b. Explain which relationship is positive and which is negative?Which one is ind
ID: 1215487 • Letter: B
Question
b. Explain which relationship is positive and which is negative?Which one is indirect and which one is indirect?
c. Calculate the slope of each line you have graphed.Interpret the slope of each line (what does the slope tell us about the relationship between the variables).
(1) (2) (3) (4) (5)
J K L M N P R T U V
0 10 0 -15 100 40 0 -15 0 0
40 20 30 -5 80 50 20 -25 5 10
80 30 60 5 60 60 40 -35 10 20
120 40 90 15 40 70 60 -45 15 30
160 50 120 25 20 80 80 -55 20 40
200 60 150 35 0 90 100 -65 25 50
Explanation / Answer
(b)
(1) is a positive relationship and a direct one: For every increase of 40 in J, there is an increase of 10 in K.
(2) is a positive relationship and a direct one: For every increase of 30 in L, there is an increase of 10 in M.
(3) is a negative relationship and a direct one: For every decrease of 20 in N, there is an increase of 10 in P.
(4) is a negative relationship and a direct one: For every increase of 20 in R, there is a decrease of 10 in T.
(5) is a positive relationship and a direct one: For every increase of 5 in U, there is an increase of 10 in V.
(c) Slope = Change in one variable / Change in the other variable
(1) Slope = Change in K / Change in J = (60 - 10) / (200 - 0) = 50 / 200 = 0.25
As J increases (decreases) by 1 unit, K increases (decreases) by 0.25 units.
(2) Slope = Change in M / Change in L = (35 + 15) / (150 - 0) = 50 / 150 = 0.33
As L increases (decreases) by 1 unit, M increases (decreases) by 0.33 units.
(3) Slope = Change in P / Change in N = (90 - 40) / (0 - 100) = 50 / - 100 = - 0.5
As N increases (decreases) by 1 unit, P decreases (increases) by 0.5 units.
(4) Slope = Change in T / Change in R = (- 65 + 15) / (100 - 0) = - 50 / 100 = - 0.5
As R increases (decreases) by 1 unit, T decreases (increases) by 0.5 units.
(5) Slope = Change in V / Change in U = (50 - 0) / (25 - 0) = 50 / 25 = 2
As U increases (decreases) by 1 unit, V increases (decreases) by 2 units.
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