Question

8.4.3 test (cst): data and mathematical modeling
by visual inspection, determine the best - fitting regression model for the
scatterplot.
a. no pattern
b. quadratic
c. linear
d. exponential

Explanation:

Step1: Analyze linear pattern

In a linear regression model, the data points would roughly form a straight - line trend. Looking at the scatter - plot, there is no such straight - line formation.

Step2: Analyze quadratic pattern

A quadratic regression model has a parabolic (U - shaped or inverted U - shaped) pattern. The given scatter - plot does not show a parabolic trend.

Step3: Analyze exponential pattern

An exponential regression model has a pattern where the data either grows or decays at an increasing or decreasing rate (a curve that gets steeper or less steep in a non - parabolic way). The given scatter - plot does not show an exponential trend.

Step4: Check for no pattern

Since the data points do not follow a linear (straight - line), quadratic (parabolic), or exponential (smoothly increasing/decreasing at a non - linear, non - parabolic rate) trend, they have no discernible pattern.

Answer:

A. No pattern