Question

answer c-e

2. Consider the following ordered pairs a. First draw a scatter plot with this information LHHHH b. Then write the equation of a line. O i 234567 Y=9.5-0.58 c. Calculate the slope and y intercept for the linear regression equation d. Calculate the SST e. Partition the SST into SSR and SSE f. Calculate the coefficient of determination

Answer 1

we have given data : a (Answer c-e) lodim of g intercept for the linear © calculate the slope regression equanon: Ty = qt be where [as ý bz] = constant & SD first find i, j, soe, sdy, r. is eri = [7+6+2+3) = 645)

སྦྱོ= ; = CC + + ༢ +s] - ྋ༡ |= 4༢s E\71) （z། CC++s） + c88) + c25 ༡） + (388) _ +48 + [8 | 。 ， ༥༧ + 1 | ང " [=315 sp=།། ༣༣ ད ང++C༣-༥༡༤༥ (6-5,5) ++ [ 6:23 + 1-25+ ༤༢ + 2. ༡༦) |= -3ཙ༠༥) （༢-༥:s)+（3 -༥: ༦)27 : + 2. 36

soy = Shy E14;25)2 = [** [66-4-25/2+18-7.2512 +(9-7.252 +86-7.2514]. = 55*1.5625+0.5625+ 3.0625 +1.5625) = 52-25= 151 cor (x1) = Ella) (4-) n-1 2¢ CE +-4-5) +(6-7-28)] + [6-4.5) * 68 - 7.25)] + 1(2-4.5) +(9-7.25)] + [13-4.5) # (6 -7.25)]

af (-3.125 + 1.125 – 4.375 +1.873] = -4.5 -1.57 coviti 92. Sox soy = -1.5 (2-3804*1.5) -0.4200 b= -0.4200 + lisou) E -0.2647 2-3804 9= 7.25- (-0.2647 * 4.5) = 8.4401 1 y = 8.4411 + (-0.264 7 x) y = 8.4411 -0.2647 x

€ SST = {(4;- 9/2 = 166-7.2592 +18-7-25)2 + (9-7.2552+ (6-7.2 = (1.5625 + 0.5625 +3.0625 + 1.5625) ( 6.75 © sst into arr & SSE SSE= El 4; – 9;12-616-(8.4411 -0.264+*+))?]+ [18-(8-441,-0.264+ * 6)]2+ [12-18.4411 - 6-2007 9)]2+ [16-(8-4411 -0.2547 *3))]? E 5.5588] SSR = NST - SSE = 6-75- 5.5580 E 1-19112

F. Coefficient of determination value is r square 0.1764