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=-0.523 b=0.177 (a) Write the equation of the Least Squares Regression line of the form ŷ= 0.177 + -0.523 (b) Which is a possible value for the correlation coefficient, r? O1.936 O-0.632 O-1.936 O 0.632 (c) If a country increases its life expectancy, the happiness index will O decrease O increase (d) If the life expectancy is increased by 1 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 64 years. Round to two decimal places.
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=-0.523 b=0.177 (a) Write the equation of the Least Squares Regression line of the form ŷ= 0.177 + -0.523 (b) Which is a possible value for the correlation coefficient, r? O1.936 O-0.632 O-1.936 O 0.632 (c) If a country increases its life expectancy, the happiness index will O decrease O increase (d) If the life expectancy is increased by 1 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 64 years. 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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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:
ŷ=a+bx
a=-0.523
b=0.177
(a) Write the equation of the Least Squares Regression line of the form
j= 0.177
+| -0.523
(b) Which is a possible value for the correlation coefficient, r?
O 1.936
O -0.632
O-1.936
O 0.632
(C) If a country increases its life expectancy, the happiness index will
O decrease
O increase
(d) If the life expectancy is increased by 1 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 64
years. Round to two decimal places.
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