A random sample of 5 college students is selected and their grades inExample 3:Mathematics and statistics are found to be2 34 5Mathematics 85 60 73 40 901Statistics93 75 65 50 | 80Calculate Pearman's rank correlation coefficient.

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Answered: A random sample of 5 college students…

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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A study was done to look at the relationship between number of partners college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Partners 7 8 6 1 6 6 4 GPA 1.4 1.5 1.4 3 2.3 1.5 2.9 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? r ρ μ Incorrect == 0 Ha:Ha: ? r ρ μ Incorrect ≠≠ 0 Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. You may want to reference the 95% Critical Values of the Sample Correlation Coefficient. There is statistically insignificant evidence to conclude that there is a correlation between the number of partners students have had in their lifetimes and their GPA. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that a student who has had more partners will have a lower GPA than a…
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The owner of a chain of fruit shakes stores would like to study the correlation between atmospheric temperature and sales during the summer season. A random sample of 12 days is selected with the results given as follows: Day 1 2 3 4 5 6 7 8 9 10 11 12 Temperature in (F) 79 76 78 84 90 83 93 94 97 85 88 82 Total Sales(Units) 147 143 147 168 206 155 192 211 209 187 200 150 Does it appear there is a relationship between atmospheric temperature and sales at .05 level of significance.
1.) The data in the table below show years of teaching experience and annual salary in dollars for 12 randomly selected mathematics instructors in Illinois colleges/ universities for the 2013/2014 school year. Is there a linear correlation between a mathematics instructor’s years of experience and his or her annual salary? Number of Years 7 9 6 7 11 12 11 3 3 7 9 1 Salary (in Dollars) $48,897.00 $62,866.00 $54,585.00 $56,611.00 $53,541.00 $53,541.00 $47,027.00 $47,970.00 $46,668.00 $48,029.00 $46,735.00 $45,000.00 THE OTHER QUESTION 2.) Does incubation or gestation time affect an animal’s average lifespan? Some animals have lifespans that average well over 100 years. The following table lists animals that have some of the longest lifespans on the earth. Is there a correlation between an animal’s gestation/incubation period and its average lifespan in years? Animal: Nile crocodile, Aldabra giant tortoise, Lake sturgeon, Galápagos tortoise, Bowhead whale Average Lifespan (in…
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A study of bone density on 5 random women at a hospital produced the following results. Age 37 45 49 57 65 Bone Density 350 340 335 325 320 step 1: Calculate the correlation coefficient, r. Round your answer to six decimal places. step 2: Calculate the correlation coefficient, r. Round to 3 decimal places. step 3: positive, negative, or no correlation
A random sample of ten professional athletes produced the following data. The first row is the number of endorsements the athlete has and the second row is the amount of money made (in millions of dollars) by the athlete.   What is the linear correlation coefficient? Round to three decimal places. Number of Endorsements 0 3 2 1 5 5 4 3 0 4 Profit (in Millions) 2 8 7 3 13 12 9 9 3 10
A random sample of ten professional athletes produced the following data. The first row is the number of endorsements the athlete has and the second row is the amount of money made (in millions of dollars) by the athlete.   Is the linear correlation coefficient significant? Set up the appropriate hypothesis to test the significance. Number of Endorsements 0 3 2 1 5 5 4 3 0 4 Profit (in Millions) 2 8 7 3 13 12 9 9 3 10 Group of answer choices H0: r = 0 and Ha: r ≠ 0 H0: r ≠ 0 and Ha: r = 0 H0: ρ = 0 and Ha: ρ ≠ 0 H0: ρ ≠ 0 and Ha: ρ = 0
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A random sample of 5 college students is selected and their grades in Example 3: Mathematics and statistics are found to be 2 3 4 5 Mathematics 85 60 73 40 90 93 75 65 50 80 1 Statistics Calculate Pearman's rank correlation coefficient.