Pterosaur Data Humerus, x 26 31 25 23 19 Wingspan, y Wingspan, y 685 690 702 717 681 646 631 622 614 508 1.4 40 1.3 33 1.2 30 1.0 28 0.8 26 (a) Find the equation of the least-squares regression line for the data. Round constants to the nearest hundredth. (b) Use the equation from part (a) to determine, to the nearest centimeter, the projected wingspan of a pterosaur if its humerus is 52 centimeters. cm Humerus, x 29 35 24 21 16
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- The data below shows car model and the color of vehicles sold at a Car dealership.Hyundai Honda Toyota Daihatsu Subaru TotalRed 2015.40118.648613.518*54.5950Black 1516.9569.511814.8698.6275.0555White 2224.651513.842621.621212.5457.35**Total 57 32 50 29 17 185Chi Sq =1.37 + 0.64 + 4.18 + 0.00 + 0.04 +0.22 + 1.30 + *** + 0.02 + 0.75 +0.28 + 0.10 + 0.89 + 0.02 + 0.75 = 10.47DF = ****, P-Value = *****No cells with expected counts less than 5a) Carefully define the null and alternative hypotheses of the χ2 test underlying the generation of the above table.The data below shows car model and the color of vehicles sold at a Car dealership.Hyundai Honda Toyota Daihatsu Subaru TotalRed 2015.40118.648613.518*54.5950Black 1516.9569.511814.8698.6275.0555White 2224.651513.842621.621212.5457.35**Total 57 32 50 29 17 185Chi Sq =1.37 + 0.64 + 4.18 + 0.00 + 0.04 +0.22 + 1.30 + *** + 0.02 + 0.75 +0.28 + 0.10 + 0.89 + 0.02 + 0.75 = 10.47DF = ****, P-Value = *****No cells with expected counts less than 5a) Carefully define the null and alternative hypotheses of the χ2 test underlying thegeneration of the above table.b) Fill in the missing values ‘*’, ‘**’, ‘***’, ‘****’ and ‘*****’.c) What is the conclusion of this test at the 5% level of significance? Give reasons for youranswer.d) Name two limitations of this test.The data below shows car model and the color of vehicles sold at a Car dealership.Hyundai Honda Toyota Daihatsu Subaru TotalRed 2015.40118.648613.518*54.5950Black 1516.9569.511814.8698.6275.0555White 2224.651513.842621.621212.5457.35**Total 57 32 50 29 17 185Chi Sq =1.37 + 0.64 + 4.18 + 0.00 + 0.04 +0.22 + 1.30 + *** + 0.02 + 0.75 +0.28 + 0.10 + 0.89 + 0.02 + 0.75 = 10.47DF = ****, P-Value = *****No cells with expected counts less than 5 b) Fill in the missing values ‘*’, ‘**’, ‘***’, ‘****’ and ‘*****’. c) What is the conclusion of this test at the 5% level of significance? Give reasons for your answer. d) Name two limitations of this test
- The data below shows car model and the color of vehicles sold at a Car dealership. Hyundai Honda Toyota Daihatsu Subaru TotalRed 20 11 6 8 5 50 15.40 8.648 13.51 * 4.59Black 15 6 18 9 7 55 16.95 9.51 14.86 8.62 5.05 White 22 15 26 12 5 ** 24.65 13.84 21.62 12.54 7.35Total 57 32 50 29 17 185Chi Sq = 1.37 + 0.64 + 4.18 + 0.00 + 0.04 + 0.22 + 1.30 + *** + 0.02 + 0.75 + 0.28 + 0.10 + 0.89 + 0.02 + 0.75 = 10.47 DF = ****, P-Value = *****No cells with…The higher education department of Institute recorded data on the number of studentsenrolled in the different study majors for the years 2018 and 2019. Study Major 2018 2019 Statistics 1700 2250 Business Law 700 900 Accounting 1300 1450 Economics 750 1000 Finance 1450 1758 Marketing Management 1069 1189 Auditing 360 351 a) Use an appropriate graphical technique or chart to compare the number of enrolment in 2018and 2019 of the different study major. Display the chart. b) Use an appropriate graphical technique or chart to display the percentage value of the numberof enrolment of the different study major in 2018 and 2019. Display the chart.The following table gives the 2012 total payroll (in millions of dollars) and the percentage of games won during the 2012 season by each of the National League baseball teams. Team Total Payroll (millions of dollars) Percentage of Games Won Arizona Diamondbacks 83 46 Atlanta Braves 89 35 Chicago Cubs 110 57 Cincinnati Reds 111 34 Colorado Rockies 93 39 Los Angeles Dodgers 264 51 Miami Marlins 59 38 Milwaukee Brewers 99 39 New York Mets 95 53 Philadelphia Phillies 127 33 Pittsburgh Pirates 82 58 San Diego Padres 92 40 San Francisco Giants 164 46 St. Louis Cardinals 112 59 Washington Nationals 156 45 Compute the coefficient of determination, ρ2, with percentage of games won as the dependent variable. (Note that this data set belongs to a population.) Carry out all calculations exactly, and round the final answer to three decimal places.
