Fueleconomy.gov gives the city and highway fuel economy for all makes and models of vehicles back to 1984. The table
gives the city and highway fuel economy (mpg) for a random sample of ten 2021 vehicles
a. Find the equation of the LSRL. Write it below.
b. Find and interpret s.
C. Find and interpret the value of m2
Answers
The equation of the Least Square Regression Line which models the data for the city and highway fuel economy and interpreted values of it's parameters are :
Ŷ = 1.264X + 6.084The slope, s = 1.264, per unit increase in miles per gallon of 2021 car models. The intercept Value = 6.084, which is the least value of highway fuel economy a 2021 car model could have.The Least Square Regression Line produces a fitted model of the linear relationship between a given set of data.
Using technology such as Excel or a linear regression calculator, the linear model in the form y = a + bx produced by the data in the table attached is Ŷ = 1.264X + 6.084 ;
Where ; Ŷ = Predicted value of highway fuel economy. X = predictor variable, City Fuel economy. 1.264 = slope value; which is the rate of change in highway fuel economy per unit change in City Fuel economy. 6.084 = Intercept, which is the value of, highway Fuel economy when the city fuel economy is Zero.Therefore, the Least Square Regression Line shows that the there is a positive linear association between City and highway Fuel economy.
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