Given the linear correlation coefficient ( mathbf{r} ) and the sample size ( mathbf{n} ), determine the critical values of ( mathbf{r} ) and use your finding to state whether or not the given ( mathrm{r} ) represents a significant linear correlation. Use a significance level of ( mathbf{0 . 0 5} ).
2) ( mathrm{r}=-0.844, mathrm{n}=5 )
A) Critical values: ( mathrm{r}=pm 0.950 ), no significant linear correlation
B) Critical values: ( mathrm{r}=pm 0.878 ), significant linear correlation
C) Critical values: ( mathrm{r}=pm 0.878 ), no significant linear correlation
D) Critical values: ( r=0.950 ), significant linear correlation
Find the value of the linear correlation coefficient ( mathbf{r} ).
3) The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test.
egin{tabular}{l|rrrrrr}
Hours & 5 & 10 & 4 & 6 & 10 & 9 \
hline Score & 64 & 86 & 69 & 86 & 59 & 87
end{tabular}
( egin{array}{lll} ext { A) } 0.224 & ext { B) }-0.224 & ext { C) }-0.678end{array} )
D) ( 0.678 )
