Question

question #9 create a scatterplot of the following data set. then, determine whether a quadratic regression equation would be an appropriate fit to the data.

x	11	15	16	19	22	25
y	57	69	71	83	81	91

yes
no, because the scatterplot takes the shape of a straight line, a quadratic regression equation would not be an appropriate fit to the data.
no, because the scatterplot takes the shape of a parabola, a quadratic equation would not be an appropriate fit to the data.
no, because the scatterplot shows no obvious pattern.

Explanation:

Step1: Plot data points

Plot the points \((11,57)\), \((15,69)\), \((16,71)\), \((19,83)\), \((22,81)\), \((25,91)\) on a coordinate - plane.

Step2: Analyze the pattern

Visually inspect the scatter - plot. As \(x\) increases, \(y\) generally increases in a non - linear way, but not in a parabolic (quadratic) shape. The points seem to follow a more linear trend. A quadratic regression equation is appropriate when the data has a parabolic (U - shaped or inverted U - shaped) pattern. Since the scatterplot takes the shape of a straight line, a quadratic regression equation would not be an appropriate fit to the data.

Answer:

No, because the scatterplot takes the shape of a straight line, a quadratic regression equation would not be an appropriate fit to the data.