A residual plot is shown Which statements are true about the residual plot and t

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? Check all that apply. a The equation for the line of best fit is not a good approximation for the data because the points have a curved pattern. O The equation for the line of best fit is a good approximation for the data because the points are random, having no pattern. (0,0) The residual plot has a linear pattern. n The points of the residual plot are spread evenly above and below the x-axis. 2 The residual plot has the pattern of a curve. The equation for the line of best fit is not a good

Explanation / Answer

The difference between the observed value of the dependent variable (y) and the predicted value () is called the residual (e).

Each data point has one residual.

Residual = Observed value - Predicted value
e = y -

residual plot is a graph that shows the residuals on the vertical axis and the independent variable on the horizontal axis.

If the points in a residual plot are randomly dispersed around the horizontal axis, a linear regression model is appropriate for the data; otherwise, a non-linear model is more appropriate.

A random pattern of residuals supports a linear model.  

As we can see the residual plot show is non-random and has an curve,we can say that the equation for the line of the best fit is not a good approximation for the data becouse points have a curved pattern.

The residual plot has the pattern of a curve.

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