Essential Statistics for the Behavioral Sciences
2nd Edition
ISBN: 9781506386300
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter 13, Problem 22CAP
To determine
To find: The best fit regression line for the provided data set.
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A regression was run to determine if there is a relationship between the happiness index (y) and lifeexpectancy 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 ( circleone)d. If the life expectancy is increased by 1 year in a certain country, how much will the happinessindex change? Round to two decimal places.e. Use the regression line to predict the happiness index of a country with a life expectancy of 85years. Round to two decimal places.-
An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts (a)
Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.
In a study of 2000 model cars, a researcher computed the least-squares regression line of price (in collars) on horsepower. He obtained the following equation of this regression line:
Price = -7000 + 170 horsepower
Based on the least-squares regression line, what would we predict the cost of a 2000 model car with horsepower equal to 230 to be (assuming no extrapolation error). Please show calculations as tutorial on how to answer the question.
Chapter 13 Solutions
Essential Statistics for the Behavioral Sciences
Ch. 13 - Prob. 1FPCh. 13 - Prob. 2FPCh. 13 - Prob. 3FPCh. 13 - Prob. 4FPCh. 13 - Prob. 5FPCh. 13 - Prob. 6FPCh. 13 - Prob. 7FPCh. 13 - Prob. 8FPCh. 13 - Prob. 9FPCh. 13 - Prob. 10FP
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