Regression Equations and Slopes

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1984

Answer the question.

6

Answer the question.

Negative

Determine what kind of correlation the points have.

None

Determine what kind of correlation the points have.

Positive

Determine what kind of correlation the points have.

-1

Find the slope of the line graphed.

2

Find the slope of the line graphed.

1/5

Find the slope of the line through the given points.

Undefined

Find the slope of the line through the given points.

0

Find the y-intercept of the line graphed.

1

Find the y-intercept of the line graphed.

6/5

Solve the equation 6w + 1 = -4w + 13

Linear Regression

The line that models the relationship between two variables in a data set by producing a line of best fit

Correlation Coefficient

The value between -1 and 1 which indicates how close the data are to the graph of the regression equation

Extrapolation

Using a linear regression line to make predictions outside of the data set.

Interpolation

Using a linear regression line to make predictions within the data set.

-.8

What is a reasonable r-value for the following graph?

.01

What is a reasonable r-value for the following graph?

.85

What is a reasonable r-value for the following graph?

y= -2x - 5

Write the equation of a line with slope -2 through (0,-5)

y = 3x + 1

Write the equation of a line with slope 3 through (0,1)

y = 3x - 1

Write the equation of the line with the given slope through the given point.

y= -2x + 5

Write the equation of the line with the given slope through the given point.

Slope

m = (y2 - y1) / (x2 - x1)

slope-intercept form

y=mx+b, where m is the slope and b is the y-intercept of the line.


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