Let x be a random variable representing percentage change in neighborhood population in the past few...

Question

Question

Let x be a random variable representing percentage change in neighborhood population in the past few...

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 the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.)

x	=
y	=
b	=
ŷ	=	+ x

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Given:

So, we get:

So,

Answers are:

	=	12.67
	=	98.17
b	=	4.534
	=	40.733+4.534 x

Add a comment

Answer 2

Similar Homework Help Questions

Let x be a random variable representing percentage change in neighborhood population in the past few...

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...
Let x be the percentage of 16- to 19-year-olds not in school and not high school...

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 =...
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...

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...

Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x...

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...
Let x be the age of a licensed driver in years. Let y be the percentage...

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 =...
Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable...

Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for Vanguard Total Stock Index (all stocks). Let y be a random variable representing annual return for Vanguard Balanced Index (60% stock and 40% bond). For the past several years, we have the following data. x: 13 0 22 33 20 27 19 −20 −13 −10 y: 16 −5 25 21 23 20 15 −7 −4 −2 (a) Compute Σx,...

Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable...

Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for Vanguard Total Stock Index (all stocks). Let y be a random variable representing annual return for Vanguard Balanced Index (60% stock and 40% bond). For the past several years, we have the following data. x: 30 0 17 38 38 34 25 −16 −22 −22 y: 10 −4 16 14 20 20 20 −8 −1 −6 (a) Compute 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...

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...
Let x be the average number of employees in a group health insurance plan, and let...

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

Let x be a random variable that represents the batting average of a professional baseball player....

Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.338 0.310 0.340 0.248 0.367 0.269 y 3.5 7.4 4.0 8.6 3.1 11.1 (a) Find Σx, Σy, Σx2, Σy2, Σxy, and r. (Round r to three decimal places.) Σx = Σy =...

Let x be a random variable representing percentage change in neighborhood population in the past few...

Homework Answers

Add Answer to:
Let x be a random variable representing percentage change in neighborhood population in the past few...

Post as a guest

Earn Coins