a. Propose a straight-line model relating math score (y) to percentage (x) of students below the poverty level. Choose the correct answer b OA. Y=B₁x+e O B. y=B1x © C. y = Bo+Box te OD. Y=B₁x² +B₁ + E b. Use the method of least squares to fit the model to the data. ŷ=+x (Round to two decimal places as needed.) c. Graph the least squares line on a scatterplot of the data. Is there visual evidence of a relationship between the two variables? Is the rela Choose the correct plot below. OA. 8 200 ..... Q O O B. 200 Q O O C. 200 hacC Q O Elementary School 1 2 = 3 4 5 6 7 8 9 Math Score Reading Score 161.0 155.3 161.0 **** 162.2 158.8 161.3 160.7 166.9 177.7 166.6 160.9 161.1 152.2 194.2 161.9 173.2 158.0 162.8 178.9 Print UD. 200 Done % Below Poverty 89.7 88.6 000 86.2 www 82.2 79.9 76.3 74.7 77.3 75.8 Q O D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 8PPS
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Question
Data on average math and reading scores on a standardized test for a grade level, as well as the percentage of students below the poverty level, for a sample of 22 schools in a region are shown in the accompanying table. Complete part
through e below.
Click the icon to view the data on math and reading test scores.
a. Propose a straight-line model relating math score (y) to percentage (x) of students below the poverty level. Choose the correct answer b
A. Y=B₁x + ε
B. Y=B₁x
C. Y=B₁ + B₁x + ε
OD. Y=B₁x² +³₁ + ε
b. Use the method of least squares to fit the model to the data.
=
= + Ox
(Round to two decimal places as needed.)
c. Graph the least squares line on a scatterplot of the data. Is there visual evidence of a relationship between the two variables? Is the rela
Choose the correct plot below.
Math Score
A.
200
1740
140+
0
% Below Poverty
100
O
Math Score
B.
200
140+
0
% Below Poverty
100
Is there visual evidence of a relationship between the two variables? Is the relationship positive or negative?
Math Score
200-
140
0
% Below Poverty
100
A. As the percentage of students below the poverty level increases, math scores tend to increase. The relationship is positive.
OB. As the percentage of students below the poverty level increases, math scores tend to decrease. The relationship is negative.
Math and Reading Scores
✪
Elementary
School
1
GAW N
3
4
5
6
7
8
9
Math Score Reading Score
166.6
160.9
161.1
152.2
161.9
173.2
158.0
162.8
178.9
Print
Math Score
200-
140-
161.0
155.3
161.0
162.2
158.8
161.3
160.7
166.9
177.7
Done
0
% Below Poverty
100
% Below
Poverty
89.7
88.6
86.2
82.2
79.9
76.3
74.7
77.3
75.8
✪
Q
I
Transcribed Image Text:Data on average math and reading scores on a standardized test for a grade level, as well as the percentage of students below the poverty level, for a sample of 22 schools in a region are shown in the accompanying table. Complete part through e below. Click the icon to view the data on math and reading test scores. a. Propose a straight-line model relating math score (y) to percentage (x) of students below the poverty level. Choose the correct answer b A. Y=B₁x + ε B. Y=B₁x C. Y=B₁ + B₁x + ε OD. Y=B₁x² +³₁ + ε b. Use the method of least squares to fit the model to the data. = = + Ox (Round to two decimal places as needed.) c. Graph the least squares line on a scatterplot of the data. Is there visual evidence of a relationship between the two variables? Is the rela Choose the correct plot below. Math Score A. 200 1740 140+ 0 % Below Poverty 100 O Math Score B. 200 140+ 0 % Below Poverty 100 Is there visual evidence of a relationship between the two variables? Is the relationship positive or negative? Math Score 200- 140 0 % Below Poverty 100 A. As the percentage of students below the poverty level increases, math scores tend to increase. The relationship is positive. OB. As the percentage of students below the poverty level increases, math scores tend to decrease. The relationship is negative. Math and Reading Scores ✪ Elementary School 1 GAW N 3 4 5 6 7 8 9 Math Score Reading Score 166.6 160.9 161.1 152.2 161.9 173.2 158.0 162.8 178.9 Print Math Score 200- 140- 161.0 155.3 161.0 162.2 158.8 161.3 160.7 166.9 177.7 Done 0 % Below Poverty 100 % Below Poverty 89.7 88.6 86.2 82.2 79.9 76.3 74.7 77.3 75.8 ✪ Q I
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