L.T - 6.1 Function to Data
What variables you need for plugging in a data set.
X and Y
Why is it called a scatter plot?
Because the different points in the data set are scattered.
What is a regression equation?
It shows a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables.
What does each regression equation equal?
y
What are the different types of regression that we learned about?
What is the slope intercept form equation?
y=mx+b
A scatter plot is a set of ______?
data points
What is the linear regression equation?
y=ax+b
How can you determine which model fits the data set the best?
By looking at the r^2 value of each regression and seeing which has the highest percent or closest value to 1.
What is the most common type of regression?
Linear Regression
What is the line that best represents the middle of the scatter plot data?
The line of best fit or linear regression.
What is a scatter plot?
Graph where the values of two variables are plotted along two axes and the pattern of the resulting points revealing any correlation present.
How can you tell the difference between the regression equations?
Each equation is different and has a different setup of the variables present.
What is an example of a linear regression?
y=.75x+10
Example of linear regression?
Weight = 80+2x(70) = 220lbs
How would you put a data set in the calculator?
Stat -> Edit -> Type in data in L1 (x-variable) and L2 (y-variable).
What is the difference between the positive, negative, and N/A correlations in scatter plots?
Positive is when the points are scattered closely together to the right.
Negative is closely scattered to the left.
N/A is when the points are randomly scattered throughout the graph.
What does r^2 in the regression variable list mean?
When changed to a percent, it is the percent of the data that is accurate.
How do you get the r^2 value on your calculator?
Assuming you have the data already plugged into L1 and L2, you go to Stat -> Calc -> Go to all Regressions that we learned about.
Example of quadratic regression?
6x² + 11x - 35 = 0.
What is an example of a data set that could be used for a scatter plot?
People weighing 100lbs - 200lbs (x-variable)
People being 50in - 75in (y-variable)
How does a scatter plot compare to a regular graph?
A scatter plot shows the relationship between the data while a regular graph shows the trend of the data.
Once the data is in L1 and L2, how would you make the line of best fit for the scatter plot in the calculator?
You would plug in the regression equation into the "y=" button and press 2nd -> table and plug whatever number you are trying to solve for in for "x."
How could this be used in real life?
Companies could use data like this to estimate future revenue.
How do you know when to use each type of regression?
Depending on what the data shows you. For example, if the data set shows the y value constantly going up, then it is the exponential data.