Student's Solution and Survival Manual for Calculus
7th Edition
ISBN: 9781524934040
Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J
Publisher: Kendall Hunt Publishing
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Chapter 3.4, Problem 29PS
To determine
Toidentify : the function model that represents the given data
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Students have asked these similar questions
Answer question 1 a and b thank you?
Question 1
The following table of values gives a company's annual profits in millions of dollars. Rescale the data so that the year 2005 corresponds to x = 0.
Year
Profits (in millions of dollars)
Find the quadratic regression model for this data.
a) Oy = -0.4x² +2.06x+62.5
b) y = -1.4426x² +9.2207 x + 53.1870
c)
y = -1.3554 x² +11.0761 x + 43.99
d) Oy
-1.3554 x² +8.3654x + 53.7107
e) y = -2.4286 x² + 12.0143 x + 52.4229
f) None of the above
2005 2006 2007 2008 2009
51.8 63.4 66.3 65.8 62.1
2010
63.8
Review Later
Problem 5 - §4.4 Choose the Model: A car travels down a straight highway at a constant speed.
Which is a better model for the distance traveled as a function of time: linear or exponential?
The linear model is better for the distance traveled as a function of time.
Chapter 3 Solutions
Student's Solution and Survival Manual for Calculus
Ch. 3.1 - Prob. 1PSCh. 3.1 - Prob. 2PSCh. 3.1 - Prob. 3PSCh. 3.1 - Prob. 4PSCh. 3.1 - Prob. 5PSCh. 3.1 - Prob. 6PSCh. 3.1 - Prob. 7PSCh. 3.1 - Prob. 8PSCh. 3.1 - Prob. 9PSCh. 3.1 - Prob. 10PS
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Prob. 1PSCh. 3.2 - Prob. 2PSCh. 3.2 - Prob. 3PSCh. 3.2 - Prob. 4PSCh. 3.2 - Prob. 5PSCh. 3.2 - Prob. 6PSCh. 3.2 - Prob. 7PSCh. 3.2 - Prob. 8PSCh. 3.2 - Prob. 9PSCh. 3.2 - Prob. 10PSCh. 3.2 - Prob. 11PSCh. 3.2 - Prob. 12PSCh. 3.2 - Prob. 13PSCh. 3.2 - Prob. 14PSCh. 3.2 - Prob. 15PSCh. 3.2 - Prob. 16PSCh. 3.2 - Prob. 17PSCh. 3.2 - Prob. 18PSCh. 3.2 - Prob. 19PSCh. 3.2 - Prob. 20PSCh. 3.2 - Prob. 21PSCh. 3.2 - Prob. 22PSCh. 3.2 - Prob. 23PSCh. 3.2 - Prob. 24PSCh. 3.2 - Prob. 25PSCh. 3.2 - Prob. 26PSCh. 3.2 - Prob. 27PSCh. 3.2 - Prob. 28PSCh. 3.2 - Prob. 29PSCh. 3.2 - Prob. 30PSCh. 3.2 - Prob. 31PSCh. 3.2 - Prob. 32PSCh. 3.2 - Prob. 33PSCh. 3.2 - Prob. 34PSCh. 3.2 - Prob. 35PSCh. 3.2 - Prob. 36PSCh. 3.2 - Prob. 37PSCh. 3.2 - Prob. 38PSCh. 3.2 - Prob. 39PSCh. 3.2 - Prob. 40PSCh. 3.2 - Prob. 41PSCh. 3.2 - Prob. 42PSCh. 3.2 - Prob. 43PSCh. 3.2 - Prob. 44PSCh. 3.2 - Prob. 45PSCh. 3.2 - Prob. 46PSCh. 3.2 - Prob. 47PSCh. 3.2 - Prob. 48PSCh. 3.2 - Prob. 49PSCh. 3.2 - Prob. 50PSCh. 3.2 - Prob. 51PSCh. 3.2 - Prob. 52PSCh. 3.2 - Prob. 53PSCh. 3.2 - Prob. 54PSCh. 3.2 - Prob. 55PSCh. 3.2 - Prob. 56PSCh. 3.2 - Prob. 57PSCh. 3.2 - Prob. 58PSCh. 3.2 - Prob. 59PSCh. 3.2 - Prob. 60PSCh. 3.3 - Prob. 1PSCh. 3.3 - Prob. 2PSCh. 