Linear Regression - Christmas Trees The following table gives the total number of live Christmas trees sold, in millions, in the United States from 2004 to 2011. (Source: Statista.com). t = number of years since 2004 C= total number of Christmas trees sold in the U.S. (in millions) 1. Use the TABLE to determine the number of live Christmas trees sold in the year 2008. In 2008, there were approximately 0 27.1 2 28.6 4 28.2 6 27 7 30.8 million live Christmas trees sold in the U.S. 2. Determine the linear regression equation that models the set of data above. Use the indicated variables and proper function notation. Round to the nearest hundredth as needed. C = 3. Interpret the meaning of the slope of your (rounded) regression model. From 2004 to 2011, the number of Christmas trees sold in the U.S. increased by approximately million trees each year. 4. Use the REGRESSION EQUATION to determine the number of live Christmas trees sold in the year 08. In 2008, there were approximately 5. Your answers to parts 1 and 4 should be different. Why is this the case? The data are linear. The regression equation gives a more precise answer than the value from the table. million live Christmas trees sold in the U.S. The data are linear. The regression equation gives only an approximation of the actual value, not the exact value. The data are not perfectly linear. The regression equation gives a more precise answer than the value from the table. The data are not perfectly linear. The regression equation gives only an approximation of the actual value, not the exact value.
Linear Regression - Christmas Trees The following table gives the total number of live Christmas trees sold, in millions, in the United States from 2004 to 2011. (Source: Statista.com). t = number of years since 2004 C= total number of Christmas trees sold in the U.S. (in millions) 1. Use the TABLE to determine the number of live Christmas trees sold in the year 2008. In 2008, there were approximately 0 27.1 2 28.6 4 28.2 6 27 7 30.8 million live Christmas trees sold in the U.S. 2. Determine the linear regression equation that models the set of data above. Use the indicated variables and proper function notation. Round to the nearest hundredth as needed. C = 3. Interpret the meaning of the slope of your (rounded) regression model. From 2004 to 2011, the number of Christmas trees sold in the U.S. increased by approximately million trees each year. 4. Use the REGRESSION EQUATION to determine the number of live Christmas trees sold in the year 08. In 2008, there were approximately 5. Your answers to parts 1 and 4 should be different. Why is this the case? The data are linear. The regression equation gives a more precise answer than the value from the table. million live Christmas trees sold in the U.S. The data are linear. The regression equation gives only an approximation of the actual value, not the exact value. The data are not perfectly linear. The regression equation gives a more precise answer than the value from the table. The data are not perfectly linear. The regression equation gives only an approximation of the actual value, not the exact value.
A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Transcribed Image Text:Linear Regression - Christmas Trees
The following table gives the total number of live Christmas trees sold, in millions, in the United
States from 2004 to 2011. (Source: Statista.com).
t = number of years since
2004
C = total number of
Christmas trees sold in the
U.S. (in millions)
1. Use the TABLE to determine the number of live Christmas trees sold in the year 2008.
In 2008, there were approximately
с
0
=
27.1
2
28.6
4
28.2
6
27
7
30.8
2. Determine the linear regression equation that models the set of data above. Use the
indicated variables and proper function notation. Round to the nearest hundredth as needed.
million live Christmas trees sold in the U.S.
3. Interpret the meaning of the slope of your (rounded) regression model.
From 2004 to 2011, the number of Christmas trees sold in the U.S. increased by
approximately
million trees each year.
4. Use the REGRESSION EQUATION to determine the number of live Christmas trees sold in the
year 2008.
In 2008, there were approximately
5. Your answers to parts 1 and 4 should be different. Why is this the case?
The data are linear. The regression equation gives a more precise answer than the value
from the table.
million live Christmas trees sold in the U.S.
The data are linear. The regression equation gives only an approximation of the actual
value, not the exact value.
The data are not perfectly linear. The regression equation gives a more precise answer
than the value from the table.
The data are not perfectly linear. The regression equation gives only an approximation
of the actual value, not the exact value.
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