SOLUTION: 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?

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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?
Found 2 solutions by josgarithmetic, math_tutor2020:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Y=3%2B4X
Y=4X%2B3

Slope is 4.
Meaning, 4 units increase in Y makes 1 unit increase in X.

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

I agree.
We can look at an example involving something like x = 5
y = 3+4x = 3+4*5 = 23

Then increase x by 1 to try x = 6,
y = 3+4x = 3+4*6 = 27

y has increased by 4 since 27-23 = 4

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Or,
y = mx+b has slope m
y = 3+4x aka y = 4x+3 has slope 4
which can be broken down as follows.
slope = rise/run
slope = (change in y)/(change in x)
slope = 4/1
slope = 4

Equate the corresponding values to see that:
rise = change in y = 4
run = change in x = 1
Therefore, each time x goes up by 1, y goes up by 4.