find the residual values, and use the graphing calculator tool to make a residual plot.\ndoes the residual…

find the residual values, and use the graphing calculator tool to make a residual plot.\ndoes the residual plot show that the line of best fit is appropriate for the data?\nno, the points are in a curved pattern.\nno, the points are evenly distributed about the x - axis.\nyes, the points are in a linear pattern.\nyes, the points have no pattern.

find the residual values, and use the graphing calculator tool to make a residual plot.\ndoes the residual plot show that the line of best fit is appropriate for the data?\nno, the points are in a curved pattern.\nno, the points are evenly distributed about the x - axis.\nyes, the points are in a linear pattern.\nyes, the points have no pattern.

Answer

Explanation:

Step1: Calculate residual values

The formula for residual is ( \text{Residual}=\text{Given}-\text{Predicted} ). For ( x = 1 ): ( - 2.7-(-2.84)=-2.7 + 2.84 = 0.14 ) For ( x = 2 ): ( - 0.9-(-0.81)=-0.9 + 0.81=-0.09 ) For ( x = 3 ): ( 1.1 - 1.22=-0.12 ) For ( x = 4 ): ( 3.2-3.25=-0.05 ) For ( x = 5 ): ( 5.4 - 5.28 = 0.12 )

Step2: Analyze residual plot criteria

A good - fit line (appropriate line of best fit) has a residual plot with points that have no pattern (randomly distributed). A curved pattern in the residual plot indicates a non - linear relationship that the linear line of best fit does not capture. Evenly distributed points about the ( x ) - axis is a property of a good residual plot (but the option description is wrong as evenly distributed about ( x ) - axis with no pattern is good). A linear pattern in the residual plot indicates that there is still a linear trend not accounted for by the current line of best fit.

Answer:

Yes, the points have no pattern.