The following table shows the average number of hours per night sleeping by seven men and their youngest child. Hours sleep per night of father (x) 6.7 7.1 7.2 7.9 8.1 8.2 8.2 Hours sleep per night of youngest child (y) 7.9 8.0 8.5 8.7 9.1 9.2 9.5 The relationship can be modelled by a regression line with equation y = mx +c (a) Find the correlation coefficient. (b) Write down the value of m and of c (c) Young Ramin sleeps for an average of 8.6 hours per day. Use your regression line to predict the average number of hours his father sleeps. Give your answer in hours and minutes correct to the nearest minute.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 2EA
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The following table shows the average number of hours per night sleeping by seven men and their youngest child. Hours sleep per night of father (x) 6.7 7.1 7.2 7.9 8.1 8.2 8.2 Hours sleep per night of youngest child (y) 7.9 8.0 8.5 8.7 9.1 9.2 9.5 The relationship can be modelled by a regression line with equation y = mx +c (a) Find the correlation coefficient. (b) Write down the value of m and of c (c) Young Ramin sleeps for an average of 8.6 hours per day. Use your regression line to predict the average number of hours his father sleeps. Give your answer in hours and minutes correct to the nearest minute.

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