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=-1.692 b=0.117 (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 -0.649 O 1.32 O 0.649 O-1.32 (c) If a country increases its life expectancy, the happiness index will O increase O decrease (d) If the life expectancy is increased by 2.5 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 75 years. Round to two decimal places.

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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=-1.692
b=0.117
(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 -0.649
O 1.32
O 0.649
O-1.32
(c) If a country increases its life expectancy, the happiness index will
O increase
O decrease
(d) If the life expectancy is increased by 2.5 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 75
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: ý=a+bx a=-1.692 b=0.117 (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 -0.649 O 1.32 O 0.649 O-1.32 (c) If a country increases its life expectancy, the happiness index will O increase O decrease (d) If the life expectancy is increased by 2.5 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 75 years. Round to two decimal places.
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