### Data Set and Scatterplot AnalysisUse the given data set to complete parts (a) through (c) below. (Use α = 0.05.)| x | 10 | 8 | 13 | 9 | 11 | 14 | 6 | 4 | 12 | 7 | 5 ||----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|| y | 9.13| 8.14| 8.75| 8.76| 9.26| 8.11| 6.13| 3.09| 9.13| 7.26| 4.74|Click here to view a table of critical values for the correlation coefficient.#### a. Construct a ScatterplotChoose the correct graph below:- **Option A:** Shows a linearly decreasing pattern with evenly spaced points descending from the top left to the bottom right of the graph. - **Option B:** Displays a linearly increasing pattern with points evenly spaced ascending from the bottom left to the top right. - **Option C:** Illustrates a similar increasing trend as Option B with slight variations in point placement. - **Option D:** Displays a non-linear pattern with a curved distribution, starting low, rising to a peak, and then declining.

The independent variable is x and the dependent variable is y.

Answered: Use the given data set to complete…

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 a computer or statistical calculator to calculate the correlation coefficient in parts a through c below. Cost Miles a. The table shows the approximate distance between selected cities and the approximate cost of flights between those cities. Calculate the correlation coefficient between cost and miles. 190 958 413 3095 r= (Round to three decimal places as needed.) 256 1998 90 429 436 3008 b. This table shows the same information, except that the distance was converted to kilometers by multiplying the numbers of miles by 1.609 and rounding to the nearest kilometer. What happens to the correlation coefficient when numbers are multiplied by a positive constant? Cost Kilometers O 190 1541 413 4980 (Round to three decimal places as needed.) 256 3215 90 690 436 4840 A. The correlation is The correlation coefficient remains the same when the numbers are multiplied by a positive constant. B. The correlation is The correlation coefficient increases when the numbers are multiplied by a…
Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) 10 8 13 11 14 4 12 7 y 7.46 6.76 12.73 7.11 7.82 8.85 6.07 5.39 8.15 6.43 5.73 Click here to view a table of critical values for the correlation coefficient. a. Construct a scatterplot. Choose the correct graph below. OA. В. Oc. OD. Ay 16- AY 16- Ay 16- Ay 16- 12- 12- 12- 12- 8- 8- 8- 8- 000.. 4. .... 4- 4- 4- 0- 0- 0- 0- 8 12 16 12 8 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.
Use the data values in the table below to calculate the correlation between the variables x and y. Submit the link through Canvas to either a photo of your work on paper or a link to a google sheet. x y 5 22.15 6 23.28 7 28.31 8 30.24 9 30.57 10 33.5 11 33.03 12 36.16 Give your answer to three decimal places.
Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) 10 13 9. 11 14 4 12 7 y 9.15 8.13 8.74 8.77 9.27 8.11 6.12 3.09 9.14 7.26 4.75 Click here to view a table of critical values for the correlation coefficient. a. Construct a scatterplot. Choose the correct graph below. O A. В. C. D. Ay 10- Ay 10- Ay 10- Ay 10- 8- 8- 8- 8- 6- 6- 6- 6- 4- 4- 4- 4- 2- 2- 2- 2- X 0+ 4 0+ 4 0+ 4 0+ 4 12 16 8 12 16 8 12 16 8 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…
Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) 10 8. X 13 12.75 9 11 14 4 12 8.15 y 7.47 6.78 7.12 7.81 8.84 6.08 5.38 6.42 5.74 Click here to view a table of critical values for the correlation coefficient. a. Construct a scatterplot Choose the correct graph below. O A. OB. OC. O D. Ay 16- Ay 16+ Ay 16- AY 16- 12- 12- 12+ 12- 8- 8- 8- 8- 4- 4- 4- 4. 0- 4 0- 8 12 16 12 16 0- 4 0- 12 16 4 8 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 corelation 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. O A. There is sufficient evidence to support the claim of a nonlinear correlation between…
Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) 10 8 13 11 14 4 12 7 y 9.14 8.13 8.73 8.77 9.25 8.11 6.13 3.11 9.13 7.27 4.74 Click here to view a table of critical values for the correlation coefficient. a. Construct a scatterplot. Choose the correct graph below. A. В. C. D. Ay 10- 10- 10- 10- 8- 8- 8- 8- 6- 6- 6- ... 4- 4- 4- 4- 2- 2- 2- 2- 04 4 0- 0- 0- 4 12 16 8 12 16 4 8 8 12 16 b. Find the linear correlation coefficient, r, then detemine 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, detemine 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 nonlinear correlation between the two…
Use the data values in the table below to calculate the correlation between the variables x and y. Submit the link through Canvas to either a photo of your work on paper or a link to a google sheet. X 3 4 5 6 7 8 9 10 11 y 9.06 8.24 9.02 7.5 9.18 9.96 7.04 6.52 9 Give your answer to three decimal places.
Match the correlation coefficients with their scatterplots. Select the letter of the scatterplot below which corre- sponds to the correlation coefficient. (Click on image for a larger view.) ? 1. r= 0.76 ? 2. r=-0.74 ? 3. r= 0.22 ? 4. r= -0.97 A B C D
Use the data values in the table below to calculate the correlation between the variables x and y.Submit the link through Canvas to either a photo of your work on paper or a link to a google sheet. x y 3 19.13 4 21.24 5 19.65 6 18.36 7 17.57 8 18.98 9 16.99 10 16.7 Give your answer to three decimal places. __?__
Use the data in the table, which shows the average annual salaries (both in thousands of dollars) for public school principals and teachers in the U.S. for 11 years. Apply what you have learned in the previous tab to complete this graded lab questions. 1. Repeat the steps from tab #1 using this data to construct a scatter plot graph and calculate the correlation coefficient R. (Recall the corelation coefficient is R and not R Teachers y Principalsx 77.8 43.7 78.4 43.8 80.8 45.0 R= 80.5 45.6, 2. Does the R value represent a positive, negative or no correlation between the salaries ol the teachers and principals? As teacher salaries increase, what happens to prinicipal salaries? 10 11 81.5 45.9 84.8 48.2 12 13 87.7 49,3 3. Write the equation of the regression line for the data below. The equation is y= 14 91.6 51.3 52.9 Teachers y 15 16 95.7 54.4 COD 54.2 =D0.5873x-2.0s07o R=0.995, 17 95.7 4. Use the regression equation that you found in exercise #3 to predict the average annual salary…
Use the data values in the table below to calculate the correlation between the variables x and y. Hint: Use your calculator to do this, you do not need to compute this by hand. y 4 19.34 5 19.35 6 20.86 7 24.57 8 23.08 9 23.89 10 28.6 Give your answer to three decimal places.
Use the data values in the table below to calculate the correlation between the variables x and y. Submit the link through Canvas to either a photo of your work on paper or a link to a google sheet. y 4 27.22 5 23.83 6 23.94 7 22.85 8 20.96 9 17.07 10 14.68 11 16.49 12 14.6 Give your answer to three decimal places.

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