Unit 1 Flashcards

1
Q

What is the correlation coefficient formula?

A

r= n(Exy)-(Ex)(Ey) / square root n(Ex^2)-(Ex)^2square root n(Ey^2)-(Ey)^2

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2
Q

What is the equation for finding the slope of a least squares line?

A

M= n(Exy)-(Ex)(Ey) / n(Ex^2)-(Ex)^2

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3
Q

What is the equation for finding the y intercept of a least squares line?

A

B= Ey-m(Ex) / n

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4
Q

What are the three rules for finding horizontal asymptote?

A
  • 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
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5
Q

How do you find the slope of a line when given two points?

A

M= y2-y1/ x2-x1

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6
Q

What is the point slope form of an equation line?

A

y-y1=m(x-x1)

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7
Q

What is slope intercept form of the equation line?

A

y=mx+b

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8
Q

How do you find the slip of a line when you have a perpendicular lines slope?

A

It is the negative inverse
Slope=5
Slope= -1/5

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9
Q

What is the coefficient of determination?

A

R

R=r^2

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10
Q

What is the least squares line?

A

Y=mx+b

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11
Q

What is the formula for finding the vertex (h, k)

A

h=-b/2a

k=c-ah^2

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12
Q

How do you complete the square to get vertex point form?

A
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 + ^
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13
Q

How do you find the turning points in a polynomial?

A

N-1

The degree minus 1

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14
Q

How are the degrees different for proper rationals and improper rationals?

A

Rational- p(x)/q(x)

Proper- degree p < degree q
Improper- degree p > or equal to degree q

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15
Q

How can improper rationals be re written to find horizontal asymptote?

A

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

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