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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Use the data set below to answer the following questions where weight is your independent variable and MPG is your dependent variable: 4. Give a predicted value of yˆfor a value of the explanatory variable which is not an actual observation in your data set. 6. What is the correlation coefficient, r? Interpret r.
3. For the information given below, find the correlation coefficient and describe the type of correlation that exists between the data. Then find the line of best fit. If the correlation is strong, then predict a single data point that is higher than those found in the table. If the correlation is not strong, then state this in a sentence. The table below lists gas prices (dollars per gallon) for regular and premium gas at 8 randomly selected WAWA gas stations in the Orlando area. 2.99 3.65 2.89 3.09 3.21 2.55 2.61 Regular Gas Premium Gas 3.98 3.84 3.99 3.69 3.54 3.66 3.98 2.79 3.99
The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant linear correlation between ticket price and number of attendees. Use a significance level of 0.01 and round all values to 4 decimal places. Ticket Price Attendence 6 176 10 111 14 187 18 102 22 190 26 188 30 110 Ho: ρ = 0Ha: ρ ≠ 0 Find the p-value=
A study is conducted with a group of dieters to see if the number of grams of fat each consumes per day is related to cholesterol levels. The data are shown here. Fat grams x 6.8 5.5 8.2 10 8.6 9.1 8.6 10.4Cholesterol level y 183 201 193 283 222 250 190 218 Draw the scatter plot. Compute the value of the correlation coefﬁcient. Test the signiﬁcance of the correlation coefﬁcient at a 0.05. Determine the regression line equation. Plot the regression line on the scatter plot. Predict y for a speciﬁc value of x.
Listed below are the data for a local television station. This shows the number of weekly advertisements and the projected weekly sales resulting (adjusted by industry). Weekly Radio Spots Sales ($100s) 4 75 10 85 2 62 6 81 8 81 2 57 10 95 6 72 8 89 4 69 a. Show the data in a scatterplot, to demonstrate the relationship between the two variables. b. Compute and interpret the correlation coefficient.
Use a computer or statistical calculator to calculate the correlation coefficient in parts a through c below. Cost Miles a. The table shows the approximate distance between selected cities and the approximate cost of flights between those cities. Calculate the correlation coefficient between cost and miles. 190 958 413 3095 r= (Round to three decimal places as needed.) 256 1998 90 429 436 3008 b. This table shows the same information, except that the distance was converted to kilometers by multiplying the numbers of miles by 1.609 and rounding to the nearest kilometer. What happens to the correlation coefficient when numbers are multiplied by a positive constant? Cost Kilometers O 190 1541 413 4980 (Round to three decimal places as needed.) 256 3215 90 690 436 4840 A. The correlation is The correlation coefficient remains the same when the numbers are multiplied by a positive constant. B. The correlation is The correlation coefficient increases when the numbers are multiplied by a…
4. Given the following sample data: x 420 у 2.80 3.60 610 625 500 400 450 550 650 480 565 3.75 3.00 2.50 2.70 3.50 3.90 2.95 3.30 a. Calculate the covariance and the correlation coefficient. Discuss what they represent. b. Briefly discuss the relationship between x and y and what do these statistics tell you.
Based on the data below, answer the following question: Draw a scatter diagram that highlights the relationship between Local Tuition and Students per Faculty. The correlation coefficient indicates that the relationship between Local Tuition and Students per Faculty is _______. Select one: a. positively correlated b. not related c. negatively correlated Business School Full-Time Enrollment Students per Faculty Local Tuition ($) Foreign Tuitiion ($) English Test Work Experience Starting Salary ($) 1 Melbourne Business School 200 5 24,420 29,600 No Yes 71,400 2 University of New South Wales (Sydney) 228 4 19,993 32,582 No Yes 65,200 3 Indian Institute of Management (Ahmedabad) 392 5 4,300 4,300 No No 7,100 4 Chinese University of Hong Kong 90 5 11,140 11,140 No No 31,000 5 International University of Japan (Niigata) 126 4 33,060 33,060 Yes No 87,000 6 Asian Institute of Management (Manila) 389 5 7,562 9,000 No Yes 22,800 7 Indian Institute of Management…
A population data set produced the following information. N = 250. Ex = 9870, E y = 1452, E xy = 84,890 E = 485,590, and E = 135,115. Find the linear correlation coefficient p. Round your answer to three decimal places. p = i
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? 228 Lemon Imports Crash Fatality Rate 266 358 484 531 15.8 15.7 15.5 15.2 14.8 O C. Ho: p=0 YD. Ho: p=0 H,:p>0 H1: p#0 Construct a scatterplot. Choose the correct graph below. O A. В. Oc. C. OD. Ay 17- Ay 174 Ay 17- Ay 17- 16- 16- 16- 16- 15- 15- 15- 15- 14- 14- 14+ 14- -> 600 -> 200 400 600 200 400 600 200 400 200 400 600 The linear correlation coefficient is r= -0.971. (Round to three decimal places as needed.) The test statistic is t= - 7.036 . (Round to three decimal places as needed.) The P-value is (Round to three decimal…
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 0.01 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 66 20 75 32 44 31 44 36 19 23 65 29 61 22 58 25 71 27 Ho: ρ = 0Ha: ρ > 0 Find the Linear Correlation Coefficient r = Find the p-value p-value =
The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant linear correlation between ticket price and number of attendees. Use a significance level of 0.01 and round all values to 4 decimal places. Ticket Price Attendence 6 170 10 151 14 171 18 160 22 172 26 179 30 130 Но: р %3D 0 Ha: p = 0 Find the Linear Correlation Coefficient Find the p-value p-value = The p-value is O Less than (or equal to) a O Greater than a

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