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You may need to use the appropriate technology to answer this question. Do students with higher college grade point averages (GPAS) earn more than those graduates with lower GPAS?+ Consider the following hypothetical college GPA and salary data (10 years after graduation). O GPA Salary ($) 2.22 72,000 Salary ($) 2.29 48,000 2.57 72,000 2.59 64,000 2.77 88,000 2.85 96,000 3.12 133,000 3.35 130,000 3.66 3.68 162,000 (a) Develop a scatter diagram for these data with college GPA as the independent variable. 180000 160000 140000 120000 100000 157,000 80 000 60 000 40 000 20 000 : ". S 0 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 GPA Salary ($) 180000 160000 140000 120000 100000 80 000 60 000 40 000 20000 : . What does the scatter diagram indicate about the relationship between the two variables? The scatter diagram indicates no apparent relationship between GPA and salary. O The scatter diagram indicates a nonlinear relationship between GPA and salary. The scatter diagram indicates a negative linear relationship between GPA and salary. The scatter diagram indicates a positive linear relationship between GPA and salary. . 2 0 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 GPA Salary ($) 180000 160000 140000 120000 100000 80 000 60 000 40 000 20 000 : .. 0 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 GPA Salary ($) 180 000 r 160000 140000 120000 100000 80 000 60 000 40 000 20 000 . . 2 05 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 GPA @

You may need to use the appropriate technology to answer this question. Do students with higher college grade point averages (GPAS) earn more than those graduates with lower GPAS?+ Consider the following hypothetical college GPA and salary data (10 years after graduation). O GPA Salary ($) 2.22 72,000 Salary ($) 2.29 48,000 2.57 72,000 2.59 64,000 2.77 88,000 2.85 96,000 3.12 133,000 3.35 130,000 3.66 3.68 162,000 (a) Develop a scatter diagram for these data with college GPA as the independent variable. 180000 160000 140000 120000 100000 157,000 80 000 60 000 40 000 20 000 : ". S 0 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 GPA Salary ($) 180000 160000 140000 120000 100000 80 000 60 000 40 000 20000 : . What does the scatter diagram indicate about the relationship between the two variables? The scatter diagram indicates no apparent relationship between GPA and salary. O The scatter diagram indicates a nonlinear relationship between GPA and salary. The scatter diagram indicates a negative linear relationship between GPA and salary. The scatter diagram indicates a positive linear relationship between GPA and salary. . 2 0 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 GPA Salary ($) 180000 160000 140000 120000 100000 80 000 60 000 40 000 20 000 : .. 0 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 GPA Salary ($) 180 000 r 160000 140000 120000 100000 80 000 60 000 40 000 20 000 . . 2 05 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 GPA @

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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You may need to use the appropriate technology to answer this question. Do students with higher college grade point averages (GPAS) earn more than those graduates with lower GPAS?+ Consider the following hypothetical college GPA and salary data (10 years after graduation). GPA Salary ($) 2.22 72,000 2.29 Salary ($) 2.57 72,000 2.59 64,000 48,000 2.77 88,000 2.85 96,000 3.12 133,000 3.66 3.35 130,000 180 000 160 000 140 000 120 000 3.68 162,000 (a) Develop a scatter diagram for these data with college GPA as the independent variable. 100 000 80 000 60 000 40 000 20 000 157,000 : : 0 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 GPA Salary ($) 180 000 160 000 140 000 120 000 100 000 80 000 60 000 40 000 20 000 : . What does the scatter diagram indicate about the relationship between the two variables? O The scatter diagram indicates no apparent relationship between GPA and salary. O The scatter diagram indicates a nonlinear relationship between GPA and salary. O The scatter diagram indicates a negative linear relationship between GPA and salary. ● The scatter diagram indicates a positive linear relationship between GPA and salary. : 0 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 GPA Salary ($) 180 000 160 000 140 000 120 000 100 000 80 000 60 000 40 000 20 000 : 0 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 GPA Salary ($) 180 000 160 000 140 000 120 000 100 000 80 000 60 000 40 000 20 000 : 0 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 GPA
Transcribed Image Text:You may need to use the appropriate technology to answer this question. Do students with higher college grade point averages (GPAS) earn more than those graduates with lower GPAS?+ Consider the following hypothetical college GPA and salary data (10 years after graduation). GPA Salary ($) 2.22 72,000 2.29 Salary ($) 2.57 72,000 2.59 64,000 48,000 2.77 88,000 2.85 96,000 3.12 133,000 3.66 3.35 130,000 180 000 160 000 140 000 120 000 3.68 162,000 (a) Develop a scatter diagram for these data with college GPA as the independent variable. 100 000 80 000 60 000 40 000 20 000 157,000 : : 0 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 GPA Salary ($) 180 000 160 000 140 000 120 000 100 000 80 000 60 000 40 000 20 000 : . What does the scatter diagram indicate about the relationship between the two variables? O The scatter diagram indicates no apparent relationship between GPA and salary. O The scatter diagram indicates a nonlinear relationship between GPA and salary. O The scatter diagram indicates a negative linear relationship between GPA and salary. ● The scatter diagram indicates a positive linear relationship between GPA and salary. : 0 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 GPA Salary ($) 180 000 160 000 140 000 120 000 100 000 80 000 60 000 40 000 20 000 : 0 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 GPA Salary ($) 180 000 160 000 140 000 120 000 100 000 80 000 60 000 40 000 20 000 : 0 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 GPA
(b) Use these data to develop an estimated regression equation that can be used to predict annual salary 10 years after graduation given college GPA. (Let x = GPA, and let y = salary (in $). Round your numerical values to the nearest integer.) ŷ = (c) At the 0.05 level of significance, does there appear to be a significant statistical relationship between the two variables? (Use the F test.) State the null and alternative hypotheses. ọ Ho: Bo #0 Ha: Bo = 0 = 0 Ho: Bo = Ha: Bo # 0 Ho: B₁ ≥ 0 Ha: B₁ <0 Ho: B₁ * 0 Ha: ₁: = 0 O Ho: B₁: = 0 Ha: B₁ #0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject Ho. There is not a significant statistical relationship between GPA and salary. O Reject Ho. There is not a significant statistical relationship between GPA and salary. O Do not reject Ho. There is a significant statistical relationship between GPA and salary. Reject Ho. There is a significant statistical relationship between GPA and salary.
Transcribed Image Text:(b) Use these data to develop an estimated regression equation that can be used to predict annual salary 10 years after graduation given college GPA. (Let x = GPA, and let y = salary (in $). Round your numerical values to the nearest integer.) ŷ = (c) At the 0.05 level of significance, does there appear to be a significant statistical relationship between the two variables? (Use the F test.) State the null and alternative hypotheses. ọ Ho: Bo #0 Ha: Bo = 0 = 0 Ho: Bo = Ha: Bo # 0 Ho: B₁ ≥ 0 Ha: B₁ <0 Ho: B₁ * 0 Ha: ₁: = 0 O Ho: B₁: = 0 Ha: B₁ #0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject Ho. There is not a significant statistical relationship between GPA and salary. O Reject Ho. There is not a significant statistical relationship between GPA and salary. O Do not reject Ho. There is a significant statistical relationship between GPA and salary. Reject Ho. There is a significant statistical relationship between GPA and salary.
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