Scatterplot and the linear correlation coefficient


1. Use a scatterplot and the linear correlation coefficient r to determine whether there is a correlation between the two variables. Use a=0.05.

x

3

1

0

3

4

y

2

5

1

7

5

Does the given scatterplot suggest that there is a linear correlation?

a. Yes because the points appear to have a straight line pattern.

b. No because the data follows a straight line.

c. Yes because the data does not follow a straight line.

d. No because the point s do not appear to follow a straight line pattern.

Does the correlation coefficient indicate that there is a linear correlation between the variables?

a. No because the absolute value of the correlation coefficient is less than the critical value.

b. Yes because the absolute value of the correlation coefficient is less than the critical value.

c. Yes because the absolute value of the correlation coefficient is greater than the critical value.

d. No because the absolute value of the correlation coefficient is greater than the critical value.

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Basic Statistics: Scatterplot and the linear correlation coefficient
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