3.3 - Prob. 3PSCh. 3.3 - Prob. 4PSCh. 3.3 - Prob. 5PSCh. 3.3 - Prob. 6PSCh. 3.3 - Prob. 7PSCh. 3.3 - Prob. 8PSCh. 3.3 - Prob. 9PSCh. 3.3 - Prob. 10PSCh. 3.3 - Prob. 11PSCh. 3.3 - Prob. 12PSCh. 3.3 - Prob. 13PSCh. 3.3 - Prob. 14PSCh. 3.3 - Prob. 15PSCh. 3.3 - Prob. 16PSCh. 3.3 - Prob. 17PSCh. 3.3 - Prob. 18PSCh. 3.3 - Prob. 19PSCh. 3.3 - Prob. 20PSCh. 3.3 - Prob. 21PSCh. 3.3 - Prob. 22PSCh. 3.3 - Prob. 23PSCh. 3.3 - Prob. 24PSCh. 3.3 - Prob. 25PSCh. 3.3 - Prob. 26PSCh. 3.3 - Prob. 27PSCh. 3.3 - Prob. 28PSCh. 3.3 - Prob. 29PSCh. 3.3 - Prob. 30PSCh. 3.3 - Prob. 31PSCh. 3.3 - Prob. 32PSCh. 3.3 - Prob. 33PSCh. 3.3 - Prob. 34PSCh. 3.3 - Prob. 35PSCh. 3.3 - Prob. 36PSCh. 3.3 - Prob. 37PSCh. 3.3 - Prob. 38PSCh. 3.3 - Prob. 39PSCh. 3.3 - Prob. 40PSCh. 3.3 - Prob. 41PSCh. 3.3 - Prob. 42PSCh. 3.3 - Prob. 43PSCh. 3.3 - Prob. 44PSCh. 3.3 - Prob. 45PSCh. 3.3 - Prob. 46PSCh. 3.3 - Prob. 47PSCh. 3.3 - Prob. 48PSCh. 3.3 - Prob. 49PSCh. 3.3 - Prob. 50PSCh. 3.3 - Prob. 51PSCh. 3.3 - Prob. 52PSCh. 3.3 - Prob. 53PSCh. 3.3 - Prob. 54PSCh. 3.3 - Prob. 55PSCh. 3.3 - Prob. 56PSCh. 3.3 - Prob. 57PSCh. 3.3 - Prob. 58PSCh. 3.3 - Prob. 59PSCh. 3.3 - Prob. 60PSCh. 3.4 - Prob. 1PSCh. 3.4 - Prob. 2PSCh. 3.4 - Prob. 3PSCh. 3.4 - Prob. 4PSCh. 3.4 - Prob. 5PSCh. 3.4 - Prob. 6PSCh. 3.4 - Prob. 7PSCh. 3.4 - Prob. 8PSCh. 3.4 - Prob. 9PSCh. 3.4 - Prob. 10PSCh. 3.4 - Prob. 11PSCh. 3.4 - Prob. 12PSCh. 3.4 - Prob. 13PSCh. 3.4 - Prob. 14PSCh. 3.4 - Prob. 15PSCh. 3.4 - Prob. 16PSCh. 3.4 - Prob. 17PSCh. 3.4 - Prob. 18PSCh. 3.4 - Prob. 19PSCh. 3.4 - Prob. 20PSCh. 3.4 - Prob. 21PSCh. 3.4 - Prob. 22PSCh. 3.4 - Prob. 23PSCh. 3.4 - Prob. 24PSCh. 3.4 - Prob. 25PSCh. 3.4 - Prob. 26PSCh. 3.4 - Prob. 27PSCh. 3.4 - Prob. 28PSCh. 3.4 - Prob. 29PSCh. 3.4 - Prob. 30PSCh. 3.4 - Prob. 31PSCh. 3.4 - Prob. 32PSCh. 3.4 - Prob. 33PSCh. 3.4 - 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Prob. 25PSCh. 3.5 - Prob. 26PSCh. 3.5 - Prob. 27PSCh. 3.5 - Prob. 28PSCh. 3.5 - Prob. 29PSCh. 3.5 - Prob. 30PSCh. 3.5 - Prob. 31PSCh. 3.5 - Prob. 32PSCh. 3.5 - Prob. 33PSCh. 3.5 - Prob. 34PSCh. 3.5 - Prob. 35PSCh. 3.5 - Prob. 36PSCh. 3.5 - Prob. 37PSCh. 3.5 - Prob. 38PSCh. 3.5 - Prob. 39PSCh. 3.5 - Prob. 40PSCh. 3.5 - Prob. 41PSCh. 3.5 - Prob. 42PSCh. 3.5 - Prob. 43PSCh. 3.5 - Prob. 44PSCh. 3.5 - Prob. 45PSCh. 3.5 - Prob. 46PSCh. 3.5 - Prob. 47PSCh. 3.5 - Prob. 48PSCh. 3.5 - Prob. 49PSCh. 3.5 - Prob. 50PSCh. 3.5 - Prob. 51PSCh. 3.5 - Prob. 52PSCh. 3.5 - Prob. 53PSCh. 3.5 - Prob. 54PSCh. 3.5 - Prob. 55PSCh. 3.5 - Prob. 56PSCh. 3.5 - Prob. 57PSCh. 3.5 - Prob. 58PSCh. 3.5 - Prob. 59PSCh. 3.5 - Prob. 60PSCh. 3.6 - Prob. 1PSCh. 3.6 - Prob. 2PSCh. 3.6 - Prob. 3PSCh. 3.6 - Prob. 4PSCh. 3.6 - Prob. 5PSCh. 3.6 - Prob. 6PSCh. 3.6 - Prob. 7PSCh. 3.6 - Prob. 8PSCh. 3.6 - Prob. 9PSCh. 3.6 - Prob. 10PSCh. 3.6 - Prob. 