For the data set shown​ below.
x  y
3Â Â 4
4Â Â 5
5Â Â 8
7Â Â 12
8Â Â 15
Find the estimates of β0 and β1.
β0≈b0=-3.256
​ (Round to three decimal places as​ needed.)
β1≈b1=2.233
(Round to three decimal places as​ needed.)
(b) Compute the standard​ error, the point estimate for σ.
Se=0.5972
​(Round to four decimal places as​ needed.)
​(c) Assuming the residuals are normally​ distributed, determinesb1.
sb1=0.144
​(Round to three decimal places as​ needed.)
​(d) Assuming the residuals are normally​distributed, test H0: β1=0 versus H1: β1≠0 at the α=0.05 level ofsignificance. Use the​ P-value approach.
The​ P-value for this test is
__?__.
​(Round to three decimal places as​ needed.)
