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.
Please help me with these questions. I am having a hard time understanding what to do. Thank you
Answers
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Q.1) Classify the following statements as a true or false statements:
a. If M is a module, then every proper submodule of M is contained in a maximal
submodule of M.
b. The sum of a finite family of small submodules of a module M is small in M.
c. Zz is directly indecomposable.
d. An epimorphism a: M→ N is called solit iff Ker(a) is a direct summand in M.
e. The Z-module has two composition series.
Z
6Z
f. Zz does not have a composition series.
g. Any finitely generated module is a free module.
h. If O→A MW→ 0 is short exact sequence then f is epimorphism.
i. If f is a homomorphism then f-1 is also a homomorphism.
Maximal C≤A if and only if is simple.
Sup
Q.4) Give an example and explain your claim in each case:
Monomorphism not split.
b) A finite free module.
c) Semisimple module.
d) A small submodule A of a module N and a homomorphism op: MN, but
(A) is not small in M.
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