The bar graph shows the differences among political identification groups on the Implicit Association Test that measure levels of racial prejudice. Higher scores indicate stronger bias.

a. The data can be described by the following polynomial model of degree 3:

In this polynomial model, S represents the score on the Implicit Association Test for political identification group x. Simplify the model.

b. Use the simplified form of the model from part (a) to find the score on the Implicit Association Test for the slightly conservative political identification group. Does the model underestimate or overestimate the score displayed by the bar graph? By how much?

Transcribed Image Text:

Score on the Implicit Association Test Measuring Racial Prejudice, by Political Identification Group 6 Key: <15: little or no bias 15-35: slight bias 35-65: moderate bias Group 1 26 Very Liberal Group 2 -31 Moderately Liberal Group 3 34 Slightly Liberal Group 4 31 Neutral Group 5 37- Slightly Conservative Political Identification 42 Moderately Conservative Group 7 39 ........ ........ ***** Very Conservative