Topics
7. Bivariate data analysis
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AustraliaNSW
Year 12

7.03 Correlation coefficients

Lesson
Worksheet
Practice

Interactive practice questions

Consider the relationship between the variables in the scatterplot below.

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A scatter plot has both its $x$x- and $y$y-axes ranging from $0$0 to $20$20. Both axes are marked and labeled with integers at major intervals of $2$2 units and are marked at minor intervals of $1$1 unit. Several data points are plotted as solid dots on the scatter plot. The data points are at approximately $\left(15,18\right)$(15,18), $\left(7,12\right)$(7,12), $\left(10,14\right)$(10,14), $\left(9,14\right)$(9,14), $\left(1,11\right)$(1,11), $\left(4,12\right)$(4,12), $\left(19,18\right)$(19,18), $\left(11,15\right)$(11,15), $\left(5,11\right)$(5,11), $\left(7,12\right)$(7,12), $\left(8,12\right)$(8,12), $\left(8,14\right)$(8,14), $\left(15,16\right)$(15,16), $\left(19,18\right)$(19,18), $\left(16,18\right)$(16,18), $\left(9,13\right)$(9,13), $\left(12,16\right)$(12,16), $\left(2,9\right)$(2,9), $\left(9,14\right)$(9,14) and $\left(3,10\right)$(3,10), respectively. The points begin at the middle-left of the scatter plot and move upwards toward the upper right. The coordinates of the points are not explicitly labeled nor given.
a

Describe the relationship.

No linear relationship

A

Weak positive linear relationship

B

Strong positive linear relationship

C

Strong negative linear relationship

D

Weak negative linear relationship

E
b

Which values could the correlation coefficient take?

Between $-0.2$−0.2 and $0.2$0.2

A

Between $-0.6$−0.6 and $-0.4$−0.4

B

Between $0.8$0.8 and $1$1

C

Between $0.4$0.4 and $0.6$0.6

D

Between $-1$−1 and $-0.8$−0.8

E
Easy
< 1 min

Consider the relationship between the variables in the scatterplot below.

Easy
< 1 min

Consider the relationship between the variables in the scatterplot below.

Easy
< 1 min

Consider the relationship between the variables in the scatterplot below.

Easy
< 1 min
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Outcomes

MS2-12-2

analyses representations of data in order to make inferences, predictions and draw conclusions

MS2-12-7

solves problems requiring statistical processes, including the use of the normal distribution and the correlation of bivariate data

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