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A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x). The results of the regression were: ŷ=a+bx a=-1.123 b=0.106

A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x). The results of the regression were: ŷ=a+bx a=-1.123 b=0.106

Linear Algebra: A Modern Introduction
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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A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x). The results of the regression were: j=a+bx a=-1.123 b=0.106 (a) Write the equation of the Least Squares Regression line of the form (b) Which is a possible value for the correlation coefficient, r? -0.979 O-1.975 O 1.975 O 0.979 (c) If a country increases its life expectancy, the happiness index will O decrease O increase (d) If the life expectancy is increased by 3 years in a certain country, how much will the happiness index change? Round to two decimal places. (e) Use the regression line to predict the happiness index of a country with a life expectancy of 85 years. Round to two decimal places.
Transcribed Image Text:A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x). The results of the regression were: j=a+bx a=-1.123 b=0.106 (a) Write the equation of the Least Squares Regression line of the form (b) Which is a possible value for the correlation coefficient, r? -0.979 O-1.975 O 1.975 O 0.979 (c) If a country increases its life expectancy, the happiness index will O decrease O increase (d) If the life expectancy is increased by 3 years in a certain country, how much will the happiness index change? Round to two decimal places. (e) Use the regression line to predict the happiness index of a country with a life expectancy of 85 years. Round to two decimal places.
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