The following table shows the length, in centimeters, of the humerus and the total wingspan, in centimeters, of several pterosaurs, which are extinct flying reptiles. (A graphing calculator is recommended. Pterosaur Data Humerus, x Wingspan, y Humerus, x Wingspan, y 25 589 26 596 30 598 32 599 24 536 22 532 21 529 20 473 18 465 15 443 1.4 38 1.1 35 1.0 35 0.9 28 0.8 24 (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 50 centimeters. cm
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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 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 table lists the average gestation period (in days) and longevity (in years) for the following mammals, as reported in The World Almanac and Book of Facts 2006. Mammal Gestation, y(days) Longevity, x(years) Mammal Gestation, y(days) Longevity, x(years) Baboon 187 20 Camel 406 12 Bear, black 219 18 Cat 63 12 Bear, grizzly 225 25 Chimpanzee 230 20 Bear, polar 240 20 Chipmunk 31 6 Beaver 105 5 Cow 284 15 Buffalo 285 15 Deer 201 8 Dog 61 12 Monkey 164 15 Donkey 365 12 Moose 240 12 Elephant 645 40 Mouse 21 3 Elk 250 15 Opossum 13 1 Fox 52 7 Pig 112 10 Giraffe 457 10 Puma 90 12 Goat 151 8 Rabbit 31 5 Gorilla 258 20 Rhinoceros 450 15 Guinea pig 48 4 Sea lion 350 12 Hippopotamus 238 41 Sheep 154 12 Horse 330 20 Squirrel 44 10 Kangaroo…The table lists the average gestation period (in days) and longevity (in years) for the following mammals, as reported in The World Almanac and Book of Facts 2006. Mammal Gestation, y(days) Longevity, x(years) Mammal Gestation, y(days) Longevity, x(years) Baboon 187 20 Camel 406 12 Bear, black 219 18 Cat 63 12 Bear, grizzly 225 25 Chimpanzee 230 20 Bear, polar 240 20 Chipmunk 31 6 Beaver 105 5 Cow 284 15 Buffalo 285 15 Deer 201 8 Dog 61 12 Monkey 164 15 Donkey 365 12 Moose 240 12 Elephant 645 40 Mouse 21 3 Elk 250 15 Opossum 13 1 Fox 52 7 Pig 112 10 Giraffe 457 10 Puma 90 12 Goat 151 8 Rabbit 31 5 Gorilla 258 20 Rhinoceros 450 15 Guinea pig 48 4 Sea lion 350 12 Hippopotamus 238 41 Sheep 154 12 Horse 330 20 Squirrel 44 10 Kangaroo…
- 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
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