A department of transportation's study on driving speed and miles per gallon for midsize automobiles resulted in the following data.40Speed (Miles per Hour) 305040Miles per Gallon292424252555 302323 29316025605050552121 35 2726Compute the sample correlation coefficient using the = CORREL(x,y) function in excel. (Round your answer to two decimal places.)Interpret the sample correlation coefficient.There is ---Select---gallon.relationship between the driving speed and miles per gallon. For driving speed between 25 and 60 miles per hour, higher speeds are associated with ---Select--- | miles per The following data were used in a regression study.Observation 123456 7 8600xi23457 7789Yi55st4st6046109511(a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.)ŷ =

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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…
A report states that 45% of American adults were obese. In this report, adults were considered to be 20 years of age or older. If about 71% of Americans are adults (20 and over), use the U.S. population estimate of 301 million people to calculate the number of American adults age 20 and older.
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.
A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 21 19 23 25 17 12 19 Money 106 80 87 96 80 39 92 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Họ: ? H1: ? v + O The p-value is: (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically insignificant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the store. O There is statistically significant evidence to conclude that there is a correlation between the amount of time customers spend at the store and the amount of money that they spend at the store. Thus, the regression line is…
A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below. Seeds Produced 68 56 61 Sprout Percent 60.6 69.2 = 0 48 64.7 64.6 #0 a. Find the correlation coefficient: b. The null and alternative hypotheses for correlation are: H₂: ? H₁: 2 The p-value is: 63 64.1 40 Round to 2 decimal places. 63 62 65.1 68.4 84 (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically significant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the regression line is useful. O There is statistically insignificant evidence to conclude that a plant that produces more seeds will have seeds with a lower sprout rate than a plant that produces fewer seeds. O There is statistically significant…
The data obtained in a study on the number of absences in virtual class and the final grades of seven randomly selected students from a mathematics class. The data are shown below. To determine the significance of the correlation coefficient at 0.05 level of significance, what is the calculated or computed value (CV)? Number of absences x Final in a virtual class grade y 82 6 86 15 43 9. 74 58 5 90 78 a. -1.59 b. 2.32 C. -2.32 d. 1.59
A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. 9 23 30 25 Time 12 15 13 Money 56 88 108 80 44 43 59 a. Find the correlation coefficient: r b. The null and alternative hypotheses for correlation are: He: 70 H₁: + #0 The p-value is: (Round to four decimal places) c. Use a level of significance of a 0.05 to state the conclusion of the hypothesis test in the context of the study. Round to 2 decimal places. There is statistically insignificant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the store. There is statistically significant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the store. There is statistically significant evidence to conclude…
A random sample of ten professional athletes produced the following data. The first row is the number of endorsements the athlete has and the second row is the amount of money made (in millions of dollars) by the athlete.   What is the linear correlation coefficient? Round to three decimal places. Number of Endorsements 0 3 2 1 5 5 4 3 0 4 Profit (in Millions) 2 8 7 3 13 12 9 9 3 10
Listed below are annual data for various years. The data are the numbers of cars sold (thousands) and the numbers of points scored in the Super Bowl. 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 those two variables? Would it be reasonable to expect a correlation? Car Sales 8170 8220 8510 9000 8640 8526 8273 8144 Super Bowl Points 61 70 42 76 45 55 55 53 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. 100- 8000 Car Sales 9000 The linear correlation coefficient is r= 0.193 (Round to three decimal places as needed.) The test statistic is t=0.48. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) OB. Ho: p#0 H₁: p=0 D. Ho: p=0 H₁: p 0 O B. ○ D. 100- Q 100- Q 100+ Q 50- 0+ 8000 9000 Car Sales…
I AM RESUBMITTING THIS QUESTION FOR MORE SUBPARTS. I NEED HELP FROM NUMBER 7 DOWN. THANK YOU. A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 27 22 17 30 17 19 12 23 22 Money 117 72 53 106 66 93 53 83 95 Find the correlation coefficient: r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? μ r ρ == 0H1:H1: ? r ρ μ ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically significant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the store. There is statistically significant evidence to conclude that there is a…
The blood pressure measurements of a single patient were taken by twelve different medical students and the results are listed below. 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 systolic measurements and diastolic measurements? systolic (x) diastolic (y) 137 133 139 119 122 121 127 132 130 143 141 137 95 93 100 80 88 80 82 84 81 98 103 94 С. Но: р#0 D. Ho: p=0 H1:p=0 H1:p#0 Construct a scatterplot. Choose the correct graph below. O A. ОВ. C. D. Ay 160- Ay 160- 160- 160- 120- 120- 120- 120- 80- 80- 80- 80- O. 40- 40- 40- 40- X X 0- 0- O 40 80 120 160 0- 0- 40 80 120 160 40 80 120 160 40 80 120 160 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…

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