- You work for an insurance company and are studying the relationship between types of crashes and the vehicles involved. As part of your study, you randomly select 3589 vehicle crashes and organize the resulting data as shown in the contigency table. At α=0.10, can you conclude that the type of crash depends on the type of vehicle? Complete parts (a) through (d). Vehicle Type of crash Car Pickup Sport utility Single-vehicle 866 323 340 Multiple-vehicle 1145 487 428 Question content area bottom Part 1 (a) Identify the claim and state the null and alternative hypotheses. H0: The type of crash and the type of vehicle are ▼ independent dependent Ha: The type of crash and the type of vehicle are ▼ dependent independent The ▼ alternative hypothesis null hypothesis is the claim. H0: The type of crash and the type of vehicle are Ha: The type of crash and the type of vehicle are Determine…You work for an insurance company and are studying the relationship between types of crashes and the vehicles involved. As part of your study, you randomly select 3589 vehicle crashes and organize the resulting data as shown in the contigency table. At α=0.10, can you conclude that the type of crash depends on the type of vehicle? Complete parts (a) through (d). Vehicle Type of crash Car Pickup Sport utility Single-vehicle 866 323 340 Multiple-vehicle 1145 487 428 Question content area bottom Part 1 (a) Identify the claim and state the null and alternative hypotheses. H0: The type of crash and the type of vehicle are ▼ independent dependent . Ha: The type of crash and the type of vehicle are ▼ dependent independent . The ▼ alternative hypothesis null hypothesis is the claim.How long does it take to finish the 1161-mile Iditarod Dog Sled Race from Anchorage to Nome, Alaska? Finish times (to the nearest hour) for 27 dogsled teams are shown below. 283 304 305 288 290 288 289 297 299 332 330 309 328 307 328 285 291 295 298 306 315 310 318 318 320 333 321 Make a dotplot for the data above regarding the finish time (number of hours) for the Iditarod Dog Sled Race. Select the appropriate dotplot below.
- The data below represent the number of streaming hours listened to per day by a sample of 9 people. FindThe table below shows the average annual tuition and fees at private and public 4-year colleges and universities for the school years 2009-2010 through 2014-2015. (Source: National Center for Education Statistics). Year Private Public2009-2010 31,448 15,0142010-2011 32,617 15,9182011-2012 33,674 16,8052012-2013 35,074 17,4742013-2014 36,193 18,3722014-2015 37,385 19,203 a. Using 1 for 2009-2010, 2 for 2010-2011, and so on, find the equation of the regression line for the tuition and fees at private 4-year colleges and universities, based on the year. b. Using 1 for 2009-2010, 2 for 2010-2011, and so on, find the correlation coefficient for the tuition and fees at public 4-year colleges and universities, based on the year.The following table shows the approximate number of wireless telephone subscriptions in a certain country for recent years.