A regression model to predict Y, the state-by-state 2005 burglary crime rate per 100,000 people, used the following four state predictors: X1 = median age in 2005, X2 = number of 2005 bankruptcies per 1,000 people, X3 = 2004 federal expenditures per capita, and X4 = 2005 high school graduation percentage. PredictorCoefficientIntercept4,743.8633AgeMed-25.373Bankrupt15.0634FedSpend-0.0342HSGrad%-27.0640 (a) Write the fitted regression equation. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.) yˆy^ = ?? + ?? AgeMed + ?? Bankrupt + ?? FedSpend + ?? HSGrad%

Answered: A regression model to predict Y, the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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A regression model to predict Y, the state-by-state 2005 burglary crime rate per 100,000 people, used the following four state predictors: X₁ = median age in 2005, X₂ = number of 2005 bankruptcies per 1,000 people, X₃ = 2004 federal expenditures per capita, and X₄ = 2005 high school graduation percentage.

Predictor	Coefficient
Intercept	4,743.8633
AgeMed	-25.373
Bankrupt	15.0634
FedSpend	-0.0342
HSGrad%	-27.0640

(a) Write the fitted regression equation. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.)

yˆy^ = ?? + ?? AgeMed + ?? Bankrupt + ?? FedSpend + ?? HSGrad%

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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$\hat{y} = β_{0} + β_{1} x_{1} + β_{2} x_{2} + - - + β_{n} x_{n}$

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