(a)For these data, mileages that are greater than the mean of the mileages tend to be paired with used selling prices that are ▼(Choose one) the mean of the used selling prices.(b)According to the regression equation, for an increase of one thousand miles in Cadet mileage, there is a corresponding decrease of how many thousand dollars in the used selling price? (c)From the regression equation, what is the predicted used selling price (in thousands of dollars) when the mileage is 18.2 thousand miles? (Round your answer to at least one decimal place.) (d)From the regression equation, what is the predicted used selling price (in thousands of dollars) when the mileage is 15.4 thousand miles? (Round your answer to at least one decimal place.) The Ca v a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample ofCadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (inthousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used.With the aim of predicting the used selling price from the number of miles driven, we might examine the least-squares regression line, y = 41.94 - 0.50x. Thisline is shown in the scatter plot below.Used sellingprice, y(in thousands) (in thousandsof dollars)Mileage, x23.432.715.433.840-29.527.224.327.528.029.625.926.620.931.428.325.323.230.723.927.927.130.33537.621.9Mileage, x24.330.8(in thousands)34.726.021.132.1Used selling price, y(in thous ands of dollars)

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Answered: (a)For these data, mileages that are…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2CYU

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(a)For these data, mileages that are greater than the mean of the mileages tend to be paired with used selling prices that are ▼(Choose one) the mean of the used selling prices.

(b)According to the regression equation, for an increase of one thousand miles in Cadet mileage, there is a corresponding decrease of how many thousand dollars in the used selling price?

(c)From the regression equation, what is the predicted used selling price (in thousands of dollars) when the mileage is

18.2

thousand miles? (Round your answer to at least one decimal place.)

(d)From the regression equation, what is the predicted used selling price (in thousands of dollars) when the mileage is

15.4

thousand miles? (Round your answer to at least one decimal place.)

The Ca v a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of
Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in
thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used.
With the aim of predicting the used selling price from the number of miles driven, we might examine the least-squares regression line, y = 41.94 - 0.50x. This
line is shown in the scatter plot below.
Used selling
price, y
(in thousands) (in thousands
of dollars)
Mileage, x
23.4
32.7
15.4
33.8
40-
29.5
27.2
24.3
27.5
28.0
29.6
25.9
26.6
20.9
31.4
28.3
25.3
23.2
30.7
23.9
27.9
27.1
30.3
35
37.6
21.9
Mileage, x
24.3
30.8
(in thousands)
34.7
26.0
21.1
32.1
Used selling price, y
(in thous ands of dollars)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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