11PSCh. 3.6 - Prob. 12PSCh. 3.6 - Prob. 13PSCh. 3.6 - Prob. 14PSCh. 3.6 - Prob. 15PSCh. 3.6 - 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Prob. 7PSCh. 3.7 - Prob. 8PSCh. 3.7 - Prob. 9PSCh. 3.7 - Prob. 10PSCh. 3.7 - Prob. 11PSCh. 3.7 - Prob. 12PSCh. 3.7 - Prob. 13PSCh. 3.7 - Prob. 14PSCh. 3.7 - Prob. 15PSCh. 3.7 - Prob. 16PSCh. 3.7 - Prob. 17PSCh. 3.7 - Prob. 18PSCh. 3.7 - Prob. 19PSCh. 3.7 - Prob. 20PSCh. 3.7 - Prob. 21PSCh. 3.7 - Prob. 22PSCh. 3.7 - Prob. 23PSCh. 3.7 - Prob. 24PSCh. 3.7 - Prob. 25PSCh. 3.7 - Prob. 26PSCh. 3.7 - Prob. 27PSCh. 3.7 - Prob. 28PSCh. 3.7 - Prob. 29PSCh. 3.7 - Prob. 30PSCh. 3.7 - Prob. 31PSCh. 3.7 - Prob. 32PSCh. 3.7 - Prob. 33PSCh. 3.7 - Prob. 34PSCh. 3.7 - Prob. 35PSCh. 3.7 - Prob. 36PSCh. 3.7 - Prob. 37PSCh. 3.7 - Prob. 38PSCh. 3.7 - Prob. 39PSCh. 3.7 - Prob. 40PSCh. 3.7 - Prob. 41PSCh. 3.7 - Prob. 42PSCh. 3.7 - Prob. 43PSCh. 3.7 - Prob. 44PSCh. 3.7 - Prob. 45PSCh. 3.7 - Prob. 46PSCh. 3.7 - Prob. 47PSCh. 3.7 - Prob. 48PSCh. 3.7 - Prob. 49PSCh. 3.7 - Prob. 50PSCh. 3.7 - Prob. 51PSCh. 3.7 - Prob. 52PSCh. 3.7 - Prob. 53PSCh. 3.7 - Prob. 54PSCh. 3.7 - Prob. 55PSCh. 3.7 - Prob. 56PSCh. 3.7 - Prob. 57PSCh. 3.7 - Prob. 58PSCh. 3.7 - Prob. 59PSCh. 3.7 - Prob. 60PSCh. 3.8 - Prob. 1PSCh. 3.8 - Prob. 2PSCh. 3.8 - Prob. 3PSCh. 3.8 - Prob. 4PSCh. 3.8 - Prob. 5PSCh. 3.8 - Prob. 6PSCh. 3.8 - Prob. 7PSCh. 3.8 - Prob. 8PSCh. 3.8 - Prob. 9PSCh. 3.8 - Prob. 10PSCh. 3.8 - Prob. 11PSCh. 3.8 - Prob. 12PSCh. 3.8 - Prob. 13PSCh. 3.8 - Prob. 14PSCh. 3.8 - Prob. 15PSCh. 3.8 - Prob. 16PSCh. 3.8 - Prob. 17PSCh. 3.8 - Prob. 18PSCh. 3.8 - Prob. 19PSCh. 3.8 - Prob. 20PSCh. 3.8 - Prob. 21PSCh. 3.8 - Prob. 22PSCh. 3.8 - Prob. 23PSCh. 3.8 - Prob. 24PSCh. 3.8 - Prob. 25PSCh. 3.8 - Prob. 26PSCh. 3.8 - Prob. 27PSCh. 3.8 - Prob. 28PSCh. 3.8 - Prob. 29PSCh. 3.8 - Prob. 30PSCh. 3.8 - Prob. 31PSCh. 3.8 - Prob. 32PSCh. 3.8 - Prob. 33PSCh. 3.8 - Prob. 34PSCh. 3.8 - Prob. 35PSCh. 3.8 - Prob. 36PSCh. 3.8 - Prob. 37PSCh. 3.8 - Prob. 38PSCh. 3.8 - Prob. 39PSCh. 3.8 - Prob. 40PSCh. 3.8 - Prob. 41PSCh. 3.8 - Prob. 42PSCh. 3.8 - Prob. 43PSCh. 3.8 - Prob. 44PSCh. 3.8 - Prob. 45PSCh. 3.8 - Prob. 46PSCh. 3.8 - Prob. 47PSCh. 3.8 - Prob. 48PSCh. 3.8 - Prob. 49PSCh. 3.8 - Prob. 50PSCh. 3.8 - Prob. 51PSCh. 3.8 - Prob. 52PSCh. 3.8 - Prob. 53PSCh. 3.8 - Prob. 55PSCh. 3.8 - Prob. 56PSCh. 3.8 - Prob. 57PSCh. 3.8 - Prob. 58PSCh. 3.8 - Prob. 59PSCh. 3.8 - Prob. 60PSCh. 3 - Prob. 1PECh. 3 - Prob. 2PECh. 3 - Prob. 3PECh. 3 - Prob. 4PECh. 3 - Prob. 5PECh. 3 - Prob. 6PECh. 3 - Prob. 7PECh. 3 - Prob. 8PECh. 3 - Prob. 9PECh. 3 - Prob. 10PECh. 3 - Prob. 11PECh. 3 - Prob. 12PECh. 3 - Prob. 13PECh. 3 - Prob. 14PECh. 3 - Prob. 15PECh. 3 - Prob. 16PECh. 3 - Prob. 17PECh. 3 - Prob. 18PECh. 3 - Prob. 19PECh. 3 - Prob. 20PECh. 3 - Prob. 21PECh. 3 - Prob. 22PECh. 3 - Prob. 