Question

A study analyzing the relationship between the age in years of a particular species of fish and its weight in pounds produces the following data set: xage 2 3 4 4 5 5 7 (years) y: weight (pounds) 6 6 8 9 2 13 15 The summary data for the study is: n=7. Ex = 30, y = 66, Exy = 313, 3x? - 144, 2y2 = 692, SSX – 15.43, SSxy - 30.14, SSyy = 69.71, Slope of regression line = 1.95333 1. Determine the sum of squared errors, SSE. (Select] 2. Determine the sample standard deviation of the errors, se Select ces 3. Construct a 90% confidence interval for the slope of the population regression line. ner slon B. (Select)

Answer 1

-69.71 Given, n=7, EX=30, Ey=66 Exy=313,{x²=144, {y2=692 SSxx = 15.43, SSxy = 30.14. SSyy = and slope of reqcession diñe B, = 1.95333

69.71-58.8734 0 We know that, SSE = SSyy-B, SSxy = 69.71- (1.98333* 3014) essosse E 10.8366 Hence the sun of squared SSE= 10.8366

We know theid? SA = SSC ท-2 10.826 - 1.27аа Tlence, the sample standard deviahias of the errors ? (. Чаа क s

3 The standard deviathos of ê as. SE68,2= St Issxx 1.4722 ✓ 15.43 0.3748 : 0.3748 SECB) Know lhians, Here we B - B Se (8 &(n-a)

Thiem 1001-29% confidence lulegval is given as for ßi ⓇIBAS SECB) El-q sp (Br for ny SEP= 8,5 + tg masse 3 =1-4 Then 100(100% confidence incisual for p as (Rt tema).SEB]

2e house 2 h-7. ад - O10 lion 2 as В : 1-26333 ад seg) - от 1 го, совет дисе шеде fіr ge га -assas t (ous sy" болоs s* 0 370 1 61, 2:70867 Tencen a 90% confidence ligual for the scope of the population regression (1901, этооё | 2 line as )