Mathematics, 02.04.2020 03:08 davismar3
An ornithologist wants to look at the relationship between the breadth of peregrine falcon eggs and the mass of the falcon chicks that hatch from them. The data show a linear pattern with the summary statistics shown below:
mean standard deviation
x=x=x, equals egg breadth (\text{mm})(mm)left parenthesis, start text, m, m, end text, right parenthesis \bar{x}=41
x
ˉ
=41x, with, \bar, on top, equals, 41 s_x=2.3s
x
=2.3s, start subscript, x, end subscript, equals, 2, point, 3
y=y=y, equals chick's mass (\text{g})(g)left parenthesis, start text, g, end text, right parenthesis \bar{y}=33.6
y
ˉ
=33.6y, with, \bar, on top, equals, 33, point, 6 s_y=4.6s
y
=4.6s, start subscript, y, end subscript, equals, 4, point, 6
r=0.95r=0.95r, equals, 0, point, 95
Find the equation of the least-squares regression line for predicting the chick's mass from the breadth of the egg.
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