Question

For the data set shown​ below, complete parts ​(a) through ​(d) below.

x   y
20   98
30   95
40   89
50   85
60   72

(a) Use technology to find the estimates of Β₀ and Β₁ .

Β₀ ≈ b₀ =__?__

​(Round to two decimal places as​ needed.)

Β₁ ≈ b₁ =__?__

​(Round to two decimal places as​ needed.)

Answer 1

X	Y	XY	X^2	Y^2
20	98	98	400	9604
30	95	95	900	9025
40	89	89	1600	7921
50	85	85	2500	7225
60	72	72	3600	5184

​​​​​​

PREDICTED Ý = a + b X

From the above table and formula we get the value are as:

n	5
sum(XY)	439.00
sum(X)	200.00
sum(Y)	439.00
sum(X^2)	9000.00
sum(Y^2)	38959.00

b	-17.1210
a	772.6400

b0 = 772.64

b1 = -17.12