Multiple Regression

Homework Unit Five
Statistics for Criminal Justice -1 CCJ 5704

By
Edward M. Hobbs
March 24, 2012

1.Explain the least-squares fixation toward the mean cable length.
If a scatter plot shows a linear birth between two quantitative variables, least-squares relapse is a order for finding a line that articulationmarizes the relationship between the two variables, at least within the domain of the explanatory variable, x.The least-squares lapsing line (LSRL) is a mathematical model for the data. Regression line of descent: A straight line that describes how are sponse variable y chances as an explanatory variable x changes. It can sometimes be used to predict the value of y for a given value ofx.
Here are some significant things that we should know:
1. It is a mathematical model for the data.




2. It is the line that makes the sum of the squares of the residuals as small as possible.
3. The point x-y is on the line, where x is the mean of the x values, and y is the mean of the
y values.
4. Its trend is y(hat) = a + bx. (Note that b is slope and a is the y-intercept.)
5. b = r(sy/sx). (On the regression line, a change of one standard deviation in x corresponds to
a change of standard deviation y.
6. a = y - bx.
7. The slope b is the approximate change in y when x increases by 1.

2. How do you use the regression line for prognostic?
To make a prediction when you curb population data, take average of group; group averages in truth often form line, also to make a prediction when you have a sample, take all group averages and suck in a line of best fit; use line to predict....If you want to get a full essay, order it on our website: Orderessay



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