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 :
- The 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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