The college placement office is developing a model to relate grade point average (GPA) to starting salary for liberal arts majors. Ten recent graduates have been randomly selected, and their graduating GPAs and starting salaries were recorded. GPA and Starting SalaryGPAStarting Salary (Thousands of Dollars)2.827.63.645.23.127.53.241.23.727.93.338.92.348.13.948.73.344.32.930.5 Step 1 of 2:Find the value of the test statistic for testing whether there is a linear relationship between starting salary and GPA. Round your answer to two decimal places, if necessary. Step 2 of 2:Is there evidence of a linear relationship between starting salary and GPA? Test at the 0.05 level.

The question is about correlation.Given :To find :Test whether there a linear relationship between…

Answered: The college placement office is…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 3E

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Question

The college placement office is developing a model to relate grade point average (GPA) to starting salary for liberal arts majors. Ten recent graduates have been randomly selected, and their graduating GPAs and starting salaries were recorded.

GPA and Starting Salary

GPA	Starting Salary (Thousands of Dollars)
2.8	27.6
3.6	45.2
3.1	27.5
3.2	41.2
3.7	27.9
3.3	38.9
2.3	48.1
3.9	48.7
3.3	44.3
2.9	30.5

Step 1 of 2:

Find the value of the test statistic for testing whether there is a linear relationship between starting salary and GPA. Round your answer to two decimal places, if necessary.

Step 2 of 2:

Is there evidence of a linear relationship between starting salary and GPA? Test at the 0.05 level.

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