(Solved): What is the relasionship between the linear correlation coefficient \( r \) and the slope \( b_{1} ...

What is the relasionship between the linear correlation coefficient \( r \) and the slope \( b_{1} \) of a regression line? Choose the correct answar below. A. The value of \( r \) will always be smaller than the value of \( b_{4} \). B. The value of \( r \) wili always have the opposite sign of the value of \( b_{1} \). C. The value of \( r \) will always be larger than the value of \( b_{1} \). D. The value of \( r \) will always have the same sign as the value of \( b_{f} \). he accompanying table lists the ages of acting award wisnors matched by the years in which the awards were wen. Construct a scatterpiot, find the value of the linear correation cotfient tr ard ind the P-value of \( r \). Determine whether there is sufficient evidence to support a claim of linear correlsfon between the two varables. Should we oxpect that there would te a corribson? Use a ianificance lerel ot \( \alpha=0.05 \). Click the icon to view the ages of the award winers. Construct a scalterplot. Choose the coerect graph below. A. B. b. The linear correlation of (Reound to three decima Determine the rull and \{ (Type ithegirs of decimas. Do not reund.) The liet stativio is \( t= \) Frouns to two decinal ploces as needed ? The P.value is ind the P-value of \( t \). Delermine whether there is sulficient evidence so support a diaim of inear correlation becween the two variables. Sheuld we expect that there would te a comeiaton? Usi a Click the icon to view the apes of the award winner. The inear correlation coemltionet is \( \mathrm{r}= \) (Pound to three decimal places as newded ) Determine the null and athemative hypotheses. \( H_{0}=0 \) \( \mathrm{H}_{4}:\{ \) (Type Fhegers or deoimals. Da not found.) The fest staliste is \( \mathrm{t}= \) (Round to twe deciral places as needed) The P-yalue is (Roound so throe decima plases as needes) Decsist the P. Palue of two innar conelason coeffcient is the oges of Best Actresses arid Best Aciors. thodd wo aped that thare norid be a correlesion? C. Yes. because flest Actore and fleu Auresses are tprevely the sare agh