Math Problem Statement
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Part 1
A study was conducted at the end of an introductory statistics course to investigate the relationship between
xequals=number
of classes skipped and
yequals=college
GPA. The accompanying table shows the data for the eight males in the class on these variables and on the study time per week (average number of hours). Complete parts a through c.
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Part 1
a. Construct a scatterplot. Does the association seem to be positive or negative?
Part 2
Choose the correct graph below.
A.
04.2015College GPAClasses Skipped
A scatterplot has a horizontal axis labeled College G P A from 0 to 4.2 in increments of 0.2 and a vertical axis labeled Study Time from 0 to 15 in increments of 1. A series of plotted points loosely forms a line that rises from left to right and passes through the points (2.6, 0), (2.9, 3), (3.2, 3) and (3.9, 12). All coordinates are approximate.
B.
04.2015College GPAClasses Skipped
A scatterplot has a horizontal axis labeled College G P A from 0 to 4.2 in increments of 0.2 and a vertical axis labeled Study Time from 0 to 15 in increments of 1. A series of plotted points loosely forms a line that falls from left to right and passes through the points (2.6, 9), (3.0, 3), (3.3, 3) and (3.9, 0). All coordinates are approximate.
C.
01504.2Classes SkippedCollege GPA
A scatterplot has a horizontal axis labeled Classes Skipped from 0 to 15 in increments of 1 and a vertical axis labeled College G P A from 0 to 4.2 in increments of 0.2. A series of plotted points loosely forms a line that falls from left to right and passes through the points (1, 3.6), (5, 2.9), (9, 2.6) and (12, 2.9). All coordinates are approximate.
Your answer is correct.
D.
01504.2Classes SkippedCollege GPA
A scatterplot has a horizontal axis labeled Classes Skipped from 0 to 15 in increments of 1 and a vertical axis labeled College G P A from 0 to 4.2 in increments of 0.2. A series of plotted points loosely forms a line that rises from left to right and passes through the points (0, 2.6), (3, 2.9), (3, 3.2) and (12, 3.9). All coordinates are approximate.
Part 3
Describe the association. Choose the correct answer below.
A.
There appears to be a positive association between the variables because
college GPAcollege GPA
tends to increase as
classes skippedclasses skipped
increases.
B.
There appears to be a negative association between the variables because
college GPAcollege GPA
tends to decrease as
classes skippedclasses skipped
increases.
Your answer is correct.
C.
There appears to be a negative association between the variables because
college GPAcollege GPA
tends to increase as
classes skippedclasses skipped
increases.
D.
There appears to be a positive association between the variables because
college GPAcollege GPA
tends to decrease as
classes skippedclasses skipped
increases.
Part 4
b. Find the prediction equation and interpret the y-intercept and slope.
Part 5
The prediction equation is
ModifyingAbove y with caretyequals=(enter your response here)plus+(enter your response here)x.
(Round to three decimal places as needed.)
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Scatterplots
Linear Regression
Formulas
Slope formula
Y-intercept formula
Theorems
-
Suitable Grade Level
High School