# Statistics: Correlation Coefficient, Probability and Measurement

See the attached file.

Q1)

The diastolic blood pressure, x, and the systolic blood pressure, y, were recorded for 13 females.

x 76 70 82 90 68 60 62 60 62 72 68 80 74

y 122 102 118 126 108 130 104 118 130 116 102 122 120

Find the correlation coefficient (and all related values) for these data:

Q2)

Suppose a certain ophthalmic trait is associated with eye color. One hundred and fifty randomly selected individuals are studied with results as follows:

Trait Blue Brown Other Total

Yes 35 15 10 60

No 10 55 25 90

Total 45 70 35 150

What is the probability that a person selected at random has blue eyes?

What is the probability that a person selected at random has the trait?

Are events A(has blue eyes) and B(has the trait) independent?

Q3)

The commuting distance was determined for each of 9 employees at a manufacturing plant. One of the employees lives in another town and has a large commuting distance. The 9 distances were as follows: 5, 10, 7, 15, 10, 12, 8, 120, 18.

Fined the mean:

Find the median distance:

Which measurement is most representative for the data?

https://brainmass.com/statistics/quantative-analysis-of-data/statistics-correlation-coefficient-probability-measurement-398312

#### Solution Summary

The solution determines the correlation coefficient, probability and measurement of various statistics questions.