the equation $hat{y}=0.3418x + 14.3818$ models the fuel economy of a car, in mpg, where $x$ is the cars…

the equation $hat{y}=0.3418x + 14.3818$ models the fuel economy of a car, in mpg, where $x$ is the cars speed in mph. according to the regression equation, what is the approximate fuel economy for this vehicle at 65 mph? about 22 mpg about 37 mpg about 46 mpg about 49 mpg

the equation $hat{y}=0.3418x + 14.3818$ models the fuel economy of a car, in mpg, where $x$ is the cars speed in mph. according to the regression equation, what is the approximate fuel economy for this vehicle at 65 mph? about 22 mpg about 37 mpg about 46 mpg about 49 mpg

Answer

Answer:

B. about 37 mpg

Explanation:

Step1: Substitute speed value

Given $\hat{y}=0.3418x + 14.3818$ and $x = 65$. Substitute $x = 65$ into the equation: $\hat{y}=0.3418\times65+14.3818$.

Step2: Calculate multiplication part

$0.3418\times65 = 22.217$.

Step3: Calculate addition part

$\hat{y}=22.217+14.3818=36.5988\approx37$ mpg.