Unit 1 Flashcards
What is the correlation coefficient formula?
r= n(Exy)-(Ex)(Ey) / square root n(Ex^2)-(Ex)^2 • square root n(Ey^2)-(Ey)^2
What is the equation for finding the slope of a least squares line?
M= n(Exy)-(Ex)(Ey) / n(Ex^2)-(Ex)^2
What is the equation for finding the y intercept of a least squares line?
B= Ey-m(Ex) / n
What are the three rules for finding horizontal asymptote?
- if numerator is less than denominator degree, y=0
- if numerator is equal to denominator degree, y= a/b
- if numerator is greater than denominator degree, there is no asymptote
How do you find the slope of a line when given two points?
M= y2-y1/ x2-x1
What is the point slope form of an equation line?
y-y1=m(x-x1)
What is slope intercept form of the equation line?
y=mx+b
How do you find the slip of a line when you have a perpendicular lines slope?
It is the negative inverse
Slope=5
Slope= -1/5
What is the coefficient of determination?
R
R=r^2
What is the least squares line?
Y=mx+b
What is the formula for finding the vertex (h, k)
h=-b/2a
k=c-ah^2
How do you complete the square to get vertex point form?
Take ax^2 +bx+c Take a out A(x^2+(b/a)x) + c a(x^2 + (b/a)x + (b/a)^2) + c - (a(b/a)^2) a(x+square root (b/a))^2 + ^
How do you find the turning points in a polynomial?
N-1
The degree minus 1
How are the degrees different for proper rationals and improper rationals?
Rational- p(x)/q(x)
Proper- degree p < degree q
Improper- degree p > or equal to degree q
How can improper rationals be re written to find horizontal asymptote?
P(x)/q(x) = s(x) + t(x)/q(x)
2x2+3
X2-1 = 2+ 5/x2-1
Because you long divide x2-1 into 2x2+3