Below is a table depicting the number of US citizens, in thousands, who earned a bachelor degree for each year since 2000. Year 00 01 02 03 04 05 06 07 08
Male 530 532 550 573 595 613 631 668 681
Female 708 712 742 775 804 826 855 895 918
Using the regression calculator or another tool of your choice to create a scatter plot of the data for men, where the independent variable is the year since 2000 and the dependent variable is the number of people (in thousands).

a. Often, social changes, such as education trends, show linear relationships. How well does a linear model fit the data in this problem? Justify your answer in terms of the scatterplots and in terms of the data that the regression calculator gives.

b. Using proper units, state the slopes for the functions M and F.
Slope of M:
Slope of F:

c. Explain what these slopes represent in terms of Americans earning bachelor degrees.

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step-by-step explanation:

step-by-step explanation:

assume that y=mx+n

you may see as , where

in we change places of numerator and denominator, then we insert an opposite sign

and substitute m=-1/3 in the equation y=mx+n

point (4,2), so we substitute x=4, y=2 to the equation and calculate

the answer is

step-by-step explanation:

the line y=x is the line where the x and y coordinates of each point, are equal.

so this line is the line through the origin (0, 0), which makes an angle of 45° with the x-axis.

we draw triangle abc. to reflect this triangle with respect to the line y=x, we draw perpendiculars from the points a, b and c to to line y=x, and extend the perpendiculars so that the lint y=x is a perpendicular bisector of these line segments. 

we see that a(5, 3) is mapped to a'(3, 5)

and all the other points p(a, b) of the original triangle are mapped to p'(b,a)

the last statement is true for each point x and its reflection x', also it is true that the line y=x is the perpendicular bisector of xx' and yy'.

to prove these, check the second picture.

let the coordinates of x be (a, b), we want to find the coordinates of its reflection point with respect to the line y=x, point x'.

let m be the point on the line y=x, such that xm=mx'

let n be the point (b, b) which surely is on the line.

now, x'm=mx, nm is common and m(x'mn)=m(xmn)=90°, so by side-angle-side congruence postulate, the triangles x'mn and xmn

  are congruent, so nx=nx'

clearly the x coordinate of x' is b, so the y coordinate of x' is 

b+nx'=b+nx=a

so the coordinates of x' are (b, a)

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multiple allele inheritance is traits controlled by more than 2 alleles (ex: pigeons having 3 alleles of one gene govern their feather color).