Question

Electric vehicles have become more popular in recent years due in part to advances in battery technology. How does full battery charge time relate to the driving range of the vehicle on a highway? The scatterplot and regression equation display this relationship for one specific electric vehicle from the current year. The equation of the regression line is ŷ=36.62 + 24.805x. Note that driving range varies with battery charge time, speed on the highway, and a number of other factors.Interpret the y-intercept. Does the y-intercept have any meaning in this context?

a) The y-intercept represents the initial driving range.
b) The y-intercept is not meaningful in this context.
c) The y-intercept represents the maximum driving range.
d) The y-intercept represents the battery charge time.

Answer 1

The y-intercept represents the driving range with a theoretical zero charge time, which is not a meaningful value in the context of electric vehicle battery charging. It indicates that when no time is spent charging, the predicted driving range according to the regression equation is 36.62, which is not realistic.

Step-by-step explanation:

The y-intercept in the context of the regression equation î=36.62 + 24.805x, which relates battery charge time to driving range, is 36.62. The y-intercept represents the value of the dependent variable when the independent variable (battery charge time in this case) is zero. In this context, it would mean the driving range of the vehicle on a highway when the battery charge time is zero. However, this doesn't make sense in real-world terms, as one cannot have a driving range with absolutely no charge, hence the y-intercept is not meaningful in this context.