An ecologist studying breeding habits of the common crossbill in different years finds that there
is a linear relationship between the number of breeding pairs of crossbills and the abundance of
the spruce cones. below are statistics on eight years of measurements, where x= average
number of cones per tree and y = number of breeding pairs of crossbills in a certain forest.
mean
23.0
18.0
standard deviation
16.2
mean number of cones/tree
y = number of crossbill pairs
105
the correlation between x and y is r=0.968
16. find the equation of the least-squares regression line (with y as the response variable).

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.