Simple Linear Regression problems (Read-Only] [Compatibility Mode)- Word TREFERE

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Simple Linear Regression problems (Read-Only] [Compatibility Mode)- Word TREFERENCES MAILINGS REVIEW VIEW One Page B Multiple PagesNew Arrange Sps C1 View Side by Side | Synchronous Scrolling | Switch ED Reset Window Position Windows | Macros oom 100% Page Width Window All Zoom Windoww Macros 1) A study was done on the age of babies (in months) and the amount of hours during the day (total) that they sleep in a 24 hour period. a) What are the independent and dependent variables b) Does the scatterplot indicate a feasible relationship? Scatterplot of hours slept v, age (months) Using the output, what is the equation tne line and gerne the stope ana the problem cy n terns er

Explanation / Answer

Solution:

(a) Independent variable is the babies' age in months and the dependent variable is the number of daily hours of sleep.

(b) Yes, there appears to a moderate degree of negative correlation between the two variables.

(c) The equation of the regression line is Sleep = 15.09 - 0.25718 * Age

The coefficient -0.25718 means the number of hours of daily sleep decreases by 0.25718 hours as the baby gets older by a month. The coefficient 15.09 means a just born baby (less than a month old) sleeps for about 15.09 hours daily.

(d) 49.9% of the variation in sleep is explained by age

(e) p- value for slope is 0. Hence the slope is significant.

(f) Sleep = 15.09 - 0.25718(10) = 12.52 hours.

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