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
