To earn full credit for this question, use your own sheet of paper to solve the problem, showing all steps of your work. 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=-1.02 b=0.163 (a) Write the equation of the Least Squares Regression line of the form +1 (b) Which is a possible value for the correlation coefficient, r? O-0.641 O0.641 O-1.04 O1.04 (c) If a country increases its life expectancy, the happiness index will O decrease O increase

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(d) If the life expectancy is increased by 1.5 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 62
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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I
U X,
<>
田。
Transcribed Image Text:(d) If the life expectancy is increased by 1.5 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 62 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. To upload a picture of your work, use a cellphone camera or a free scanning app (such as Adobe Scan, Simple Scanner, Tiny Scan, ..), download the picture or document to your own computer via email, and attach your document using the "attach file" sign (paper clip symbol) on the menu bar below. Please do not use "insert/edit image" (picture sign) to upload your file. Edit - Insert - Formats I U X, <> 田。
To earn full credit for this question, use your own sheet of paper to solve the problem, showing all steps of
your work.
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=-1.02
b=0.163
(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-0.641
O 0.641
O-1.04
O1.04
(c) If a country increases its life expectancy, the happiness index will
O decrease
O increase
Transcribed Image Text:To earn full credit for this question, use your own sheet of paper to solve the problem, showing all steps of your work. 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=-1.02 b=0.163 (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-0.641 O 0.641 O-1.04 O1.04 (c) If a country increases its life expectancy, the happiness index will O decrease O increase
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