Question

1. learning from your friends work your friend analyzes the scatter plot and decides to find the quadratic regression using a ti - 84 graphing calculator. the data set of the scatter plot is in a table. your friend uses a graphing calculator to find the equation and graph of the quadratic regression model. does the regression model appear to be a good fit? did your friend make the right choice by finding the quadratic regression? would it be necessary to find the linear or exponential regression? explain

Explanation:

Step1: Observe scatter - plot

The points seem to follow a parabolic shape.

Step2: Analyze quadratic fit

The quadratic equation $y=-0.18x^{2}+1.72x - 0.42$ closely follows the trend of the data points on the scatter - plot.

Step3: Consider other regressions

A linear regression would not capture the curvature of the data. An exponential regression is not appropriate as the data does not show exponential growth or decay characteristics.

Answer:

The quadratic regression model appears to be a good fit. The friend made the right choice. It may not be necessary to find linear or exponential regression.