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

Section: Chapter Questions

Problem 1P

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Question

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

(a) Fill in the values in the table given here for a two-tailed test at α = 0.01 with 35 d.f. (Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round your t-values to 3 decimal places and p-values to 4 decimal places.)

Predictor	Coefficient	SE	t_c_alc	p-value
Intercept	4,286.0597	795.8817
AgeMed	-26.986	12.0335
Bankrupt	18.5775	12.9258
FedSpend	-0.0153	0.0150
HSGrad%	-28.5624	7.1571

(b-1) What is the critical value of Student's t in Appendix D for a two-tailed test at α = .01 with 35 d.f? (Round your answer to 3 decimal places.)

t-value =

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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