Question

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

x	3	4	5	7	8
y	4	7	8	12	13

(a) Find the estimates of β0 and β1.

β0 ≈b0 = ____ ​(Round to three decimal places as​ needed.)

β1 ≈b1 = ____ (Round to three decimal places as​ needed.)

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

se= ______

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

Sb1= _____

(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=-0.744

b1=1.767

b)se=0.5972

c)sb1=0.144

d) The​ P-value for this test is =0.001