23PECh. 3 - Prob. 24PECh. 3 - Prob. 25PECh. 3 - Prob. 26PECh. 3 - Prob. 27PECh. 3 - Prob. 28PECh. 3 - Prob. 29PECh. 3 - Prob. 30PECh. 3 - Prob. 1SPCh. 3 - Prob. 2SPCh. 3 - Prob. 3SPCh. 3 - Prob. 4SPCh. 3 - Prob. 5SPCh. 3 - Prob. 6SPCh. 3 - Prob. 7SPCh. 3 - Prob. 8SPCh. 3 - Prob. 9SPCh. 3 - Prob. 10SPCh. 3 - Prob. 11SPCh. 3 - Prob. 12SPCh. 3 - Prob. 13SPCh. 3 - Prob. 14SPCh. 3 - Prob. 15SPCh. 3 - Prob. 16SPCh. 3 - Prob. 17SPCh. 3 - Prob. 18SPCh. 3 - Prob. 19SPCh. 3 - Prob. 20SPCh. 3 - Prob. 21SPCh. 3 - Prob. 22SPCh. 3 - Prob. 23SPCh. 3 - Prob. 24SPCh. 3 - Prob. 25SPCh. 3 - Prob. 26SPCh. 3 - Prob. 27SPCh. 3 - Prob. 28SPCh. 3 - Prob. 29SPCh. 3 - Prob. 30SPCh. 3 - Prob. 31SPCh. 3 - Prob. 32SPCh. 3 - Prob. 33SPCh. 3 - Prob. 34SPCh. 3 - Prob. 35SPCh. 3 - Prob. 36SPCh. 3 - Prob. 37SPCh. 3 - Prob. 38SPCh. 3 - Prob. 39SPCh. 3 - Prob. 40SPCh. 3 - Prob. 41SPCh. 3 - Prob. 42SPCh. 3 - Prob. 43SPCh. 3 - Prob. 44SPCh. 3 - Prob. 45SPCh. 3 - Prob. 46SPCh. 3 - Prob. 47SPCh. 3 - Prob. 48SPCh. 3 - Prob. 49SPCh. 3 - Prob. 50SPCh. 3 - Prob. 51SPCh. 3 - Prob. 52SPCh. 3 - Prob. 53SPCh. 3 - Prob. 54SPCh. 3 - Prob. 55SPCh. 3 - Prob. 56SPCh. 3 - Prob. 57SPCh. 3 - Prob. 58SPCh. 3 - Prob. 59SPCh. 3 - Prob. 60SPCh. 3 - Prob. 61SPCh. 3 - Prob. 62SPCh. 3 - Prob. 63SPCh. 3 - Prob. 64SPCh. 3 - Prob. 65SPCh. 3 - Prob. 66SPCh. 3 - Prob. 67SPCh. 3 - Prob. 68SPCh. 3 - Prob. 69SPCh. 3 - Prob. 70SPCh. 3 - Prob. 71SPCh. 3 - 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- QUESTION 18 Problem 4e: A forester has a unique ability to estimate the volume (in cubic feet) of trees prior to a timber sale. The timber company wants him to train other employees in his technique of estimation. The forrester's assistant estimates the cubic-foot volume of each tree. After the tree has been chopped down, the forresters obtains the actual cubic-foot volume for a total of 26 trees. A regression model was fitted to the data, with the Estimated Volume y fitted against the Actual Volume x of each tree. The results of the regression are shown below: Analysis of Variance Coefficients Model Summary DF Adj SS Adj MS F-Value P-Value 1 234.31 234315 294.81 Source Term Coef SE Coef T-Value P-Value 0.000 R-sq R-sq(adj) 92.16% Regression Constant 1.845 0.856 2.15 0.041 0.891520 92.47% Error 24 19.08 0.795 Act vol 0.7830 0.0456 17.17 0.000 Total 25 253.39 e) A prediction of y for x-15 was performed based on the fitted regression, with the following results: Settings Prediction…arrow_forwardQUESTION 15 Problem 4b: A forester has a unique ability to estimate the volume (in cubic feet) of trees prior to a timber sale. The timber company wants him to train other employees in his technique of estimation. The forrester's assistant estimates the cubic-foot volume of each tree. After the tree has been chopped