College Algebra (6th Edition)
6th Edition
ISBN: 9780321916600
Author: Mark Dugopolski
Publisher: PEARSON
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Textbook Question
Chapter A, Problem 27E
Number of Farms The accompanying table gives the number of farms in the United States for the years 1990 through 2010. (U.S. Department of Agriculture, www.usda.gov).
Table for Exercise 27
Year |
Farms (in thousands) |
1990 |
2146 |
1995 |
2196 |
2000 |
2172 |
2005 |
2101 |
2010 |
2064 |
a.Find the equations that express the number of farms as a function of the year by using linear regression and quadratic regression. Let x = 0 correspond to 1990.
b.Predict the number of farms in the United States in 2015 using linear regression and quadratic regression.
Solve each problem.
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Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
F. none of the above
Select the best statement.
A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors
are distinct.
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B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0
excluded spans Rª.
○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n
vectors.
○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors
spans Rn.
E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn.
F. none of the above
Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.)
☐ A.
{
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3
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☐ B.
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D.
-5
☐ E.
3
☐ F.
4
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Chapter A Solutions
College Algebra (6th Edition)
Ch. A - True or False? Explain. A scatter diagram is a...Ch. A -
True or False? Explain.
2. If data are roughly...Ch. A -
True or False? Explain.
3. If there is no...Ch. A - True or False? Explain. The line of best fit is...Ch. A - Prob. 5FTCh. A - Prob. 6FTCh. A - Prob. 7FTCh. A - Prob. 8FTCh. A - Prob. 9FTCh. A - True or False? Explain. If we make a prediction...
Ch. A - Prob. 1ECh. A -
Fill in the blank.
2. The line that best fits the...Ch. A - Prob. 3ECh. A -
For each given scatter diagram determine whether...Ch. A - For each given scatter diagram determine whether...Ch. A - Prob. 6ECh. A -
For each given scatter diagram determine whether...Ch. A - For each given scatter diagram determine whether...Ch. A - For each given scatter diagram determine whether...Ch. A - Prob. 10ECh. A - Prob. 11ECh. A - Prob. 12ECh. A - Prob. 13ECh. A - Prob. 14ECh. A - Prob. 15ECh. A - Prob. 16ECh. A - Prob. 17ECh. A - Prob. 18ECh. A - Prob. 19ECh. A - Prob. 20ECh. A - Solve each Problem. Coal Production The amount of...Ch. A - Prob. 22ECh. A - Prob. 23ECh. A - Prob. 24ECh. A - Prob. 25ECh. A - Prob. 26ECh. A - Number of Farms The accompanying table gives the...Ch. A - Use your calculator to find the linear regression...Ch. A - Use the regression equation to estimate the cost...Ch. A - Use the regression equation to estimate the cost...
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