Answer and show complete solution. Data for the energy consumption per person (or per capita) and per capita GNP output for eight different countries are tabulated below: Country no. X Y 1 600 1000 2 2700 700 3 2900 1400 4 4200 2000 5 3100 2500 6 5400 2700 7 8600 2500 8 10300 4000

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 20E
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Answer and show complete solution.
Data for the energy consumption per person (or per capita) and per capita GNP output for eight different countries are tabulated below:

Country no. X Y
1 600 1000
2 2700 700
3 2900 1400
4 4200 2000
5 3100 2500
6 5400 2700
7 8600 2500
8 10300 4000

In the above table, X = the per capita GNP of each country in 1972 US dollar equivalent and Y = the per capita energy consumption in kilos of coal equivalent 

a. Determine the regression equation for predicting the per capita energy consumption on the basis of a country’s per capita GNP output, and graph the regression line. 

b. Determine the correlation coefficient between X and Y. 

c. Evaluate the conditional standard deviation / standard error of estimate.

d. Determine the 95% confidence interval of the regression line by computing confidence intervals on various mean responses. Show a graph of the confidence interval.

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