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We have been given that:

Residual plot from a linear regression analysis that used data from all$50$ states in a recent year

A residual plot shows "Percent of high school graduates taking the SAT" along the horizontal axis in increments of $10$and "Residual" along the vertical axis in increments of $25$. Horizontal line is drawn at $0$on vertical axis across the graph. Dots are scattered across the graph on either side of the line and on the vertical axis between negative $30$and $35$. A dot is shown before $20$on the horizontal axis and between negative $70$on the vertical axis.

Explain how the residual plot indicates whether or not the Linear condition for performing slope inference is met.

The variability of the residuals in the vertical direction is roughly the same from the smallest to the largest -value, indicating that the relationship between mean SAT score and percent taking is not linear.

The residual plot shows a clear curvature, confirming that the relationship between mean SAT score and percent taking is linear.

The residual plot has significant curvature, indicating that the relationship between mean SAT score and percent taking is not linear.

The residual plot has significant curvature, indicating that the relationship between mean SAT score and residual values is not linear.

The variability of the residuals in the vertical direction is roughly the same from the smallest to the largest -value, confirming that the relationship between mean SAT score and percent taking is linear.