We wish to look at the relationship between y and x. Summary measures are given below: n=5, xbar=9.4, ybar=17.2, SSxx=137.2, SSyy=242.8, and SSxy=-169.4 Find the t test statistic for the hypothesis H0: β1=0 vs Ha: β1≠0.
According to the given question , to look at the relationship between y and x. Summary measures are given below:
,
,
,
,
and
To find the t test statistic for the hypothesis
Against the alternative hypothesis
We find out t test statistics as:
Where
Now
Therefore
Therefore the required t test statistics is determined as:
Therefore the required test statistics is
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