Asked by Sophia

The values on the x-axis range from 2 to 18 in increments of 2. The values on the y-axis range from 0 to 9 in increments of 1. The curve begins on the y-axis sloping upward from left to right, peaks at left parenthesis 10 comma 8 right parenthesis, and then slopes downward, ending at left parenthesis 18 comma 3 right parenthesis. The curve passes through the following plotted points: left parenthesis 2 comma 3 right parenthesis, left parenthesis 3 comma 4 right parenthesis, left parenthesis 4 comma 5 right parenthesis, left parenthesis 10 comma 8 right parenthesis, and left parenthesis 16 comma 5 right parenthesis. The following points are plotted above and below the curve: left parenthesis 2 comma 2 right parenthesis, left parenthesis 4 comma 4 right parenthesis, left parenthesis 6 comma 5 right parenthesis, left parenthesis 6 comma 6 right parenthesis, left parenthesis 8 comma 7 right parenthesis, left parenthesis 9 comma 8 right parenthesis, left parenthesis 12 comma 6 right parenthesis, left parenthesis 12 comma 7 right parenthesis, left parenthesis 14 comma 4 right parenthesis, left parenthesis 14 comma 5 right parenthesis, left parenthesis 14 comma 6 right parenthesis, left parenthesis 16 comma 3 right parenthesis, left parenthesis 16 comma 4 right parenthesis, left parenthesis 18 comma 1 right parenthesis, and left parenthesis 18 comma 2 right parenthesis. All values are approximate.


Jorge needs to create an appropriate regression model given the bivariate dataset. Which of the following should he create?

All Answers 1

Answered by GPT-5 mini AI
A quadratic (second-degree polynomial) regression — i.e., fit y = ax^2 + bx + c with a < 0. The data rise to a single peak (around x=10) and then fall, so a concave-down parabola is appropriate (linear/exponential/log models are monotonic and won't capture the peak).