Math Problem Statement

Use this P(x)= n C_{x} * p ^ x * (1 - p) ^ (n - x) for the probability.

The Cadet is 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 fifteen 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), 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. These data are shown graphically in the scatter plot in Figure 1. Also given is the product of the mileage and the used selling price for each of the fifteen Cadets. (These products, written in the column labelled "xy", may aid in calculations.)

Used selling price, y (in thousands of dollars)

Mileage, x (in thousands)

xy

20.5

31.2

642.72

24.0

30.3

727.2

27.9

26.2

730.98

29.3

28.1

823.33

26.9

30.5

820.45

21.3

31.1

662.43

23.1

32.3

746.13

37.3

22.1

624.33

27.7

30.5

844.85

Used selling price (in thousands of collars)

15.4

34.8

535.92

22.7

31.0

703.7

23.9

28.1

671.59

Mileage (in thousands)

34.2

25.1

858.42

26.1

26.4

689.04

24.3

27.5

668.25

What is the slope of the least squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least two decimal places. (If necessary, consult a list of formulas.)

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Linear Regression
Least Squares Method

Formulas

Slope of least squares regression line

Theorems

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Suitable Grade Level

College