The below figure shows 3 scatterplots of data. For each of the following stateme

Question

The below figure shows 3 scatterplots of data. For each of the following statements, answer A, B, or C to indicate the graph described by the statement. A C B

a. There is a positive correlation between x and y.

b. There is a negative correlation between x and y.

c. The correlation coefficient, r, is very close to 0.

d. The correlation coefficient, r, has magnitude close to 1/2.

e. The correlation coefficient, r, has magnitude close to 1.

f. The correlation coefficient, r, is negative.

g. The linear relationship between the predictor and response variable is very strong.

h. There is no linear correlation.

i. When x increases, y increases.

j. Which of the following graphs are appropriate to use a linear correlation:

It won't let me paste the graphs... or picture of the graph

Explanation / Answer

given graphs are not posted in question

a) for part a - we have an upward sloping line ( which is not perfectly straight)

b)we have an downward sloping line ( which is not perfectly straight)

c) We have a scattered plot , showing niether upward or downward trend

d) r =1/2

positive correlation -we have an upward sloping line ( which is not perfectly straight)

e) r = 1

perfect postive correlation - straight upward sloping line

f) downward sloping line

g) It could be an upward sloping or downward sloping depending on the relationship.

h) scatter , showing no positive or negative trend

i ) positive correlation - upward sloping line

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