M16$Final$Exam$Review$Problems$From$CHAPTERS$10$&$11$
$
Problems$1=2:$$Compute$the$value$for$the$correlation$coefficient.$Use$hypothesis$testing$at$
α
=.05
$to$determine$correlation.$$If$there$is$correlation:$describe$it,$find$the$line$of$
regression$and$sketch$a$graph$of$the$data$with$the$line$of$regression,$and$answer$the$
question.$
$
1.$$Pass$Attempts:$$Data$for$pass$attempts$and$yards$gained$are$as$follows.$
Attempts$$$x$
116$
90$
82$
108$
92$
Yards$$$$y$
1001$
823$
851$
873$
837$
$$If$there$is$correlation,$find$the$number$of$yards$expected$from$100$pass$attempts.$
$
$
2.$$Egg$Production:$$Number$of$eggs$and$price$per$dozen$are$shown.$
Eggs$(millions)$$$x$
957$
1332$
1163$
1865$
119$
273$
$$$Price$per$dozen$$$y$
0.770$
0.697$
0.617$
0.652$
1.080$
1.42$
If$there$is$correlation,$find$what$price$per$dozen$eggs$you$would$expect$with$1000$produced$
eggs.$
$
$
$
$
$
3.$$The$USA$TODAY$reported$that$21%$of$loans$granted$by$credit$unions$were$for$home$
mortgages,$39%$were$for$automobile$purchases,$20%$were$for$credit$card$and$other$
unsecured$loans,$12%$were$for$real$estate$other$than$home$loans,$and$8%$were$for$other$
miscellaneous$needs.$$To$see$if$her$credit$union$customers$had$similar$needs,$a$manager$
surveyed$a$random$sample$of$100$loans$and$found$that$25$were$for$home$mortgages,$44$for$
automobile$purchases,$19$for$credit$card$and$unsecure$loans,$8$for$real$estate,$and$4$were$
for$miscellaneous$needs.$$At$
α
=.05
,$is$the$distribution$the$same$as$reported$in$the$
newspaper?$
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