By J. Hine
Exercises for part 2 forty two actual sciences and engineering forty two forty three organic sciences forty five Social sciences options to routines, part 1 forty seven actual sciences and engineering forty seven forty nine organic sciences forty nine Social sciences strategies 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 assessments F-distribution 66-69 Preface This venture began a few years in the past while the Nuffield origin kindly gave a supply for writing a professional grammed textual content to exploit with carrier classes in records. The paintings performed by way of Mrs. Joan Hine and Professor G. B. Wetherill at bathtub college, including another support now and then via colleagues at bathtub college and in other places. checking out used to be performed at a variety of faculties and universities, and a few precious reviews have been got, yet we quite point out King Edwards college, tub, who supplied a few 6th formers as 'guinea pigs' for the 1st checking 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 checks, with a few intro duction to regression, assuming no wisdom of data to begin, and to do that in the sort of approach that scholars reach a point of knowing of the underlying reasoning. provider classes are usually anything of an issue to stats departments.
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Extra info for A Programmed Text in Statistics Book 4: Tests on Variance and Regression
B ( ... )2 158 -0 = ... ). ) 5. Notice that the value of b is positive which (agrees/does not agree) with the fact that the 'rough' regression line slopes upwards. 6. ) 24 7. The regression of y on x is given by '" (in symbols). y = y + b(x -i) = Therefore, in this example y = ... (x- ... )+ ... y y = ... + .... 44x II. We will now work example II given in the introduction. No. of pupils per teacher Percentage of pupils passing 3 GeE subjects 5 6 17 19 12 10 16 13 18 8 7 5 7 3 4 5 9 3 11 20 22 13 19 8 Calculate the regression of pupils passing on number of pupils per teacher.
Therefore the significant values for n = 11 (will/will not) be approximately equal to these values. 96 (does/does not) lie outside the limits. Therefore we can say there (is/is not) a significant linear relationship between temperature and the yield. does is II. Compute and interpret the correlation coefficient for the following grades of 6 students selected at random Maths grade (x) English grade (y) 70 74 92 84 80 63 74 87 65 78 83 90 4. <11. rn ~ 70 x 60 60 70 80 Moths grade 5. From this diagram it would appear that there (is a/is no) relationship between the two sets of grades.
Of the regression line (see Frame 2 if in difficulty). e. it gives the increase in y for a unit increase in x. 5. Consider the example given in Frame 3. 44. 30 temperature yield 6. Give the regression coefficients for the following examples and also the interpretation you would place on the coefficients. 1. 46 in the number of pupils passing. 2. 14x. 14. Summary To calculate regression of y on x. 1. (i) (ii) Plot a scatter diagram; from this it can be ascertained whether a relationship between the two variables does in fact exist.
A Programmed Text in Statistics Book 4: Tests on Variance and Regression by J. Hine