(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-0.913 O 0.913 O-1.488 O1.488 (c) If a country increases its life expectancy, the happiness index will O decrease O increase

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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:
ý=a+bx
a=0.075
b=0.148
(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-0.913
O 0.913
O-1.488
O1.488
(c) If a country increases its life expectancy, the happiness index will
O decrease
O increase
(d) If the life expectancy is increased by 5 years in a certain country, how much will the happiness
index change? Round to two decimal places.
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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: ý=a+bx a=0.075 b=0.148 (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-0.913 O 0.913 O-1.488 O1.488 (c) If a country increases its life expectancy, the happiness index will O decrease O increase (d) If the life expectancy is increased by 5 years in a certain country, how much will the happiness index change? Round to two decimal places. FEB 22 P MacBook Air esc 80 888 F1 F2 F3 F4 FS F6 F7 F8 ! @ # $ % & 1 2 3 4 6 8 Q W E R A S D FG H J ock
(c) If a country increases its life expectancy, the happiness index will
O decrease
O increase
(d) If the life expectancy is increased by 5 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 56
years. Round to two decimal places.
Use the space below to type your answer AND/OR to upload a picture of your work for all the
questions in this problem.
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Transcribed Image Text:(c) If a country increases its life expectancy, the happiness index will O decrease O increase (d) If the life expectancy is increased by 5 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 56 years. Round to two decimal places. Use the space below to type your answer AND/OR to upload a picture of your work for all the questions in this problem. FEB 22 W MacBook Air 吕0 888 esc F1 F2 F3 F4 F5 F6 F7 ! @ # $ % & 1 3 4 Q W E R A S D F G
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Given : 

Statistics homework question answer, step 1, image 1

 

a) The Least-squares regression line is 

 y^ = 0.075 + 0.148x

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