Question

a residual plot is shown. which statements are true about the residual plot and the equation for the line of best fit for the data? choose two correct answers. the equation for the line of best fit is a good approximation for the data because the points are random, having no pattern. the equation for the line of best fit is not a good approximation for the data because the points have a curved pattern. the residual plot has a linear pattern. the points of the residual plot are spread evenly above and below the x - axis.

Explanation:

In a good - fitting regression model, the residual plot should have randomly scattered points with no pattern. If there is a curved or linear pattern in the residual plot, it indicates that the model is not a good fit. Here, the points in the residual plot have a curved pattern, so the line of best - fit is not a good approximation for the data. Also, random scatter of points would imply a good fit, but that's not the case here as there is a pattern.

Answer:

The equation for the line of best fit is not a good approximation for the data because the points have a curved pattern.