The bar graph shows the differences among age groups on the Implicit Association Test that measures levels of racial prejudice. Higher scores indicate stronger bias. Exercises 91-92 are based on the information in the graph. In these exercises, the possible values of the variable x are the group numbers shown in the voice balloons below the bars in the graph. Score on the Implicit Association Test 44 42 40 38 36 34 32 30 28 33 Group 1 Measuring Racial Prejudice, by Age Key: <15: little or no bias 15-35: slight bias 35-65: moderate bias 35 32 Group 2 29 Below 18-24 25-34 35-44 45-54 55-64 18 Group 3 -31 Group Group 4 5 34 Group 6 S = 0.2x³1.5x² + 3.4x + 25 42 65+ Group 7 Age Range Source: The Race Implicit Association Test on the Project Implicit Demonstration Website 1. a. The data can be described by the following polynomial model of degree 3: + (0.1x³ - 1.3x² + 3.3x + 5). In this polynomial model, S represents the score on the Implicit Association Test for age 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 group in the 45-54 age range. How well does the model describe the score displayed by the bar graph? my

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Application Exercises
The bar graph shows the differences among age groups on the
Implicit Association Test that measures levels of racial prejudice.
Higher scores indicate stronger bias. Exercises 91-92 are based
on the information in the graph. In these exercises, the possible
values of the variable x are the group numbers shown in the voice
balloons below the bars in the graph.
Score on the Implicit
Association Test
44
42
38
36
34
32
30
28
-33
Measuring Racial Prejudice, by Age
Key: <15: little or no bias
15-35: slight bias
35-65: moderate bias
Group
1
35
32
29
31
Below 18-24 25-34 35-44 45-54
18
Group Group Group Group
2
3
4
5
34
55-64
S = 0.2x³ - 1.5x² + 3.4x + 25
Group
6
42
65+
Group
7
Age Range
Source: The Race Implicit Association Test on the Project Implicit
Demonstration Website
91. a. The data can be described by the following polynomial
model of degree 3:
+ (0.1x³ - 1.3x² + 3.3x + 5).
In this polynomial model, S represents the score on the
Implicit Association Test for age 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 group in
the 45-54 age range. How well does the model describe the
score displayed by the bar graph?
ту
Transcribed Image Text:Application Exercises The bar graph shows the differences among age groups on the Implicit Association Test that measures levels of racial prejudice. Higher scores indicate stronger bias. Exercises 91-92 are based on the information in the graph. In these exercises, the possible values of the variable x are the group numbers shown in the voice balloons below the bars in the graph. Score on the Implicit Association Test 44 42 38 36 34 32 30 28 -33 Measuring Racial Prejudice, by Age Key: <15: little or no bias 15-35: slight bias 35-65: moderate bias Group 1 35 32 29 31 Below 18-24 25-34 35-44 45-54 18 Group Group Group Group 2 3 4 5 34 55-64 S = 0.2x³ - 1.5x² + 3.4x + 25 Group 6 42 65+ Group 7 Age Range Source: The Race Implicit Association Test on the Project Implicit Demonstration Website 91. a. The data can be described by the following polynomial model of degree 3: + (0.1x³ - 1.3x² + 3.3x + 5). In this polynomial model, S represents the score on the Implicit Association Test for age 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 group in the 45-54 age range. How well does the model describe the score displayed by the bar graph? ту
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