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 data34.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    1104  232    786   163    668   184    1062  205    1025  216    1254  297    1183  218    908   129    837   2210   695   1211   1043  2112   735   1813   884   1714   1269  2815   968   2116   1034  2217   1070  2518   826   1919   750   1620   1043  2121   854   2322   1063  2623   866   2124   1021  1825   719   1026   1134  2727   932   2028   1069  2229   904   2030   839   2331   998   2032   672   1733   1199  2634   775   2235   1195  3136   795   1537   776   1838   888   1939   967   2240   915   2341   792   1842   663   2043   745   1344   615   1445   844   1846   745   1547   950   2448   967   2149   1258  2750   983   2151   915   2152   1041  1953   902   2554   932   2355   858   1656   966   2257   784   1858   1082  2759   868   2060   992   24