# Relationships Between Two Variables of X & Y

I need to construct a graph showing relationships between two variables; X & Y

x:0 1 2 3 4 5 6 7 8

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y:0 1 4 9 16 25 36 49 64

1. I must explain if the relationship is positive or negative.

2. I must calculate the slope between X and Y when x equals 2 & when x equals 4.

3. I must explain how the slope changes as the value of x increases.

Please note that as x increases, y increases, i.e, when x is 8, y is 64, and so on.

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#### Solution Preview

1) in this case we say the data is positively related. In other words, as X increases Y increases. If we wrote the functional form it would be Y=X^2. Now go through your table. At X=1,Y=1 at X=2,Y=4 at X=3,Y=9, and so on. So because the coefficient on X^2 is positive the relationship is positive. If it were ...

#### Solution Summary

The expert constructs a graph showing relationships between two variable, X & Y.