Scientists studied the relationship between the length of the body of a bullfrog and how far it can jump. Eleven bullfrogs were included in the study. The results are given in the table.16
(a) Calculate the linear regression of Y on X.
(b) Interpret the value of the slope of the regression line. b1, in the context of this setting.
(c) What proportion of the variation in maximum jump distances can be explained by the linear relationship between jump distance and frog length?
(d) Calculate the residual standard deviation and specify the units.
(e) Interpret the value of the residual standard deviation in the context of this setting.

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Bullfrog Length X (mm) Maximum jump Y (cm) 155 127 136 135 158 145 136 172 158 162 162 49.6364 710 70.0 100,0 120.0 103.3 116.0 109.2 105.0 112.5 114.0 122.9 03.9909 10 Mean SD 14.4725 17.9415 r 0.28 166 SS(resid) 2,963.61