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Scatter Plot and Determining Correlation

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In forestry there appears to be a correlation between the diameter of a tree at breast height and the total height of the tree. For the following sample of ten white spruces, first construct a scatter plot then find the correlation (r) between height, r squared, and T.

Diameter(cm) Height
18.9 20.0
15.5 16.8
19.4 20.2
20.0 20.0
29.8 20.2
19.8 18.0
20.3 17.8
20.0 19.2
22.0 22.3
16.6 18.8

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Solution Summary

This solution involves calculations of correlations and creation of a scatter plot.

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Scatter plot, correlation and regression

A study was done with a group of university students to determine if there was a correlation between the amounts of sleep they got and their academic performance. The following table lists some data from the study.

Student
A
B
C
D
E
F
G
H
I
J
K
L

Hours of Sleep
6.0
6.5
7.0
6.5
8.5
8.0
9.0
8.5
7.0
7.5
6.5
7.5

Average Mark
62
58
66
71
76
82
76
75
70
68
56
77

a.Make a scatter plot of the data.
b.Using a graphing calculator, determine the correlation coefficient.
c.What would you conclude about the relationship between the two variables

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