The scores of the quizzes of five students in both English and Science are:
For English, the mean is 6.4 and the standard deviation is 2.0.
For Science, the mean is 7 and the standard deviation is 1.6.
Using the formu
...
The scores of the quizzes of five students in both English and Science are:
For English, the mean is 6.4 and the standard deviation is 2.0.
For Science, the mean is 7 and the standard deviation is 1.6.
Using the formula below or Excel, find the correlation coefficient, r, for this set of scores.
Answer choices are rounded to the nearest hundredth.
● 0.42
● 0.23
● 0.05
● 0.50
RATIONALE
English Science
Student 1 6 8
Student 2 5 5
Student 3 9 6
Student 4 4 7
Student 5 8 9
In order to get the correlation, we can use the formula:
Correlation can be quickly calculated by using Excel. Enter the values and use the
function "=CORREL(".
CONCEPT
Correlation
2
In a study of 30 high school students, researchers found a high correlation, 0.93,
between amount of exercise and weight lost.
Which of the following statements is TRUE?
● The researchers proved that exercise causes weight loss, but only for high
school students.
● The researchers proved that exercise causes weight loss.
● There is a strong positive linear association between weight loss and
exercise, but the researchers have not proven causation.
● 93% of the high school students studied lost weight.
RATIONALE
Recall that correlation measures the strength and direction of linear association. So
r= 0.93 indicates a strong positive linear association. Recall also, that correlation
doesn't imply causation. Causation is a direct change in one variable causing a
change in some outcome
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