Identify the slope of the least-squares regression line, and interpret the slope in context. An independent researcher received the data from the newspaper and conducted a new analysis by separating the data into three groups based on the major of each person. A revised scatterplot identifying the major of each person is shown below.

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Identify the slope of the least-squares regression line, and
interpret the slope in context.
An independent researcher received the data from the
newspaper and conducted a new analysis by separating the data
into three groups based on the major of each person. A revised
scatterplot identifying the major of each person is shown below.
70
65
60
5
Major
• Business
• Physics
- Chemistry
50
45
40
35
30
25
5
10 15 20
Number of Semesters
Part C
Based on the people in the sample, describe the association
between starting salary and number of semesters for the
business majors.
Part D
Based on the people in the sample, compare the median starting
salaries for the three majors.
Part E
Based on the analysis conducted by the independent researcher,
how could the newspaper report be modified to give a better
description of the relationship between the number of
semesters and the starting salary for the people in the sample?
Starting Salary (1,000 euros)
Transcribed Image Text:Identify the slope of the least-squares regression line, and interpret the slope in context. An independent researcher received the data from the newspaper and conducted a new analysis by separating the data into three groups based on the major of each person. A revised scatterplot identifying the major of each person is shown below. 70 65 60 5 Major • Business • Physics - Chemistry 50 45 40 35 30 25 5 10 15 20 Number of Semesters Part C Based on the people in the sample, describe the association between starting salary and number of semesters for the business majors. Part D Based on the people in the sample, compare the median starting salaries for the three majors. Part E Based on the analysis conducted by the independent researcher, how could the newspaper report be modified to give a better description of the relationship between the number of semesters and the starting salary for the people in the sample? Starting Salary (1,000 euros)
A newspaper in Germany reported that the more semesters
needed to complete an academic program at the university, the
greater the starting salary in the first year of a job. The report
was based on a study that used a random sample of 24 people
who had recently completed an academic program. Information
was collected on the number of semesters each person in the
sample needed to complete the program and the starting salary,
in thousands of euros, for the first year of a job. The data are
shown in the scatterplot below.
Part A
70
65
60
55
50
4
40
35-
30
25
10
15
20
Number of Semesters
Does the scatterplot support the newspaper report about
number of semesters and starting salary? Justify your answer.
The table below shows computer output from a linear regression
analysis on the date
SE Coef
Predictor
Constant
Coef
34.018
4.455
7.
Semesters
1.1594
0.3482
3.
S = 7.37702
R-Sq = 33.5%
R-Sq(adj) = 31
Starting Salary (1,000 euros)
Transcribed Image Text:A newspaper in Germany reported that the more semesters needed to complete an academic program at the university, the greater the starting salary in the first year of a job. The report was based on a study that used a random sample of 24 people who had recently completed an academic program. Information was collected on the number of semesters each person in the sample needed to complete the program and the starting salary, in thousands of euros, for the first year of a job. The data are shown in the scatterplot below. Part A 70 65 60 55 50 4 40 35- 30 25 10 15 20 Number of Semesters Does the scatterplot support the newspaper report about number of semesters and starting salary? Justify your answer. The table below shows computer output from a linear regression analysis on the date SE Coef Predictor Constant Coef 34.018 4.455 7. Semesters 1.1594 0.3482 3. S = 7.37702 R-Sq = 33.5% R-Sq(adj) = 31 Starting Salary (1,000 euros)
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