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