Answer to Question 1
D
Answer to Question 2
a) There is a positive relationship. When Katie's income increases, so too does her purchase of books.
b) The relationship is plotted in the figure above.
c) The slope equals the change in the value of the variable measured on the vertical axis, income, divided by the change in the value of the variable measured along the horizontal axis, the number of books. Between 50,000 and 70,000 of income, the number of books purchased increases from 14 to 16. Hence income increases by 20,000 and the number of books increases by 2, so the slope equals 20,000/2 = 10,000.
d) As with the previous answer, the slope equals the change in income divided by the change in books. Between 90,000 and 110,000 of income, the number of books purchased increases from 18 to 20. Hence income increases by 20,000 and the number of books increases by 2, so the slope equals 20,000/2 = 10,000.
e) The slopes in parts (c) and (d) are equal. But, they must be equal because the relationship between Katie's income and the number of books she purchases is linear. For a linear relationship, the slope is the same regardless of where it is measured.
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