1. The ages (in years) and the number of hours of sleep in one night for seven a
ID: 3312467 • Letter: 1
Question
1. The ages (in years) and the number of hours of sleep in one night for seven adults are given in below. Age,x Hours of sleep. y domain is from 20 -7 35 20 59 42 68 3875 17 a) (1.5pt) Carefully sketch a scatterplot of the data and label the axes. b) (Ipt) Compute the correlation coefficient r. What does this value tell you about the data? c (Ipt) Find the line-of-best-fit. d) (lpt) What is the slope Include units in your answer. Interpret this value in context. (1 pt) How many hours of sleep does the model predict a person of age 25 will get in one night? (1pt) Mallory is the individual in the table above who is 20-years old and sleeps an average of 9 hours each night. Identify the residual associated with Mallory's data point. What does this residual mean in context? observed-predicted q--y-: Kdhb4/ g)(pt) Can we conclude that older age causes a decrease in the number of hours an individual sleeps in one night? Why or why not?Explanation / Answer
equation is:
y = 10.45 0.086x
f) x = 20
y = 10.45 0.08620
y = 8.73
Residual = 9 - 8.73 = 0.27
g) Yes we can as coefficient of correlation is negative
It means if age increases, sleep hours get reduced.
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