Number
of Interruptions |
Time Spent "On Task" |
---|---|
11 | 18 |
5 | 37 |
9 | 18 |
4 | 31 |
Part (a)
Compute the Pearson correlation coefficient. (Round your answer
to three decimal places.)
Part (b)
Multiply each measurement of interruptions times 3 and
recalculate the correlation coefficient. (Round your answer to
three decimal places.)
Part (c)
Divide each measurement in half for time spent "on task" and
recalculate the correlation coefficient. (Round your answer to
three decimal places.)
Part (d)
True or false: Multiplying or dividing a positive constant by one set of scores (X or Y) does not change the correlation coefficient. Note: Use your answers in (a) to (c) to answer true or false.True False
A)
If Number of interruptions are denoted by x and time spent on task by y then
We know that pearson correlation is calculated by:
where
B)
After multiplying x by 3 and then corrrelation coefficient is same as -0.8973007
C)
After dividing the y by 2 also we get same correlation as -0.8973007
D)
Yes multiplying and dividing x or y by a constant doesnot changes its correlation.
Above calculations are done in R
Code along with output is attached herewith.
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