Question

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

x	20	30	40	50	60
y	100	93	89	85	70

(a) 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.)

​(b)  Compute the standard​ error, the point estimate for σ.

se= ______ ( Rounding to four decimal places)

​(c)  Assuming the residuals are normally​ distributed, determine sb1 .

Sb1= _____ ( Rounding to four decimal places)

(d) ​Assuming the residuals are normally​ distributed, test H0 :β1=0 versus H1 :β1≠0 at the α=0.05 level of significance. Use the​ P-value approach.

The​ P-value for this test is _____ (rounding to three decimal places.)

Answer 1

a)

bo=114.600

b1=-0.680

b)se =3.5963

c)sb1=0.1137

d)

p value= 0.009