down, the forresters obtains the actual cubic-foot volume for a total of 26 trees. A regression model was fitted to the data, with the Estimated Volume y fitted against the Actual Volume x of each tree. The results of the regression are shown below: Coefficients Analysis of Variance Model Summary DF Adj SS Adj MS F-Value P-Value 1 234.31 234315 294.81 Source Term Coef SE Coef T-Value P-Value R-sq R-sq(adj) 92.16% Regression 0.000 Constant 1.845 0.856 2.15 0.041 0.891520 92.47% Error 24 19.08 0.795 Act vol 0.7830 0.0456 17.17 0.000 Total 25 253.39 b) If the assistant is producing an accurate estimate of the volume, it is reasonable to expect that the slope 8, = 1. In a test…arrow_forwardQUESTION 16 Problem 4c: A forester has a unique ability to estimate the volume (in cubic feet) of trees prior to a timber sale. The timber company wants him to train other employees in his technique of estimation. The forrester's assistant estimates the cubic-foot volume of each tree. After the tree has been chopped down, the forresters obtains the actual cubic-foot volume for a total of 26 trees. A regression model was fitted to the data, with the Estimated Volume y fitted against the Actual Volume x of each tree. The results of the regression are shown below: Coefficients Analysis of Variance Model Summary Source DF Adj SS Adj MS F-Value P-Value Term Coef SE Coef T-Vaage P-Value Constant 1.845 R-sq R-sq(adj) Regression 1 234.31 234.315 294.81 0.000 0.856 2.15 0.041 0.891520 92.47% 165קפ Error 24 19.08 0.795 Act vol 0.7830 0.0456 17.17 0.000 Total 25 253.39 c) Determine the correlation r between the actual and estimated volumes for this assistant. Report your result as a proportion…arrow_forward
- QUESTION 14 Problem 4a: A forester has a unique ability to estimate the volume (in cubic feet) of trees prior to a timber sale. The timber company wants him to train other employees in his technique of estimation. The forrester's assistant estimates the cubic-foot volume of each tree. After the tree has been chopped down, the forresters obtains the actual cubic-foot volume for a total of 26 trees. A regression model was fitted to the data, with the Estimated Volume y fitted against the Actual Volume x of each tree. The results of the regression are shown below: Coefficients Analysis of Variance Model Summary Source DF Adj SS Adj MS F-Value P-Value Term Coef SE Coef T-Value P-Value R-sq R-sq(adj) Regression 1 234.31 234.315 294.81 0.000 Constant 1.845 0.856 2.15 0.041 0.891520 92.47% 92.16% Error 24 19.08 0.795 Act vol 0.7830 0.0456 17.17 0.000 Total 25 253.39 a) In a test of B, =0 against its alternative, report the value of the test statistic t: Use two decimalas in your answerarrow_forwardQUESTION 17 Problem 4d: A forester has a unique ability to estimate