A regression was run to determine if there Is a relationship between the happiness index (y) and life expectancy In years of a glven country (x). The results of the regresslon were: ý=a+bx a=-1.711 b=0.162 (a) Write the equation of the Least Squares Regression line of the form (b) Which is a possible value for the correlation coefficient, r? O-0.869 O-1.197 O1.197 O0.869 (C) If a country increases its life expectancy, the happiness index will O decrease Oincrease (d) If the life expectancy is increased by 4.5 years in a certain country, how much will the happiness Index change? Round to two decimal places.

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 glven country (x).
The results of the regression were:
ý=a+bx
a=-1.711
b=0.162
(a) Write the equation of the Least Squares Regression line of the form
(b) Which is a possible value for the correlation coefficient, r?
O-0.869
Q-1.197
O1.197
O 0.869
(C) If a country increases its life expectancy, the happiness index will
O decrease
Oincrease
(d) If the life expectancy is increased by 4.5 years in a certain country, how much will the happiness
Index change? Round to two decimal places.
Transcribed Image Text:your won A regression was run to determine If there Is a relationship between the happiness index (y) and life expectancy In years of a glven country (x). The results of the regression were: ý=a+bx a=-1.711 b=0.162 (a) Write the equation of the Least Squares Regression line of the form (b) Which is a possible value for the correlation coefficient, r? O-0.869 Q-1.197 O1.197 O 0.869 (C) If a country increases its life expectancy, the happiness index will O decrease Oincrease (d) If the life expectancy is increased by 4.5 years in a certain country, how much will the happiness Index change? Round to two decimal places.
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