5. Find and interpret the coefficient of determination for the following data.20202020n = 20, Σ* = 55, Σy = 276, Σw = 385, Σy = 23674,i=18Σi=16. Find and interpret the coefficient of Pearson correlation for the following data.n = 8, Σ; = 152, Σ υ = 614, Σx = 3148, Σy = 51402,Ηi=1i=1i=1i=1=Lili= 1165320Στιςi=1Xiyi = 381

“Since you have asked multiple questions, we will solve the first question for you. If you want any…

Answered: 5. Find and interpret the coefficient…

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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What is the Pearson's r correlation coefficient for a sample set of data with values (1,2), (2,3), (3,4), (4,5)?
Which of the following best describes the Pearson correlation for these data?
ps-5
The accompanying table shows the earnings per share (in dollars) and the dividends per share (in dollars) for 6 companies in a recent year. Complete parts (a) through (d) below. Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient. (a) Display the data in a scatter plot. Choose the correct.graph below. OA. OB. В. Oc. OD. 3- 9- Q Q 2- 6- 6- 3- 3- 04 3. Eamings per share (S) Eamings per share ($) 0. Eamings per share (S) Eamings per share (S) (b) Calculate the sample correlation coefficient r. - X Data Table (Round to three decimal places as needed.) (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. Earnings per share, x Dividends per share, y O 1.36 1 There is V linear correlation. 4.3 0.59 3.56 8.27 1.74 2.47 Interpret the correlation. Choose the correct answer below. 1.19 0.67 1.6 2.82 O A. Increases in companies' eamings per share cause their dividends per share…
An exercise scientist wants to know if there is a relationship between explosive leg power and standing jump height. To determine if a relationship exists, a group of 30 participants' (N = 30) Leg power was measured by recording each participants' single squat weight max (in pounds). Next, each participant was asked to perform a standing jump and their Jump height was recorded (in meters). Using the variables “Leg power” and “Jump height”, conduct a Pearson's Correlation, at α = 0.05, to determine if leg power and jump height are correlated. Identify the correct null hypothesis A. H0: There is no relationship between leg power and jump height B. H0: There is a relationship between leg power and jump height C. HA: There is a relationship between leg power and jump height D. HA: There is no relationship between leg power and jump height
2. A researcher measures the relationship between temperature and freeway traffic, with a correlation of -0.61. We would say this relationship is: Negative and Moderate Negative and Strong Positive and Moderate Positive and Weak O o o O
An exercise scientist wants to know if there is a relationship between explosive leg power and standing jump height. To determine if a relationship exists, a group of 30 participants' (N = 30) Leg power was measured by recording each participants' single squat weight max (in pounds). Next, each participant was asked to perform a standing jump and their Jump height was recorded (in meters). Using the variables “Leg power” and “Jump height”, conduct a Pearson's Correlation, at α = 0.05, to determine if leg power and jump height are correlated. What does this type of correlation indicate about how leg strength and jump height change together? A. Both leg strength and jump height increase and decrease together B. There is no relationship between leg strength and jump height C. As leg strength increases, jump height decreases D. As jump height increases, leg strength decreases
Match the following sample correlation coefficients with the explanation of what that correlation coefficient means. Type the correct letter in each box. 1. r= 1 2. r = -1 3. r=-.15 4. r = .1 A. a weak positive relationship between x and y B. a weak negative relationship between x and y C. a perfect negative relationship between x and y D. a perfect positive relationship between x and y
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
What is the Pearson's correlation coefficient for a sample of data with values (2, 3), (4, 5), (6, 7), (8, 9), and (10, 11)?
A personnel manager wants to find out if a test carried out during an employee’s interview and a skills assessment at the end of basis training is a guide to performance after working for the company for one year. The table below shows the results of the interview test of 10 employees and their performance after one year. Please provide the Pearson r correlation coefficient for the indicated data. How would you rate the correlation coefficient (strong, moderate, weak)? Employee A B C D E F G H I J Interview test, x % 65 71 79 77 85 78 85 90 81 62 Performance after one year, y % 65 74 82 64 87 78 61 65 79 69
Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Is there sufficient evidence to support Correlation Results the claim that there is a linear correlation between the weights of bears and their chest sizes? When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that Correlation coeff, r: 0.959614 a measured chest size can be used to predict the weight? Use a significance level of = 0.05. Critical r: +0.2680855 P-value (two tailed): 0.000 Но: Р H1:P (Type integers or decimals. Do not round.) Identify the correlation coefficient, r. (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) O A. There is one critical value at r= . B. There are two critical values at r= ± Is there sufficient evidence to support the claim that there is a linear correlation between…

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