Consider the following sample data for two variables.X1979.9.y219a. Calculate the sample covariance.b. Calculate the sample correlation coefficient.c. Describe the relationship between x and y....a. Sxy(Round to two decimal places as needed.)b. rxy =(Round to two decimal places as needed.)c. Choose the correct answer below.O A. There is a perfect positive linear relationship between x and y.B. There is a negative linear relationship between x and y.OC. There is a positive linear relationship between x and y.O D. There is a perfect negative linear relationship between x and y.

Answered: Image /qna-images/answer/b0152f96-5d92-446b-a908-15a0d097e38c.jpg

Answered: Consider the following sample data for…

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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Use the following sample data for variables y and x to complete parts a through c. 48 68 83 79 53 89 82 44 93 5 6 96 D 6 4 3 4 6 4 4 2 a. Develop a scatter plot for these data and describe what, if any, relationship exists. b. (1) Compute the correlation coefficient. (2) Test to determine whether the correlation is significant at the significance level of 0.10. Conduct this hypothesis test using the p-value approach. (3) Compute the regression equation based on these sample data and interpret the regression coefficients. c. Test the significance of the overall regression model using a significance level equal to 0.10. a. Choose the correct graph below. O A. B. Oc. OD. 150 150 150T 150 ---- There appears to be V linear relationship between x and y. b. First compute the c |(Round to is needed.) r= no Now test to determine on is significant at the signifi tested. a positive A. Ho: ρ 0, H. a negative b. First compute the correlation coefficient r. r= (Round to three decimal places as…
4 2. Which of the following correlation coefficients would correspond to a strong linear relationship in a data set? OA. O OB. 0.5 O c. 0.9 OD 100
Use the given data set to complete parts (a) through (c) below. 8 6.77 13 12.74 10 12 8.15 9. 11 14 6 4. y 7.46 7.11 7.81 8.85 6.08 5.39 6.41 5.73 Click here to view a table of critical values for the correlation coefficient. a. Construct a scatterplot. Choose the correct graph below. Ba O A. OB. c. OD. in Ay 16- Av 16- Ay 16 16- 12- 12- 12- 12- 8- 8- 8- .. 8- 4- 4- 4- 4- 0+ 4. 0- 12 8 12 16 8. 16 4. 8. 0. 0- 4. 8. 12 16 0. 4 8 12 16
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Q-1. You are given the following data for variables x and y: X Y 3.0 1.5 2.0 0.5 2.5 1.0 3.0 1.8 2.5 1.2 4.0 2.2 1.5 0.4 1.0 0.3 2.0 1.3 2.5 1.0 b. Compute the correlation coefficient for these sample data. Indicate what the correlation coefficient measures.
Jim and Larry run a soup stand. The data below represents the sales of soup that they had on 8 randomly selected days, along with the high temperature on that day. a) Create a scatter diagram for this data set and comment on whether there is a positive or negative relationship between these variables.b) Calculate the correlation coefficient between temperature and sales.c) Does a linear relationship exist between these variables? Explain to me why or why not this is the case.d) Using excel, calculate the least squares regression equation for this data set. e) Using your equation, predict the soup sales on a day where the temperature is 29 degrees.f) Interpret the slope of this equation.g) Can we use this data set and regression equation to predict the sales on a day when the average temperature is 102 degrees? Why or why not?h) What is the R-squared for this equation? How do you interpret that R-squared?
O REGRESSION AND CORRELATION Linear relationship and the sample correlation coefficient Shas Below are four bivariate data sets and the scatter plot for each. (Note that each scatter plot is displayed on the same scale.) Each data set is made up of sample values drawn from a population. y 11 10- 94 S- 1.0 6.7 1.0 7.4 10- 2.0 9.4 2.0 9.1 3.0 4.0 3.0 7.0 4.0 9.1 6+ 4.0 5.3 5- 5.0 4.7 5.0 8.0 4. 3 2- 7.0 6.4 6.0 1.7 6.0 5.1 7.0 | 4.6 8.0 10.1 9.0 5.1 8.0 6.5 9.0 5.7 10.0 3.7 10.0 8.0 | Figure 1 Figure 2 t 1.0 3.2 1.0 1.0 2.0 2.0 2.0 4.2 3.0 3.3 3.0 3.0 4.0 4.9 4.0 4.0 5.0 4.5 5.0 5.0 6.0 6.8 6.0 6.0 7.0 5.8 7.0 7.0 8.0 7.3 8.0 8.0 9.0 6.6 9.0 9.0 10.0 8.2 Figure 3 10.0 10.0 Figure 4 Explanation Check e 2021 McGraw-H Education. All Rights Reserved. Terms of Use I Privacy Accessibilty P Type here to search
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
Which of the following is necessary to estimate the population parameter of a Pearson's correlation coeffcient properly? A. A curvilinear relationship B. Nominal Data C. Random sampling D. Ranked scores
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
Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) х 10 8 13 11 14 4 12 У 9.14 8.14 8.74 8.77 9.25 8.09 6.14 3.11 9.13 7.26 4.74 Click here to view a table of critical values for the correlation coefficient. a. Construct a scatterplot. Choose the correct graph below. ici O A. B. OC. OD. Ay 10- Ay 10- Ay 10- Ay 10- 8- 8- 8- 8- 6- 6- 6- 6- 4- 4- 4- 4- 2- 2- 2- 2- 0- 0+ 0+ 4 0+ 4 12 16 8 12 16 12 16 4 12 16 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r= (Round to three decimal places as needed.) Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below. A. There is insufficient evidence to support the claim of a linear correlation between…
Refer to the accompanying scatterplot. The four points in the lower left corner are measurements from women, and the four points in the upper right corner are from men. Complete parts (a) through (e) below. 12- 3- :: 3 6 12 b. Examine the pattern of the four points in the upper right corner (from men) only, and subjectively determine whether there appears to be a correlation between x and y for men. Choose the correct answer below. O A. There appears to be a linear correlation because the points form an obvious pattern. B. There does not appear to be a linear correlation because the points do not form a line. O C. There does not appear to be a linear correlation because the points form an obvious pattern. O D. There appears to be a linear correlation because the points form a line. c. Find the linear correlation coefficient using only the four points in the lower left corner (for women). Will the four points in the upper right corner (for men) have the same linear correlation…

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