The SAT and the ACT are the two major standardized tests thatcolleges use to evaluate candidates. Most students take just one ofthese tests. However, some students take both. The data data5.datgives the scores of 60 students who did this. How can we relate thetwo tests?

(a) Plot the data with SAT on the x axis and ACT on they axis. Describe the overall pattern and any unusualobservations.

(b) Find the least-squares regression line and draw it on yourplot. Give the results of the significance test for the slope.(Round your regression slope and intercept to three decimal places,your test statistic to two decimal places, and yourP-value to four decimal places.)

ACT =	+  (SAT)
t =
P =

(c) What is the correlation between the two tests? (Round youranswer to three decimal places.)

obs   sat   act1    950   172    719   193    648   174    905   225    1263  296    995   257    1184  258    672   139    882   1710   1082  2111   875   1712   951   2013   1045  2214   679   1915   794   1816   722   1617   1227  2818   746   1419   1145  2720   716   1921   1208  2822   950   2123   890   2324   761   1725   969   1726   647   1127   857   2128   991   2129   798   1730   666   1431   761   1932   660   2033   631   1634   1121  2635   978   2636   883   1837   807   1838   895   1939   1184  2340   869   1741   582   1442   1070  2043   642   1644   937   2345   1086  2746   1013  2647   713   1948   1144  2549   990   2450   878   1651   870   2652   1090  2753   1095  2654   781   1955   1046  2156   675   1357   1257  2558   1099  2759   620   1060   714   13