the volume (in cubic feet) of trees prior to a timber sale. The timber company wants him to train other employees in his technique of estimation. The forrester's assistant estimates the cubic-foot volume of each tree. After the tree has been chopped down, the forresters obtains the actual cubic-foot volume for a total of 26 trees. A regression model was fitted to the data, with the Estimated Volume y fitted against the Actual Volume x of each tree. The results of the regression are shown below: Analysis of Variance Coefficients Model Summary DF Adj SS Adj MS F-Value P-Value 1 234.31 234.315- 294.81 Source Term Coef SE Coef T-Value P-Value R-sq R-sq(adj) Regression 0.000 Constant 1.845 0.856 2.15 0.041 0.891520 92.47% 92.16% Error 24 19.08 0.795 Act vol 0.7830 0.0456 17.17 0.000 Total 25 253.39 d) Provide a point estimate of the standard deviation of the error variable g in the linear model v= Bn + B, X + ɛ Use 3…arrow_forwardProblem # 2 Gold Trackers monitors the price of precious metals, and has daily data on prices and sales of gold for the past several years. One of their new MBA financial wizards has estimated the following relationship for gold sales in the past year of trading (250 observations): Q = 4000 – 0.01 P + 1.5 I – 1.25 X + 2.0 S (857) (0.002) (0.65) (0.44) (0.48) R 2= 0.96 Where Q = daily sale of gold in ounces, P is the price of gold in dollars per ounce, I is the most recent one-month report on US CPI inflation (in percent), X is an index on the exchange rate of the US dollar compared to seven other currencies, and S is the market price of an ounce of silver in dollars. Standard errors are in parentheses. a) Evaluate the results of this regression. Compute t-statistics and F-statistic. b) Recently the price of gold has been $380 per ounce, inflation was measured at 0.2% for the month, the dollar has been trading at 99.7 on the foreign exchange index, and silver has been…arrow_forward
- Question 7777arrow_forwardProblem 3-29 (Algo) Mark Price, the new productions manager for Speakers and Company, needs to find out which variable most affects the demand for their line of company speakers. He is uncertain whether the unit price of the product or the effects of increased marketing are the main drivers in sales and wants to use regression analysis to figure out which factor drives more demand for its particular market. Pertinent information was collected by an extensive marketing project that lasted over the past 12 years and was reduced to the data that follow: YEAR 1 2 3 7 8 9 10 11 12 UNIT SALES (THOUSANDS) 398 700 898 1,290 1,153 1,188 898 1,116 988 1,3327 924 818 PRICE $ PER UNIT 290 218 208 216 218 207 216 204 218 208 221 238 ADVERTISING ($000) 585 827 1,116 1,411 1,213 1,290 905 1,116 706 905 706 680 Check my work