**Exploration of Linear Correlation Coefficients**### OverviewIn this exercise, we will explore the concept of linear correlation by examining four data sets. You are required to compute the linear correlation coefficient, denoted as $ r $, for each data set.### Task(a) **Compute the linear correlation coefficient for each data set.****Instructions:**- Calculate the linear correlation coefficient $ r $ for the first data set.- Round your answer to three decimal places.- Enter your computations in the provided answer box and check your answer.### Data TableBelow are the data points provided for each of the four data sets:#### Data Set 1| x | y ||----|------|| 10 | 10.04 || 8 | 8.95 || 13 | 9.58 || 9 | 10.81 || 11 | 10.33 || 14 | 11.96 || 6 | 9.24 |#### Data Set 2| x | y ||----|------|| 10 | 11.14 || 8 | 10.14 || 13 | 10.74 || 9 | 10.77 || 11 | 11.26 || 14 | 10.10 || 6 | 8.13 |#### Data Set 3| x | y ||----|------|| 10 | 9.46 || 8 | 8.77 || 13 | 12.74 || 9 | 9.11 || 11 | 9.83 || 14 | 8.47 || 6 | 7.26 |#### Data Set 4| x | y ||----|------|| 8 | 8.58 || 8 | 7.76 || 8 | 9.71 || 8 | 8.84 || 8 | 10.84 || 8 | 9.04 || 8 | 7.25 |**Note:** The data table clearly shows the given x and

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Answered: (a) Compute the linear correlation…

(a) Compute the linear correlation coefficient for each data set. The linear correlation coefficient for the first data set is r= (Round to three decimal places as needed.)

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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Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports Crash Fatality Rate 229 266 359 480 530 15.9 15.6 15.5 15.3 14.9 Construct a scatterplot. Choose the correct graph below. OA. В. Ос. D. Ay 17- Ay 17- Ay 17- Ay 17- 16- 16- 16- 16- 15- 15- 15- 15- 14+ 14+ 14- 14+ 200 400 600 200 400 600 200 400 600 200 400 600 The linear correlation coefficient r is (Round to three decimal places as needed.)
Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports Crash Fatality Rate 231 266 359 480 532 15.9 15.7 15.4 15.2 14.8 Ay 17- Ay 17- Ay 17+ Ay 17- 16- 16- 16- 16- 15- 15- 15- 15- X 14- 14+ 14- 14- 200 400 600 200 400 600 200 400 600 200 400 600 The linear correlation coefficient r is (Round to three decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value is than the significance level 0.05, there sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a…
Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports Crash Fatality Rate 228 264 358 482 531 15.9 15.7 15.5 15.3 14.9
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Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports Crash Fatality Rate 231 265 358 483 530 15.8 15.7 15.5 15.2 14.8 What are the null and alternative hypotheses? OA. Ho: p 0 H₁ p=0 OC. Ho p=0 H₁: p>0 Construct a scatterplot. Choose the correct graph below. OA. Ay 17- 16- Q do ° 15- ° 14+ 0 200 400 600 The linear correlation coefficient is r= (Round to three decimal places as needed.) B. Ho: p=0 H₁p 0 OD. Ho: p=0 H₁: p<0 B. COD. Ay 17- Ay 17- Ay 17+ Q о 16- 16- 16- Q 0 ° ° 15- 15- ° G 15- G 14- 14- 14+ 0 200 400 600 0 200 400 600 0 200 400 600
For a data set of brain volumes (cm3) and IQ scores of eleven males, the linear correlation coefficient is requals 0.883.Use the table available below to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation? The critical values are (Type integers or decimals. Do not round. Use a comma to separate answers as needed.)