Let x be the percentage of 16- to 19-year-olds not in school and not high school graduates. Let y be the reported violent crimes per 1000 residents. Six small cities in Arkansas (Blytheville, El Dorado, Hot Springs, Jonesboro, Rogers, and Russellville) reported the following information about x and y. x 24.5 19.0 18.5 14.9 19.0 17.5 y 12.9 4.8 8.6 1.3 0.8 3.6 Complete parts (a) through (e), given Σx = 113.4, Σy = 32, Σx2 = 2192.76, Σy2 = 278.7, Σxy = 663.92, and r ≈ 0.808. (a) Draw a scatter diagram displaying the data.(b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r = (c) Find x, and y. Then find the equation of the least-squares line y hat = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) x = y = y hat = + x
Let x be the percentage of 16- to 19-year-olds not in school and not high school...
Let x be the age of a licensed driver in years. Let y be the percentage of all fatal accidents (for a given age) due to failure to yield the right of way. For example, the first data pair states that 5% of all fatal accidents of 37-year-olds are due to failure to yield the right of way. x 37 47 57 67 77 87 y 5 8 10 17 33 42 Complete parts (a) through (e), given Σx =...
Let x be per capita income in thousands of dollars. Let y be the number of medical doctors per 10,000 residents. Six small cities in Oregon gave the following information about x and y. x 8.2 9.7 10.0 8.0 8.3 8.7 y 9.5 18.7 20.2 10.2 11.4 13.1 Complete parts (a) through (e), given Σx = 52.9, Σy = 83.1, Σx2 = 469.91, Σy2 = 1253.59, Σxy = 751.48, and r ≈ 0.991. (a) Draw a scatter diagram displaying the...
Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). x 30 43 31 47 23 40 34 52 y 30 21 22 13 29 17 21 14 Complete parts (a) through (e), given Σx = 300, Σy = 167, Σx2 = 11,908, Σy2 = 3761, Σxy = 5885, and r ≈ −0.888. (a) Draw...
It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. x 1 2 5 6 y 48 42 33 26 Complete parts (a) through (e), given Σx = 14, Σy =...
Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a random variable representing crime rate (crimes per 1000 population). A random sample of six Denver neighborhoods gave the following information. x 32 3 11 17 7 6 y 172 36 132 127 69 53 Σx = 76; Σy = 589; Σx2 = 1,528; Σy2 = 72,003; Σxy = 10,024 (a) Find x, y, b, and the equation of...
Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. x 3 7 15 32 70 y 40 35 30 26 18 Use a calculator to verify that Σx = 127, Σx2 = 6207, Σy = 149, Σy2 = 4725, and Σxy = 2907. Compute r. (Round your answer to three decimal places.) r = 3
Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). x 29 44 33 47 23 40 34 52 y 32 20 26 13 29 17 21 14 Complete parts (a) through (e), given Σx = 302, Σy = 172, Σx2 = 12,064, Σy2 = 4036, Σxy = 6066, and r ≈ −0.902. (a) Draw...
How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y be the average weight of the pony (in kilograms). X: 3, 6, 12, 18, 22 Y: 60, 95,140, 170, 183 (b) Use a calculator to verify that Σx = 61, Σx2 = 997, Σy = 648, Σy2 = 94,614, and Σxy = 9,516. compute R (round to 3 decimal places)
x 3 7 15 40 74 y 40 35 30 28 19 Use a calculator to verify that Σx = 139, Σx2 = 7359, Σy = 152, Σy2 = 4870, and Σxy = 3341. Compute r. (Round your answer to three decimal places.) r =
Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a random variable representing crime rate (crimes per 1000 population). A random sample of six neighborhoods gave the following information. x 29 4 11 17 7 6 y 176 40 132 127 69 53 Σx = 74, Σy = 597, Σx2 = 1352, Σy2 = 73,699, and Σxy = 9,676 (b) Find x, y, b, and the equation of...