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The projected number of newly reported crime cases in the New York county in 2011, found using linear regression is 703 newly reported crime cases
<h3>What is a linear regression?</h3>A linear regression models the relationship between a scalar quantity and other explanatory variables, using a linear approach.
The linear regression equation is presented as follows;
y = a + b•x
Where;
=(0+1+2+3)/4 = 1.5
=(994+946+928+880)/4 = 937
=(0+1+2+3) = 6
=(994+946+928+880) = 3748
n = 4
Using the statistics function of a graphing calculator, under Scatter plot, plot type, we have;
y = 991 - 36•x
Which gives;
b = -36
a = 991
From the given parameters, we have;
<em>x </em>= The number of years since 2003
y = The number of newly reported crime cases
Required;
The number of projected new cases in 2011
Solution;
In 2011, <em>x </em>= 2011 - 2003 = 8
Which gives;
y = 991 - 36×8 = 703
The number of newly reported crime cases in 2011 is 703
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