# Statistics : regression and correlation.

13. 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?

14. For the previous problem predict number of hours slept by an infant who is 0.8 years old.

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

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Please see the word document and excel file attached. Word document contains all the ...

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Word document contains all the details, steps, formulas and answers. Excel sheet contains scatter plot, regression and correlation output using excel data analysis tools. Excel sheet also contains calculations for all the steps in word file