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: y^=a+bx ; a=-0.423 , b=0.07 a. Write the equation of the Least Squares Regression line. b. Find the value for the correlation coefficient, r? c. If a country increases its life expectancy, the happiness index will Increase or decrease ( circle one) d. If the life expectancy is increased by 1 year 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 85 years. Round to two decimal places.-

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section: Chapter Questions
Problem 6GP: If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use...
icon
Related questions
icon
Concept explainers
Question

 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: y^=a+bx ; a=-0.423 ,
b=0.07

a. Write the equation of the Least Squares Regression line.
b. Find the value for the correlation coefficient, r?
c. If a country increases its life expectancy, the happiness index will Increase or decrease ( circle
one)
d. If the life expectancy is increased by 1 year 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 85
years. Round to two decimal places.-

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning