Graphing/Writing Equation in Slope Intercept Form
What is the equation for Slope-Intercept Form?
y=mx+b
What is the equation of Point-Slope Form?
y-y1=m(x-x1)
What is true about slope of parallel lines?
The slope of parallel lines are equal.
It shows the relationship between a set of data with two variables, graphed as ordered pairs on coordinate plane.
What is linear regression?
It is an algorithm that helps create a best-fit line.
Write an equation of a line in slope intercept form with the given information.
slope:3/4, y-intercept: -1
y=3/4x-1
Write an equation in point slope form that passes through each point and slope given.
(5,3), m=7
y-3=7(x-5)
What is true about the slope of perpendicular lines?
The slope are negative reciprocals.
What is the difference between association and causation?
Association: Two variables that have a pattern, but the variables do not affect one another.
Causation: Two variables that have a pattern, but the variables do affect one another.
What is the correlation coefficient?
It says how accurate the best-fit line is to the scatter plot.
What is the equation of the graph shown?
y=1/2x-3
Write an equation in point slope form that passes through each point and slope given.
(-6,0), horizontal line
y=0
Write an equation slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation.
(4,-3), y=3x-5
y=3x-15
What are the three types of correlation in scatter plots?
Positive, Negative, and No Correlation
What is the best-fit line?
It is a more precise line of fit that is calculated with a calculator.
Write and equation of the line that passes through the given point and has the given slope.
(2,5), slope -1
y=-x+7
Write an equation in point slope form that passes through each point and slope given.
(-2,11), vertical line
x=-2
Write an equation slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation.
(-3,-2), y=-2x+4
y=1/2x-1/2
What kind of correlation is represented in the graph?
It is a positive correlation.
How do we tell the accuracy of the best-fit line just by looking at the correlation coefficient?
The closer to 1 or -1, the more accurate the best-fit line. The closer to 0, the less accurate the best-fit line.
Write an equation that passes through each pair of points.
(-5,3),(0,-7)
y=-2x-7
Write an equation in point slope-intercept form that passes through each point and slope given.
(4,-2),(-8,-4)
y=1/6x-8/3
Determine whether the graphs are parallel, perpendicular, or neither.
y=-2x
2x+y=3
They are parallel.
What kind of correlation is represented in the graph?
No correlation.
Find the best fit-line for the coordinates below:
{(2007,30),(2008,23),(2009,41),(2010,35),(2011,31),(2012,43),(2013,33),(2014,45)}
y=1.86905x-3722.59524