1) Graph the following equation: Y = 120 + 0.9X. (Y on the vertical axis and X on the horizontal axis).
a. What are the values of the intercepts for the horizontal and vertical axis? Show these values on the graph.
b. What is the slope of this equation? Carefully interpret this number. Use an "if..." statement in your interpretation.
2) Graph the following equation: X = -133.33 + 1.11Y. (X on the vertical axis and Y on the horizontal axis).
a. What are the values of intercepts for the horizontal and vertical axis? Show these values on the graph.
b. What is the slope of this equation? Carefully interpret this number. Use an "if..." statement in your interpretation.
3) Graph the following equation: Z = 180 - 30W. (Z on the vertical axis and W on the horizontal axis).
a. What are the values of the intercepts for the horizontal and vertical axis? Show these values on the graph.
b. What is the slope of this equation? Carefully interpret this number. Use an "if..." statement in your interpretation.
Suppose now that you have to draw a graph with W on the vertical axis and Z on the horizontal axis.
c. Derive the equation that reflects this graph. Draw the graph.
d. What are the values of intercepts for the horizontal and vertical axis? Show these values on a new graph.
e. What is the slope of this equation? Carefully interpret this number. Use an "if..." statement in your interpretation.
4) Answer the questions below using the following equation: Y = 60 - 5X + 15Z - 10S.
a. Assuming Y is on the vertical axis and X is on the horizontal axis, draw the relationship between these two variables using the following values for the other variables: Z = 5 and S 6.
b. What are the values of the intercepts for the horizontal and vertical axis? Show these values on the graph.
c. What is the slope of this equation? Carefully interpret this number. Use an "if..." statement in your interpretation.
d. Suppose that the value of Z changes from 5 to 8, show on the graph from part a) the effect of this change. Carefully label the curves.
e. Is the slope of the new curve different from the slope of the original curve? Carefully explain your answer.
f. Is the new value of the intercept for the vertical axis different from that of the original curve? Carefully explain your answer.
g. Is the new value of the intercept for the horizontal axis different from that of the original curve? Carefully explain your answer.
h. Does the change in the value of the Z variable result in a movement along the curve or a shift? Why?
i. Derive the equation that shows the relationship between the Z and S variables using the following values for the other variables: Y = 10 and X = 4. (Z on the vertical axis and S on the horizontal axis.
j. What is the slope of this equation? Carefully interpret this number. Use an "if..." statement in your interpretation.
5) Use the following equations to find the values of Y and X.
1. Y = X + W
2. X = 30 + .8Y
3. W = 250
6) Use the following assumptions and equations to find the value of r.
1. Z = W
2. W = .40Y - 100r
3. Z = M/P
4. Y = 3000
5. M = 100
6. P =.5
7) Use the following assumptions and equations to find the value for Y.
1. Y=C+G+I
2. C = 500 + .8Y
3. G = 50
4. I = 80 - lOr
5. r = 4