Ineed !

the linear regression model for the data set below has an r^2 value of about 0.67.
what does this indicate?

a. about 67% of the differences in the populations can be explained by the regression line
b. about 67% of the predictions made using linear model are correct
c. about 45% of the differences in the populations can be explained by the regression line

about 67% of the differences in the populations can be explained by the regression line

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)