Use a calculator or a computer for the following regression problems. Quadratic Versus Linear The average retail price for a used convertible Corvette depends on the age of the car, as shown in the accompanying table for the summer of 2012 (Edmund's, www.edmunds.com). Table for Exercise 113 Age (yr) Price ($) 1 42,235 2 38,261 3 32,686 4 29,414 5 26,750 6 25,125 7 22,444 8 18,112 9 16,517 a. Use both linear regression and quadratic regression on a graphing calculator to express the price as a function of the age of the car. b. Plot the data, the linear function, and the quadratic function on your calculator. Judging from what you see. which function appears to fit the data better? c. Predict the price of an 11–year-old car using both the linear function and the quadratic function.
Use a calculator or a computer for the following regression problems. Quadratic Versus Linear The average retail price for a used convertible Corvette depends on the age of the car, as shown in the accompanying table for the summer of 2012 (Edmund's, www.edmunds.com). Table for Exercise 113 Age (yr) Price ($) 1 42,235 2 38,261 3 32,686 4 29,414 5 26,750 6 25,125 7 22,444 8 18,112 9 16,517 a. Use both linear regression and quadratic regression on a graphing calculator to express the price as a function of the age of the car. b. Plot the data, the linear function, and the quadratic function on your calculator. Judging from what you see. which function appears to fit the data better? c. Predict the price of an 11–year-old car using both the linear function and the quadratic function.
Solution Summary: The author explains how to calculate the linear and quadratic equations to express the price as a function of age of the car.
Use a calculator or a computer for the following regression problems.
Quadratic Versus Linear The average retail price for a used convertible Corvette depends on the age of the car, as shown in the accompanying table for the summer of 2012 (Edmund's, www.edmunds.com).
Table for Exercise 113
Age (yr)
Price ($)
1
42,235
2
38,261
3
32,686
4
29,414
5
26,750
6
25,125
7
22,444
8
18,112
9
16,517
a. Use both linear regression and quadratic regression on a graphing calculator to express the price as a function of the age of the car.
b. Plot the data, the linear function, and the quadratic function on your calculator. Judging from what you see. which function appears to fit the data better?
c. Predict the price of an 11–year-old car using both the linear function and the quadratic function.
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Unit Test
Unit Test Review Active
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Which statement is true about the graph of the equation y = csc¯¹(x)?
There is a horizontal asymptote at y = 0.
उद
There is a horizontal asymptote at y = 2.
There is a vertical asymptote at x = 0.
O There is a vertical asymptote at x=-
R
Mark this and return
C
Save and Exit
emi
ے ملزمة احمد
Q (a) Let f be a linear map from a space X into a space Y and (X1,X2,...,xn) basis for X, show that fis one-to-
one iff (f(x1),f(x2),...,f(x) } linearly independent.
(b) Let X= {ao+ax₁+a2x2+...+anxn, a;ER} be a vector space over R, write with prove a hyperspace and a
hyperplane of X.
مبر خد احمد
Q₂ (a) Let M be a subspace of a vector space X, and A= {fex/ f(x)=0, x E M ), show that whether A is
convex set or not, affine set or not.
Write with prove an
application of Hahn-Banach theorem.
Show that every singleton set in a normed space X is closed and any finite set in X is closed (14M)
Let M be a proper subspace of a finite dimension vector space X over a field F show that
whether: (1) If S is a base for M then S base for X or not, (2) If T base for X then base for M
or not.
(b) Let X-P₂(x) be a vector space over polynomials a field of real numbers R, write with L
prove convex subset of X and hyperspace of X.
Q₂/ (a) Let X-R³ be a vector space over a over a field of real numbers R and
A=((a,b,o), a,bE R), A is a subspace of X, let g be a function from A into R such that
gla,b,o)-a, gEA, find fe X such that g(t)=f(t), tEA.
(b) Let M be a non-empty subset of a space X, show that M is a hyperplane of X iff there
Xiff there
exists fE X/10) and tE F such that M=(xE X/ f(x)=t).
(c) Show that the relation equivalent is an equivalence relation on set of norms on a space
X.
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