Question 1 With the growth of internet service providers, a researcher decides to examine whether there is a correlation between cost of internet service per month (rounded to the nearest peso) and degree of customer satisfaction (on a scale of 10 - 100 with a 10 being not at all satisfied and a 100 being extremely satisfied). The researcher only includes programs with comparable types of services. A sample of the data is provided below. IT Pesos Satisfaction 550 54 900 850 87 66 750 73 450 59 250 77 600 70 950 99 1100 95 1250 88 a. Compute for the correlation coefficient. Ans = b. Compute for the coefficient of determination. Ans = c. Determine the Regression Equation. y = !

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Question 1
With the growth of internet service providers, a researcher decides to examine whether there is a correlation between cost of internet service per month (rounded to the nearest
peso) and degree of customer satisfaction (on a scale of 10 - 100 with a 10 being not at all satisfied and a 100 being extremely satisfied). The researcher only includes programs
with comparable types of services. A sample of the data is provided below.
Pesos
Satisfaction
550
54
900
87
850
66
750
73
450
59
250
77
600
70
950
99
1100
95
1250
88
a. Compute for the correlation coefficient. Ans =
b. Compute for the coefficient of determination. Ans =
c. Determine the Regression Equation. y = !
d. Using your equation, estimate the satisfaction of the customer if the cost is P1175 per month. Ans =
e. Using your equation, estimate the satisfaction of the customer if the cost is P245 per month. Ans =
f. At 95% Confidence Level, construct a Confidence and Prediction Interval for your answer in (d).
<y<
< y(n+1) <
Question 2
Using the data from Question 1, test the significance of the coefficient of determination @ 19% significance level.
Ftest =
Fcritical ='
Transcribed Image Text:Question 1 With the growth of internet service providers, a researcher decides to examine whether there is a correlation between cost of internet service per month (rounded to the nearest peso) and degree of customer satisfaction (on a scale of 10 - 100 with a 10 being not at all satisfied and a 100 being extremely satisfied). The researcher only includes programs with comparable types of services. A sample of the data is provided below. Pesos Satisfaction 550 54 900 87 850 66 750 73 450 59 250 77 600 70 950 99 1100 95 1250 88 a. Compute for the correlation coefficient. Ans = b. Compute for the coefficient of determination. Ans = c. Determine the Regression Equation. y = ! d. Using your equation, estimate the satisfaction of the customer if the cost is P1175 per month. Ans = e. Using your equation, estimate the satisfaction of the customer if the cost is P245 per month. Ans = f. At 95% Confidence Level, construct a Confidence and Prediction Interval for your answer in (d). <y< < y(n+1) < Question 2 Using the data from Question 1, test the significance of the coefficient of determination @ 19% significance level. Ftest = Fcritical ='
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