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For the data set shown​ below x   y 20   98 30   95 40   91 50   83 60   70 ​(a) Use technology to...

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Statistics

For the data set shown​ below

x   y
20   98
30   95
40   91
50   83
60   70

​(a) Use technology to find the estimates of β0 and β1.

β0 ≈b0=114.60

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

β1≈b1=−0.68

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

​(b) Use technology to compute the standard​ error, the pointestimate for σ.

se=3.7771

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

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

sb1equals=0.1194​

(Round to four 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.

Determine the​ P-value for this hypothesistest.

​P-value=__?__

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

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