document.write( "Question 1206032: If the regression is Y = 3 + 4X then for a unit increase in X, Y will increase by 4 units - do you agree, why or why not? \n" ); document.write( "
Algebra.Com's Answer #843226 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "I agree.
\n" ); document.write( "We can look at an example involving something like x = 5
\n" ); document.write( "y = 3+4x = 3+4*5 = 23\r
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\n" ); document.write( "\n" ); document.write( "Then increase x by 1 to try x = 6,
\n" ); document.write( "y = 3+4x = 3+4*6 = 27\r
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\n" ); document.write( "\n" ); document.write( "y has increased by 4 since 27-23 = 4\r
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\n" ); document.write( "\n" ); document.write( "Or,
\n" ); document.write( "y = mx+b has slope m
\n" ); document.write( "y = 3+4x aka y = 4x+3 has slope 4
\n" ); document.write( "which can be broken down as follows.
\n" ); document.write( "slope = rise/run
\n" ); document.write( "slope = (change in y)/(change in x)
\n" ); document.write( "slope = 4/1
\n" ); document.write( "slope = 4\r
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\n" ); document.write( "\n" ); document.write( "Equate the corresponding values to see that:
\n" ); document.write( "rise = change in y = 4
\n" ); document.write( "run = change in x = 1
\n" ); document.write( "Therefore, each time x goes up by 1, y goes up by 4.
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