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12. 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.

12. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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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 1.1594 0.3482 3.33 0.003 S=7.37702 R-Sq = 33.5% R-Sq(adj) = 30.5% (b) What is the value of the slope of the least squares regression line? Interpret the slope in the context of this situation. (c) What is the value of the coefficient of determination? Interpret the coefficient of determination in the context of this situation. (d) Interpret s in the context of this situation.
Transcribed Image Text: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 1.1594 0.3482 3.33 0.003 S=7.37702 R-Sq = 33.5% R-Sq(adj) = 30.5% (b) What is the value of the slope of the least squares regression line? Interpret the slope in the context of this situation. (c) What is the value of the coefficient of determination? Interpret the coefficient of determination in the context of this situation. (d) Interpret s in the context of this situation.
12. 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. Starting Salary (1,000 curos)
Transcribed Image Text:12. 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. Starting Salary (1,000 curos)
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