igure 3Answer the following questions about the relationships between pairs of variables and the values of r, the sample correlation coefficient. The same response maybe the correct answer for more than one question.10.0 8.0 Figure 4(a) For which data set is the sample correlation coefficient r closest to 0?the , f data set V(b) Which data set indicates the strongest negative linear relationship between itstwo variables?the x, y data set(c) For which data set is the sample correlation coefficient requal to - 1?none of the data sets ▼(d) Which data set has an apparent positive, but not perfect, linear relationshipbetween its two variables?the m, n data set Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are displayed with the same scale.) Each data set is made up ofsample values drawn from a population.X y1.0 7.32.0 8.93.0 7.04.0 5.65.0 7.66.0 4.87.0 4.88.0 7.19.0 6.210.0 4.1 Figure 1Wt1.0 8.42.0 4.83.0 10.14.05.95.0 2.36.0 4.77.09.28.0 3.9011-10-1948-X6-9.0 9.710.0 6.9 Figure 311V1.0 1.0 10-2.0 2.03.0 3.0OOOO4.0 4.05.0 5.06.06.07.07.08.0 8.09.0 9.010.0 10.0 Figure 2n1.0 3.12.0 4.33.0 3.64.0 5.05.0 4.36.0 7.37.0 5.98.0 7.61110-87-654.32-1-8.7460411 X9.0 7.010.0 8.0 Figure 48 9 10 11

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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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11. 1.0 8.3 1.0 4.0 10- 9- 10- 9 2.0 5.2 2.0 5.7 8- 3.0 9.8 3.0 6.9 7 6- 7- 4.0 6.1 6+ 54 4+ x 3 4.0 4.3 5- 5.0 1.7 5.0 5.2 4- 6.0 | 5.1 3 6.0 8.1 2- 2 7.0 | 5.7 1- 7.0 9.2 1- 8.0 3.8 8.0 6.7 9.0 9.6 9.0 8.9 10.0 6.6 Figure 1 10.0 8.0 Figure 2 m 114 3.3 10- 1.0 1.0 7.7 10+ 9- 2.0 4.5 9- 2.0 6.9 3.0 3.8 3.0 8.1 6- 4.0 6.1 5.0 7.0 4.0 5.2 5- 5- 5.0 | 4.3 4- 6.0 4.5 4. 3 2- 6.0 7.1 7.0 2 5.9 7.0 5.2 8.0 7.6 8.0 | 3.6 9.0 6.9 9.0 4.6 10.0 7,7 | Figure 3 10.0 3.1 Figure 4 Answer the following questions about the relationships between pairs of variables and the values of r, the sample cc be the correct answer for more than one question. Explanation Check O oololole
Suppose a car's city miles per gallon rating can be determined by the car's weight. The means and standard deviations of these variables and the correlation coefficient between them are reported in the following table: What proportion of the variability in cars' miles per gallon ratings is explained by the least squares line with weight?
Find the line of best fit for the ordered pairs 11, 52 and13, 82. What is the correlation coefficient for these data?Why is this result reasonable?
16. In comparing the relationship between rainfall and hot dog sales, a student finds the correlation to be r = -0.56. What is the best description of the relationship between these two sets of data? Group of answer choices Negative and Strong Positive and Weak Negative and Moderate Positive and Moderate
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
Given two sets of data X and Y, what does a Spearman's Correlation coefficient of 1 indicate about the relationship between X and Y?
Suppose we have the following paired observations of variables X and Y: X Y 8 0 4 10 12 20 Draw the scatter plot comparing X and Y. Calculate the values of the sample covariance and sample correlation between X and Y. Using this information, how would you characterize the relationship between X and Y ?
Based on the scatter plot below on data from Central Harlem, would you estimate the correlation coefficient to be positive, negative, or close to 0? Select the correct correlation and corresponding explanation. Household Income vs. Serious Crime Rate (per 1,000 residents) CentralHarlem Data Scatter Plot: 22- 21- 20- 19- 18- 17 16- 15 32 34 36 38 40 42 Household_Income (thousands) Positive; As the household income increases, the serious crime rate decreases. A. Negative; As the household income increases, the serious crime rate decreases. B. Positive; As the household income increases, the serious crime rate also increases. OC. Negative; As the household income increases, the serious crime rate also increases. D. Close to 0; There is no linear correlation between household income and serious crime rate. E. A Moving to another question will save this response. Question 24 of 25 MacBook Air Serious crime_rate
the accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Age, x Vocabulary size, y1 32 2603 5904 11005 19006 25003 7305 22002 2504 13006 2400 1. Calculate the sample correlation coefficient r. 2. Describe the type of correlation, if any, and interpret the correlation in the context of the data. 3. Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let α=0.01.
The numbers of pass attempts and passing yards for seven professional quarterback for a recent year are listed in the table below. Round all answers to the nearest 1000th. Pass attempts (x) 449 565 528 197 670 351 218 Passing Yards (y) 3265 4018 3669 1141 5177 2362 1737 Calculate the sample correlation coefficient, r. Describe the type of correlation coefficient and interpret the correlation in the context of the data.

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