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 data311.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 unusual observations.(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 your P-value to fourdecimal places.) ACT = + (SAT) t = P = (c) What is the correlationbetween the two tests? (Round your answer to three decimalplaces.)
obs sat act1 1031 232 801 173 663 124 1096 275 693 176 906 227 708 178 1180 269 914 1910 1099 2511 775 2012 1194 2713 1009 2114 899 2215 833 1816 1087 2217 802 1818 901 1819 877 2120 1049 2021 868 1722 792 1723 1008 1724 1167 2525 554 1026 1045 2027 1206 2828 875 2229 798 1930 1060 2131 1124 2632 1176 2533 1068 2334 732 1235 741 1436 969 2237 593 1238 613 1939 619 1440 1122 2441 911 1842 787 1643 1033 2644 781 1445 941 2646 989 2447 756 1548 1043 2449 647 1050 817 1751 357 952 1157 2753 1115 2554 904 1955 1094 2756 837 1957 573 1258 749 1859 1203 2560 895 23