Question

In a certain dormitory, for various nights, we compare the number of residents who go to bed with their shoes on with the number who wake up in the morning with headaches.

#sleep with shoes	10	12	8	20	16	5	15	21
#headaches	12	9	5	15	12	3	11	17

Find the correlation between these two variables:
sum of X's:
sum of X squared's:
sum of Y's:
sum of Y squared's:
sum of X*Y's:
SS(X)=
SS(Y)=
SS(XY)=
All previous answers should be exact.

The correlation r= __ (to seven places after the decimal)

Compute the missing pieces of the linear regression line of headaches on sleeping with shoes (to five places after the decimal):
Y-hat = __X + __

For each x, write down the prediction y-hat (to one place after the decimal):
For 13 people sleeping with their shoes on, we predict __ headaches.

For 19 people sleeping with their shoes on, we predict __ headaches.

Answer 1