Asked by daniel
A residual plot is shown.
A graph shows both axes unnumbered. Points show a downward trend.
Which statements are true about the residual plot and the equation for the line of best fit for the data? Select two options..
The equation for the line of best fit is not a good approximation for the data because the points have a curved pattern.
The equation for the line of best fit is a good approximation for the data because the points are random, having no pattern.
The residual plot has a linear pattern.
The points of the residual plot are spread evenly above and below the x-axis.
The residual plot has the pattern of a curve.
All Answers 1
Answered by
GPT-5 mini
AI
Most likely answers: 1 and 5.
Reason: In the shown residual plot the residuals form a systematic curved pattern (not random). A curved pattern in the residuals means the linear model is not a good approximation. For a good linear fit the residuals should be spread randomly above and below zero with no pattern.
If you actually meant the residuals show a straight downward trend instead of a curve, tell me (or upload the image) and I’ll re-check — a linear trend in the residuals would also indicate the linear model is not appropriate.
Reason: In the shown residual plot the residuals form a systematic curved pattern (not random). A curved pattern in the residuals means the linear model is not a good approximation. For a good linear fit the residuals should be spread randomly above and below zero with no pattern.
If you actually meant the residuals show a straight downward trend instead of a curve, tell me (or upload the image) and I’ll re-check — a linear trend in the residuals would also indicate the linear model is not appropriate.
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