a. Perform a regression analysis based on these data using Excel. Note: Negative values should be indicated by a minus sign. Round your answers to 4 decimal places.arrow_forwardProblem 3-Beetle Population (Linear vs. Exponential Growth): As a biology project, Tasha is studying the growth of a beetle population. She starts her experiment with 5 beetles. One month later, she counts 15 beetles. Assume the beetle population is growing exponentially Assume the beetle population is growing linearly.. # of months # of beetles # of beetles Complete the table. 1. # of months 1. Complete the table. 0 5 0 15 15 1 2 2 3 3 4 4 What do you see in the table that represents exponential growth in the beetle population? What do you see in the table that represents linear growth in the beetle population? 2. 2. Write an explicit equation to represent the growth in the beetle population as a function of time (in months). Write an explicit equation to represent the growth in the beetle population as a function of time (in months). 3. 3. How long will it take for the beetle population to reach 200? Explain how you figured this out. How long will it take for the beetle population to…arrow_forward
- Question 8 The following table of values gives a company's annual profits in millions of dollars. Rescale the data so that the year 2003 corresponds to x = 0. Year 2003 2004 2005 2006 2007 2008 Profits (in millions of dollars) 51.7 53.2 Use the exponential regression model to predict the company's profits in 2010. a) $59.4 million b) $62.1 million c) $58.1 million d) $60.7 million e) $63.4 million f) None of the above 51.9 52.2 56.1 58.3 Review Laterarrow_forwardQuestion 6. Table 2 presents data on the aggregate consumption (Y, in billions of HK dollars) and disposable income X, also in billions of HK dollars) for a developing economy over a 12-year period from 2012 to 2023. Year i Y₁ Xi 2012 1 102 114 2013 2 106 118 2014 3 108 126 2015 4 110 130 2016 5 122 136 2017 6 124 140 128 2019 8 130 156 2018 7 148 2020 9 142 160 2021 10 148 164 2022 11 150 170 2023 12 154 178 TABLE 2. Aggregate Consumption (Y) and Disposable Income (X) Answer the following questions: (1) Draw a scatter diagram using the data and visually inspect whether there exists an approximate linear relationship between Y and X. (2) Determine the simple regression equation for the consumption schedule in Table 2, using «ΣΧΥ - ΣΧ ΣΥ to find ₁ and Bo=Y - B₁X to find Bo. nΣX - (ΣΧ.)2 3₁ (3) (Optional) Plot the simple regression line and illustrate the deviations of each Y; from the corresponding Y₁. (4) For the aggregate consumption-income observation in Table 2, use the results from…arrow_forwardProblem 26- psych stats show full work pleasearrow_forward
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