Biologists studied the relationship between embryonic heart rate and egg mass for 20 species of birds. They found that heart rate, Y, has a linear relationship with the logarithm of egg mass, X. The data are given in the following table.37
For these data the fitted regression equation is
Å· = 368.06 - 82.452*
and
SS(resid) = 15748.6
(a) Interpret the value of the intercept of the regression line, b0, in the context of this setting.
(b) Interpret the value of the slope of the regression line, b1, in the context of this setting.
(c) Calculate se and specify the units.
(d) Interpret the value of se in the context of this setting.

mass (g) mass)X (beats/min) Species Zebra finch Bengalesc finch Marsh tit Bank swallow Great tit Varied tit Tree sparrow Budgerigar House martin Japanese bunting 256 0.408 Red-cheeked starling 4.14 0.617 Cockatiel Brown-eared bulbul 6.40 0,806 Domestic pigeon 17.10 1.233 Fantail pigeon Homing pigeon Barn ow Crow Cattle egret Lanner falcon Mean 6 0.018 10 0.041 139 0.143 142 0,152 59 0.201 169 0.228 09 0.320 2.19 0.340 2.25 0.352 404 363 348 314 357 370 5.08 0.706 300 247 19.70 1.294 19,80 1297 20.10 1303 0.50 1312 27.50 1439 41.20 615 9.94 230 219 297 242 0.690 311