A mechanical engineer wants to examine the relationship between two variables, such as torque (variable A) and angular velocity (variable B), while controlling for the effect of a third variable, such as the size of the gear used (variable C). Correlations Group A Group B Group C Group A Pearson 1 0.974 2230.4767 Sig. (2-tailed) 0.000 Group B N Pearson 16 15 15 0.974 1 070.98 Sig. (2-tailed) 0.000 0.000 N 15 15 16 Group C Pearson Sig. (2-tailed) ??? ONIR 6.000 N 15 15 15 1. Cov(Group A,Group C)-9.736, SA = 4.47,Sc = 2.23 2. Putting hypothesis tests wherever needed 3. Find correlation between Group A and Group C? 4. Test The correlation by t test? 5. Calculate partial correlation for TAB.C 12.3 F12-13 23 (1-r)(1-3) 0.0 0.00 0.0000 0.0040 0.1 0.0398 0.0438 0.2 0.0793 0.0832 0.01 0.02 0.0080 0.03 0.0120 0.04 0.0160 0.0478 0.0517 0.0557 0.0871 0.0910 0.3 0.1179 0.1217 0.1255 0.1293 0.4 0.1554 0.1591 0.1628 0.1664 0.0948 0.1331 0.1700 0.5 0.6 0.2257 0.2291 0.1915 0.1950 0.1985 0.2019 0.2054 0.2324 0.2357 0.2389 0.7 0.2580 0.2611 0.2642 0.2673 0.8 0.2881 0.2910 0.2939 0.2969 0.9 0.3159 0.3186 0.3212 0.3238 1.0 0.3413 0.3438 0.3461 0.3485 0.3508 0.2704 0.2995 0.3264 1.1 0.3643 0.3665 0.3686 0.3708 0.3729 0.100 0.050 0.025 1-Tail Alpha df 0.20 0.10 0.05 2-Tall Alpha 1 3.0777 6.3138 12.7062 2 1.8856 2.9200 4.3027 3 3 1.6377 2.3534 3.1824 4 1.5332 2.1318 2.7764 5 1.4759 2.0150 2.5706 9 9 1.4398 1.9432 2.4469 7 1.4149 1.8946 2.3646 8 00 1.3968 1.8595 2.3060 6 1.3830 1.8331 2.2622 1.3722 1.8125 2.2281 1.3634 1.7959 2.2010 1.3562 1.7823 2.1788 1.3502 1.7709 2.1604 1.3450 1.7613 2.1448 1.3406 1.7531 2.1314 1.3368 1.7459 2.1199 1.3334 1.7396 2.1098 1.3304 1.7341 2.1009 1.3277 1.7291 (2.0930 1.3253 1.7247 2.0860 1.3232 1.7207 2.0796 1.3212 1.7171 2.0739