MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 α=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: 228 265 359 480 532 Crash Fatality Rates: 15.9 15.6 15.4 15.3 14.9 The linear correlation coefficient r is? The test statistic t is? The P-value is?arrow_forwardListed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. 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 court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income Justice Salary 66.0 404.0 1568.01131.0 271.0 254.0 110.0 153.0 32.0 e 60 30 43 94 55 46 25 26 18 H1: p 0- 800 1600 1600 80 Court Income 1600 800 1600 800 Court Income Court Income Court Income The linear correlation coefficient is r= 0.86 (Round to three decimal places as needed.) The test statistic is t= (Round to three decimal places as needed.) The P-value is 0.0027. (Round to three decimal places as needed.) Because the P-value is less than the significance level 0.05, there is sufficient evidence to support the claim that there…arrow_forwardListed 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…arrow_forward
- Cigarette Tar and Nicotine The table below lists measured amounts (mg) of tar, carbon monoxide (CO), and nicotine in king size cigarettes of different brands (from Data Set 13 “Cigarette Contents” in Appendix B). a. Is there is sufficient evidence to support a claim of a linear correlation between tar and nicotine? b. What percentage of the variation in nicotine can be explained by the linear correlation between nicotine and tar? c. Letting y represent the amount of nicotine and letting x represent the amount of tar, identify the regression equation. d. The Raleigh brand king size cigarette is not included in the table, and it has 23 mg of tar. What is the best predicted amount of nicotine? How does the predicted amount compare to the actual amount of 1.3 mg of nicotine?arrow_forwardListed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. 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 court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income 64.0 403.0 1567.01130.0 274.0 253.0 112.0 156.0 31.0 Justice Salary 30 44 90 58 46 62 25 26 19 Ο Α. Ho:ρ =0. В. Но: р30 H4:p0 С. Но: р#0 D. Ho: p=0 H1:p=0 H4:p#0 Construct a scatterplot. Choose the correct graph below. OA. B. OC. O D. AJustice Salary 100- A Justice Salary 100- AJustice Salary 100- A Justice Salary 100- 50어 50- 504 50- 0- 0- 800 1600 800 1600 800 1600 800 1600 Court Income Court Income Court Income Court Income The linear correlation coefficient r is (Round to three decimal places as needed.) The test statistic t is…arrow_forwardListed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. 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 court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income Justice Salary 65.0 403.0 1568.01132.0 271.0 252.0 112.0 150.0 34.0 e 60 31 42 91 57 46 24 25 17 Ο Α. Η : ρ=0, B. Ho: p=0 H:p#0 H,:p>0 O C. Ho: p=0 O D. Ho: pz0 H1:p=0 H,:p<0 Construct a scatterplot. Choose the correct graph below. O A. OB. Oc. C. D. AJustice Salary 100- Q AJustice Salary 100- AJustice Salary 100- AJustice Salary 100- Q .. 50- 50- 50- . 50- 50- . 0- 0- 0- 800 1600 800 1600 800 1600 800 1600 Court Income Court Income Court Income Court Income The linear correlation coefficient is r= 0.869 (Round to three decimal…arrow_forward
- Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using a = 0.01. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? Overhead Width 7.2 7.5 9.8 9.3 8.9 8.1 Weight 119 172 248 201 205 181 Click here to view a table of critical values for the correlation coefficient. Construct a scatterplot. Choose the correct graph below. A. В. OC. D. Aweight (kg) 300- Aweight (kg) 300- Aweight (kg) 300- Aweight (kg) 300- 100+ 1004 100- 100+ 10 7 10 7 10 7 10 width (cm) width (cm) width (cm) width (cm) The linear correlation coefficient is r= (Round to three decimal places as needed.) The critical values are r= (Round to three decimal places as needed. Use a comma to separate answers as needed.) Because the absolute…arrow_forwarddetermine whether suicide and homicide rates in metropolitan areas around the country are correlated. a sample of 10 metropolitan areas with their rates (number per 100,000), of suicide and homicide. computed the correlation coefficient of 0.70.arrow_forwardListed 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:…arrow_forward
- Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. 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 court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income 65.0 406.0 1567.0 1131.0 271.0 254.0 111.0 152.0 30.0 Justice Salary 29 45 91 58 45 60 24 25 19 What are the null and alternative hypotheses? O A. Ho: p#0 O B. Ho: p=0 H₁: p=0 H₁: p0 H₁: p=0 Construct a scatterplot. Choose the correct graph below. A. B. C. ★Justice Salary AJustice Salary 100- Justice Salary D. 100- ★Justice Salary 100+ ▬▬▬▬▬▬ · ■● 50- 50- 50+ 0- 0- 800 1600 800 1600 Court Income Court Income Court Income Court Income The linear correlation coefficient is r = (Round to three decimal places as needed.) The test…arrow_forwardListed below are amounts of bills for dinner and the amounts of the tips that were left. 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. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) 69 Construct a scatterplot. Choose the correct graph below. O A. 25- 04 30 1.6 Bill Amount (S) 30.39 49.64 84.71 94.16 62.06 101.95 6.07 8.67 11.03 12.99 9.31 13.46 120 Q ✔ The linear correlation coefficient is r= (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P H₁: p (Type integers or decimals. Do not round.) The test statistic is t = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value of the linear correlation…arrow_forward
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