A Programmed Text in Statistics Book 4: Tests on Variance by J. Hine

By J. Hine

Workouts for part 2 forty two actual sciences and engineering forty two forty three organic sciences forty five Social sciences strategies to workouts, part 1 forty seven actual sciences and engineering forty seven forty nine organic sciences forty nine Social sciences suggestions to workouts, part 2 fifty one fifty one actual sciences and engineering fifty five organic sciences fifty eight Social sciences sixty two Tables 2 sixty two x - assessments regarding variances 2 63,64 x - one tailed checks 2 sixty five x - tailed exams F-distribution 66-69 Preface This undertaking begun a few years in the past whilst the Nuffield beginning kindly gave a supply for writing a professional­ grammed textual content to take advantage of with carrier classes in facts. The paintings conducted via Mrs. Joan Hine and Professor G. B. Wetherill at bathtub college, including another support at times by means of colleagues at bathtub college and somewhere else. trying out was once performed at a variety of faculties and universities, and a few useful reviews have been bought, yet we fairly point out King Edwards institution, bathtub, who supplied a few 6th formers as 'guinea pigs' for the 1st trying out, the Bishop Lonsdale collage of schooling, and Bradford collage. 2 OUf goals within the textual content are to take scholars to using usual t, F and X exams, with a few intro­ duction to regression, assuming no wisdom of information to begin, and to do that in this sort of manner that scholars reach some extent of figuring out of the underlying reasoning. carrier classes are usually whatever of an issue to statistical data departments.

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632. 99 is significant. e. there is a Significant relationship between the amount of potassium bromide which will dissolve in 100 gm of water and the temperature of the water. 2. 100 x x 90 y x x positive correlation 80 70 /. ). 632. e. there is a significant relationship between the two grades. egression I. See physical sciences and engineering - Regression; no: 1. 2. 9865 which agrees with the fact that the 'rough' regression line slopes 'upwards'. 15. 11. e. 99 gm in the weight of right leg.

99 Fig. 1 strength of grip ... ;:::: .... : ............. ;. _ .. ......... • ~ *. : .. *... . -..... *•• .. .... ~ to .. * . -. Age Fig. 197 x Some calculations I. Firstly we will consider the example concerning the effect of temperature on the yield of a chemical process. This example was used earlier in the section and the following table and scatter diagram were constructed. 3 x Y 1 5 4 -5 -4 -3 -2 -1 0 7 10 8 9 13 14 13 18 1 2 3 4 5 LX =0 LY X2 xy 25 16 9 4 1 0 -5 -20 -12 -14 -10 0 9 26 42 52 90 1 = 102 4 9 16 25 2 LX = 110 LXY y2 1 25 16 49 100 64 81 169 196 169 324 = 219 -61 158 Ly2 = ...

39. 38 Result Age 1 2 3 4 No. 10 6 7 9 10 7 7 6 11 4 11 12 13 14 10 11 5 5 9 9 8 5 11 IS We will consider the following three sets of data. (i) results 1 - 5 (ii) results 1 - 10 (iii) results 1 - 15. 15. In the diagram below we have plotted the scatter diagrams for the three sets ofdata. Results 1-5 20 III Q) III 5a. :: o 5 x x z 5 Age 39 la' 15 Results 1-10 20 1/1 GI 1/1 c: 8. c: L. 0 > 10 GI a; L. L. "- 0 5 0 z 5 Age 10 15 10 15 Results 1 -15 20 1/1 GI 1/1 c: a. 15 0 1/1 GI L. : L. e. we would expect the coefficient of correlation to (vary/remain constant) as n increases.

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