What is the equation for Slope intercept form
y=mx+b
What is the equation for standard form
Ax + By = C
When the values of one data set increases and the other decreases, this is called a ___________ correlation.
negative
A positive correlation means that as x increases y_________.
Also increases
If our slope is negative.. our residual is _____.
negative
Determine the slope and y-intercept of the following equation. y = -x +3
m=-1 b=3
What is the equation for point slope form
y=m(x-x1)+y1
When the values for both data sets increase this is called a _______________ correlation.
positive
An r value of 0 means_________
No Correlation
Describe a correlation of -0.9 in terms of strength (weak, moderate, or strong) and direction.
Strong, negative.
y=-2x+3
Melody paddles her kayak at an average speed of 4 miles per hour. After 3 hours of canoeing, Melody has traveled 15 miles. Identify the equation in point-slope form to find the total distance y that Melody travels in x hours.
y-3=4(x-15)
Negative Correlation
what does the value of r tell us?
whether there is a linear correlation between two variables
Which linear regression equation is correlation used in?
Slope Intercept
The mathematics department sponsors Math Family Fun Night every year. In the first year, there were 35 participants. In the third year there were 57 participants.
y = 11x + 24
Use the following to write your equation in point slope form. m=-2; (-2, -3)
y=-2(x+2) - 3
nonlinear, negative trend
As temperatures rise... Crime rate rise.
Causation
A restaurant's menu items are compared in terms of correlation. Sugar versus Calories have a correlation of 0.25. Sugar versus Protein has a correlation of -0.68. Which has a stronger correlation?
Sugar versus Protein.
You are visiting Baltimore, MD. A taxi company charges a flat fee of $3.00 plus an additional $0.75 per mile. Write an equation that you could use to find the cost of a taxi ride in Baltimore, MD.
y=0.75x+3
Use the following to write your equation in point slope form. (3, 4) (4, 7)
y=3(x-3) + 4 or y=3(x-4) + 7
What is a line of best fit?
An average or line that hits the most points as possible
As the number of years a person works at their same job, the amount they get paid increases.
Correlation, it is likely to happen.
A student says, "There was a very strong correlation of 1.22 between Sugar and Fat content." Explain the mistake made here.
Correlation is between -1 and +1.