Question

Use the given summary statistics to do the calculations in examples 9-12. n-10, Ex = 111, Ex? = 1371, 2y = 76, Ey? = 754, Exy = 702, b. = 18.9157, b, = -1.0194, x, = 15 n(Exy) -(Ex)(y) Example 8: Calculate the Correlation Coefficient, r = Vin(Ex')-(Ex)"][n(Ey) -(Ey)'l If you are unable to evaluate this expression as a whole, break it up into pieces using order of operations. Work to 5 decimal place in a - d) and round final answer in (e) to 4 decimal place (a) Numerator = n(Exy)- (2x)(y) = 10 . 702 - 111.76 = -1 (b) A = [n(Ex?)-(Ex)?] =10.1371 - 111^2 = 1389

Answer 1

Given, &y= 76 24 154 Ex=111 x² 1371 Sxy= 102 b6 18.9157 D-10 xna 15. bi = -1.0194 8solt a Numeratore : Exy)- (8x)(EY) 10 (402) - (012) (76) - 7020 - 8436 = -1914 [6A = [n (Ex) - (ED)] = 10(137)- () 13710 - 12321 = 1389 1 LCD B= (n/Ey?)- (EY)} 101754) - (7632 7540 - 5776 = 1764 Denominator = orege (Ex} (24²) - (EY) ] = 2,450, 196 = 1565.310 E V(1389) (1764) Numerator - -1416 -0.9046/ le) r- 16665.310 Denominator I sy²-bo Ey-b, Zay a solo enor Standard -2 7542 (18.9157)(76) - (-1.0194) (702) 10-2 754 1437. 5932 + 715.6188 8 32.0256 - 14.0032 = 2.0

losolo Sample mean mean & EX Isoli 11+ I + 10(15 - .102 1 + + 0176-7) (Ex) (E92 10 (1371)-(HD? +0.1 + 152/ 13710-1232) 10.1 + 152/ 1389 Vitool to. 10950 √ 1.20950 = 1.09977274 12501 Average Enam Score 85+70+ 90+ 75 320 ¿ 80 (b) Weighted mean = 0.10190) + 0.5(80) 70.40170) 0.10+0.5 +0.40 I 9+ 40+ 28