Question

For the data set:   x     y -3 -3 3 3 6 6 8 7 12 11...

For the data set:

  x     y
-3 -3
3 3
6 6
8 7
12 11

carry out the hypothesis test

H0:β1=0

H1:β1≠0

Determine the value of the test statistic and the associated p-value.

Test Stat =

p-Val =

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Answer #1

H0:β1=0
H1:β1≠0

From above table we have

t= coefficient of β1/SE

t= 0.924/0.035

t= 26.21

P value= 0.000122

Since P value SMALLER than 0.05 level of significance therefore SIGNIFICANT.

Decision: REJECT NULL HYPOTHESIS H0.

Conclusion: We have sufficient evidence to show that β1 is different from ZERO.

NOTE: I used MS EXCEL data analysis tool pack.

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