Statistics project

The relationship between Height and forearm length

The following Formulae are used to compute different statistics

X ?xi ?n ?yi ?n

Median 1 /2[n /2 (n 1 /2 1 )] if the values are even numbers

Mode 3Meian-2Mean

Range R2-R1 where R2 is the greatest Value and R1 is the smallest Value (xi ?X ) 2 ?n similarly for Y variable (yi ?Y ) 2 ?n

r ?[ (xi ?X (yi ?Y )] /n (X .n (Y (Y (X 'a ' intercept is computed by the following equation

a y-bX

Computation

X 51 .8

Median (x 54 .35 , Mode (X 59 .45 (X 15 .2

Range (X 71 .06285- 12 .9921 58 .07075 8 .26 , Median (Y 8 .47 , Mode (Y 59 .71 (Y 1 .85

Range (Y 10 .70864 -4 .7244 5 .98424

r 0 .951518 , r2 0 .905386

Calculation of regression line

The line of regression of y on x is given by

Y a bX , where 'a ' is intercept and 'b ' is slope of the regression line 'a 6 .1137 and 'b 0 .1158

y 2 .41 0 .11x is regression line -

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hY

hY

4which correspond to heights 62 .95263 and 58 .85815 respectively are outliers of the distribution because these values make the regression line little bit skewed . The standard deviation of series shows how values are dispersed around the mean one standard deviation...