91Ó°ÊÓ

Suppose that, for a sample of pairs of observations from two variables, the linear correlation coefficient r, is negative. Does this result necessarily imply that the variables are negatively linearly correlated ? Explain

Is 'p' a parameter or a statistic ? What about r? Explain your answer

If p= 0, then the two variables under consideration are linearly __

If two variables are positively linearly correlated, one of the variables tends to increase as the others __

If two variables are _ linearly correlated, one of the variables tend to decrease as the other increases.

For each exercise, decide, at 10% significance level, whether the data provide sufficient evidence t reject the null hypothesis in favour of alternate hypothesis

In Exercises \(14.118-14.127\). we repeat the data from Exercises \(14.12-14.21\) and specify an alternative hypothesis for a correlation \(t-\)test. For each exercise, decide at the \(10%\) significance level. whether the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.

\(H_{a}:p<0\)

For each exercise, decide, at 10% significance level, whether the data provide sufficient evidence t reject the null hypothesis in favour of alternate hypothesis

Ha :$p< 0$

we repeat the data and provide the sample regression creations

a. Determine the standard error of the estimate

b. Construct of residual plot.

c. Construct a nommal probability plot of the residuals.

$\hat{y}=2+x$

For each exercise, decide at $10\%$significance level, whether the data provide sufficient evidence to reject the null hypothesis in favor of alternate hypothesis

$H_a:p≠0$