Topic 3 Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. 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. 70- 65 60 55 50- 45 40 35 30 25 15 20 Number of Semesters 10 a. 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 data. SE Coef Predictor Constant Semesters Coef T. 34.018 4.455 7.64 0.000 1.1594 0.3482 3.33 0.003 S = 7.37702 R-Sq = 33.5% R-Sq(adj) = 30.5% b. 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 Starting Salary (1,000 euros)

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Тopic 3
Show all your work. Indicate clearly the methods you use, because you will be scored on the
correctness of your methods as well as on the accuracy and completeness of your results and
explanations.
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.
70
65
60
55
50-
45-
40-
35
30
25
10 15 20
Number of Semesters
a. 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 data.
Predictor
Coef
SE Coef
Constant
34.018
4.455
7.64
0.000
Semesters
L.1594
0.3482
3.33
0.003
S = 7.37702
R-Sq = 33.5%
R-Sq(adj) = 30.5%
b. 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
Starting Salary (1,000 euros)
Transcribed Image Text:Тopic 3 Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. 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. 70 65 60 55 50- 45- 40- 35 30 25 10 15 20 Number of Semesters a. 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 data. Predictor Coef SE Coef Constant 34.018 4.455 7.64 0.000 Semesters L.1594 0.3482 3.33 0.003 S = 7.37702 R-Sq = 33.5% R-Sq(adj) = 30.5% b. 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 Starting Salary (1,000 euros)
revised scatterplot identifying the major of each person is shown below.
70
65
60
55
Major
• Business
• Physics
- Chemistry
50-
45
40
35
30
25
10
Number of Semesters
15
20
c. Based on the people in the sample, describe the association between starting salary and
number of semesters for the business majors.
Starting Salary (1,000 euros)
Transcribed Image Text:revised scatterplot identifying the major of each person is shown below. 70 65 60 55 Major • Business • Physics - Chemistry 50- 45 40 35 30 25 10 Number of Semesters 15 20 c. Based on the people in the sample, describe the association between starting salary and number of semesters for the business majors. Starting Salary (1,000 euros)
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