12. A study is conducted concerning automobile speeds and fuel consumption rates. The following datais collected:a. Plot these data in a scatter diagram.Speed MPG442251264821602833326661b. Compute the coefficient of correlation.ABCDFGMPGSpeedY224426512148286033663261nTotalb.G. Determine at the 0.05 significance level whether the correlation in thepopulation is greater than zero.с.c.271Linear Regression and CorrelationChapter 13

Suppose X-MPG Y-Speed Scatter plot

Answered: 12. A study is conducted concerning…

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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Calculate the coefficient of correlation for the ages of húsband and wife : Age of husband Age of wife 23 27 28 29 30 31 33 35 36 39 : 18 22 23 24 25 26 28 29 30 32
Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a =0.05. Internet Users 79.9 79.4 55.8 67.9 77.3 39.0 Award Winners 5.4 9.1 3.4 1.8 10.6 0.1 Construct a scatterplot. Choose the correct graph below. O A. В. C. D. 12- 12- 12- 12- 0+ 30 0+ 30 0- 30 90 90 30 90 90 Internet Users Internet Users Internet Users Internet Users The linear correlation coefficient is r= (Round to three decimal places as needed.)
The following table shows the values of the age and the job satisfaction of ice cream shop employees Employee Age Job Satisfaction16 918 920 722 824 426 528 626 524 722 8 a. Compute the correlation coefficient for this data.b. What is the coefficient of determination? c. Is there a significant relationship between job satisfaction and employees age? Specify the df, the critical r value, and state your decision. In other words, you do not need a full APA styled summary.
Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.01. Internet Users 80.1 78.1 57.2 66.4 76.9 38.6 O Award Winners 5.3 9.4 3.3 1.8 10.7 0.1
You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 21 19 27 20 58 31 77 31 47 24 50 26 Ho: ρ = 0Ha: ρ > 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is Greater than αα Less than (or equal to) αα The p-value leads to a decision to Reject Ho Accept Ho Do Not Reject Ho
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? 484 534 Lemon Imports Crash Fatality Rate 229 15.8 266 15.7 359 15.5 15.3 14.8 What are the null and alternative hypotheses? OA. H₂: p=0 H₁: p0 OD. Ho: p*0 H₁: p=0 OC. Ay 17+ 16- ܕ 15 14+ HHHH ▬▬▬▬▬ % do 6 200 400 600 G O D. Aу 17- 16 :|||||||* 15- 14+ 0 H °. C M o do 200 400 600 Q C sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a significance level of a = 0.05.
Determine if there is a significant correlation between the sets of data at a 10% significance level. X 63 32 28 23 39 37 43 21 y 89 64 61 57 70 68 73 56 Negative Critical Value, tcrit [three decimal accuracy] Positive Critical Value, tcrit [three decimal accuracy] Test Statistic, ttest %3D [three decimal accuracy] Test Conclusion: Reject Ho. There is enough evidence to suggest a significant (positive or negative) linear correlation between the data sets. Fail to Reject Ho. There is not enough evidence to suggest a significant (positive or negative) linear correlation between the data sets.
Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.05. Internet Users 79.0 78.3 56.9 68.7 77.2 38.6 Award Winners 5.4 9.2 3.2 1.8 10.6 0.1 Construct a scatterplot. Choose the correct graph below. O A. OB. с. 12- 12- 12,• 0- 30 30 90 Internet Users 30 90 Internet Users 30 Internet Users 90 90 Internet Users The linear correlation coefficient is r= (Round to three decimal places as needed.) Award Winners Award Winners
You wish to determine if there is a negative linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 22 20 53 25 19 30 35 23 71 26 36 21 48 25 19 28 Ho: ρ = 0Ha: ρ < 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is Greater than αα Less than (or equal to) αα The p-value leads to a decision to Accept Ho Do Not Reject Ho Reject Ho The conclusion is There is a significant linear correlation between driver age and number of driver deaths. There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths. There is a significant positive linear correlation between driver age and number of driver deaths.…
Marks secured by elevan students in two subjects are given below : Subject I Subject II : 69 64 65 63 65 62 65 64 66 59 62 Find the coefficient of correlation. : 71 68 66 67 70 71 70 73 72 65 66
The data given below are the amount of export (x in 00 million taka) of fish and amount of export (y in 00 million of taka ) in different years. X у 7 10 17 22 1. Calculate 13 12 14 16 15 24 25 28 37 40 correlation coefficient of x and y and comment. 2. Test the significance of correlation at 5% level of significance and comment
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? 484 534 Lemon Imports Crash Fatality Rate 229 15.8 266 15.7 359 15.5 15.3 14.8 OC. Ho: p=0 H₁: p=0 Construct a scatterplot. Choose the correct graph below. O A. Ay 17+ 16- 15- 14- 0 200 400 600 Q Q The linear correlation coefficient is r= (Round to three decimal places as needed.) The test statistic is t- (Round to three decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value is OB. Ax 17+ 16- 15 14+ 6 than the significance level 0.05, there % 0 200 400 400 600 Q Q G OD. H₂:p#0 H₁:…

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