Use the regression model and graph from Example 1 to find the [math]x[/math]- and [math]y[/math]-intercepts of the graph. Interpret their meanings. Then, use the equation to predict the car’s fuel efficiency at the speeds of [math]20[/math] mph, [math]65[/math] mph, [math]75[/math] mph, and [math]90[/math] mph. Determine whether each of these predictions is an interpolation or an extrapolation, and whether any of the predictions seem unreasonable within the context of the problem.[br][br]The data table from Example 1 (lower right) shows a car’s speed in miles per hour and the car’s fuel efficiency in miles per gallon for each speed.[br][br]A quadratic regression equation that models this data is given by [math]m(x) = –0.0146x^2 + 1.1802x + 9.1356[/math], where [math]x[/math] is speed in mph and [math]m(x)[/math] is fuel efficiency in mpg. A scatter plot of the data with the graph of this model is shown.