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Get Full Access to Elementary Linear Algebra With Applications - 9 Edition - Chapter 1.1 - Problem 26
Get Full Access to Elementary Linear Algebra With Applications - 9 Edition - Chapter 1.1 - Problem 26

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# Describe the number of points that simultaneously lie in each of the three planes shown

ISBN: 9780132296540 301

## Solution for problem 26 Chapter 1.1

Elementary Linear Algebra with Applications | 9th Edition

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Elementary Linear Algebra with Applications | 9th Edition

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Problem 26

Describe the number of points that simultaneously lie in each of the three planes shown in each part of Figure 1.2.

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Linear Regression Mathematical Models  Expression that describes the relationship between variables  2 types o Deterministic model o Probabilistic model  Hypothesize 2 components  Deterministic  Random error Straight line probabilistic model y =  0+  x1+ y  dependent variable x  independent variable E(y) = 0 + 1x  Deterministic component  (epsilon)  Random error component  0(beta zero) = y­intercept of the line  1(beta one) = slope of the line How do you determine what line “fits best” on a Scattergram Least Squares line  Sum of the errors = 0 o Mean error = 0  Sum of squared errors (SSE) is smaller than for any other straight­line model o Error variance is minimum How to determine the line: Finding it on the Calculator: Input the data given (STAT, Edit) Finding line  STAT, CALC, LinReg LinReg will automatically have L1 as the x values and L2 as the y values Example You’re a marketing analyst for Hasbro Toys. You gather the following data: Ad Expenditure (100\$) Sales (Units) 1 1 2 1 3 2 4 2 5 4 Find the least squares line relating sales and advertising. Basic Assumptions of Probability Distribution:

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