# Finding the Correlation Coefficient

Please see attachment based on question 1. which was.

The data below represent the age (in years) and the number of hours slept in a day by 7 infants:

Age, x

0.1

0.2

0.4

0.7

0.6

0.9

0.2

Hours slept, y

14.9

14.5

13.9

14.1

13.9

13.7

14.3

Find the correlation coefficient. At 0.05% significance level can you conclude there is a correlation between the age of the infant and the hours slept by an infant?

Please answer the following question.

Predict number of hours slept by an infant who is 0.8 years old and Find 99% confidence interval for the average number of hours slept by an infant who is 0.8 years old.

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#### Solution Summary

Solution attaches Word and Excel files to show how to calculate the number of hours slept by an infant in a given confidence interval as well as the correlation coefficient between infant age and hours slept.