The computer-science aptitude score, x, and the achievement score, y (measured by a comprehensive final), were measured for 10 students in a beginning computer-science course. The results were as follows. (Give your answers correct to two decimal places.)

x 7 6 9 11 11 5 14 8 15 20
y 29 28 32 18 21 24 32 24 24 32
(a) Find the equation of the line of best fit.
y hat = + x

(b) Find se2.

1 answer

y hat = .255x + 23.695

y bar = 26.4

x bar = 10.6

SE² =

[ Σ(y-yBar)^2 - [Σ(x-xBar)(y-yBar)]²/Σ(x-xBar)² ] /(n-2)