In: Statistics and Probability
The table below reports the ages (in years) and the number of hours of sleep in one night by seven adults.
Age,x 35 20 59 42 68 38 75
Hours of sleep, y 7 9 5 6 5 8 4
? = 7, ∑ ? = 337, ∑ ? 2 = 18563, ∑ ? = 44, ∑ ? 2 = 296 , ∑ ? ? = 1916
a. Find the coefficent of correlation between ? ??? ? and interpret its meaning in the context of the problem.
b. Conduct a test at 5% level of significance to determine whether hours of sleep (?) is linearly related with age (?).
c. Find the equation of the regression line between ? ??? ?.
d. Can you use the equation in part (c) to predict ? when ? = 10? Why or why not?