22.5 0.19 0.37 0.26 2015 3.3 20.4 0.46 7.63 -1.88 2016 2.8 24.4 0.06 1.49 0.31 2017 2.9 27.1 0.07 15.91 1.04 2018 3.0 30.2 0.20 49.81 3.16 2019 2.9 31.6 0.11 72.29 2.88 a. Use the data provided to develop an estimated regression equation that could be used to predict the average annual cost of Ghana NHIS given the average number of visits per subscriber. b. Find the coefficient of determination (R2) of the regression equation. Assume SSE = 167.26 %3D c. Did the estimated regression equation provide a good fit in relation to the claim? Explain. d. Test for a significant relationship between average annual cost and average number of visits per subscriber by using the t test. Use a = 0.05. Assume estimated standard deviation of the regression coefficient (b,) is 2.686. *
Research indicates that the average cost per subscriber of the Ghana National Health Insurance Scheme (NHIS) is related to the average number of visits to a health facility by a subscriber, with a coefficient of correlation as high as 95%. To prove this claim, the following data were taken from past annual reports of the Ghana NHIS. Average number of visits per subscriber (x) Average cost per subscriber in GH¢ (y) City (х — х)2 | (у — у)? | (х — X)(у —У) 2011 1.1 16.0 2.09 50.80 10.31 2012 2.3 15.5 0.09 57.57 2.23 2013 2.8 20.4 0.04 7.21 -0.51 2014 2.2 22.5 0.19 0.37 0.26 2015 3.3 20.4 0.46 7.63 -1.88 2016 2.8 24.4 0.06 1.49 0.31 2017 2.9 27.1 0.07 15.91 1.04 2018 3.0 30.2 0.20 49.81 3.16 2019 2.9 31.6 0.11 72.29 2.88 a. Use the data provided to develop an estimated regression equation that could be used to predict the average annual cost of Ghana NHIS given the average number of visits per subscriber. b. Find the coefficient of determination (R2) of the regression equation. Assume SSE = 167.26 %3D c. Did the estimated regression equation provide a good fit in relation to the claim? Explain. d. Test for a significant relationship between average annual cost and average number of visits per subscriber by using the t test. Use a = 0.05. Assume estimated standard deviation of the regression coefficient (b,) is 2.686. *
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Research indicates that the average cost per subscriber of the Ghana National Health Insurance
Scheme (NHIS) is related to the average number of visits to a health facility by a subscriber, with
a coefficient of correlation as high as 95%. To prove this claim, the following data were taken
from past annual reports of the Ghana NHIS.
Average number
of visits per
subscriber (x)
Average cost
per subscriber
in GH¢ (y)
City
(x – x)² (y – y)²
(x-x)(y-y)
2011
1.1
16.0
2.09
50.80
10.31
2012
2.3
15.5
0.09
57.57
2.23
2013
2.8
20.4
0.04
7.21
-0.51
2014
2.2
22.5
0.19
0.37
0.26
2015
3.3
20.4
0.46
7.63
-1.88
2016
2.8
24.4
0.06
1.49
0.31
2017
2.9
27.1
0.07
15.91
1.04
2018
3.0
30.2
0.20
49.81
3.16
2019
2.9
31.6
0.11
72.29
2.88
a. Use the data provided to develop an estimated regression equation that could be used to
predict the average annual cost of Ghana NHIS given the average number of visits per
subscriber.
b. Find the coefficient of determination (R2) of the regression equation. Assume SSE = 167.26
c. Did the estimated regression equation provide a good fit in relation to the claim? Explain.
d. Test for a significant relationship between average annual cost and average number of visits
per subscriber by using the t test. Use a = 0.05. Assume estimated standard deviation of the
regression coefficient (b,) is 2.686. **
m 00 N M
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman