STANDARD S.ID.B.6
AI
Represent bivariate data on a scatter plot, and describe how the variables’ values are related.
It’s important to keep in mind that the data must be linked to the same “subjects,” not just two unrelated quantitative variables; being careful not to assume a relationship between the actual variables (correlation/causation issue).
a. Fit a function to real-world data; use functions fitted to data to solve problems in the context of the data. Emphasis is on linear models and includes the regression capabilities of the calculator.
AII
Represent bivariate data on a scatter plot, and describe how the variables’ values are related. It’s important to keep in mind that the data must be linked to the same “subjects”, not just two unrelated quantitative variables. Do not assume that an association between two variables implies that one causes another to change.
a. Fit a function to real-world data; use functions fitted to data to solve problems in the context of the data. Emphasis is on quadratic, exponential, and power models, including the regression capabilities of the calculator.
Worksheet: S.ID.B.6: Regression 2
Khan Academy Practice: Link
Khan Academy Practice: Link
Follow these steps: TI-83 Reference for Linear Regression and Correlation Coefficient
https://www.mathbootcamps.com/find-the-correlation-coefficient-r-on-your-calculator-ti83-84/
Steps to get the Equation of linear regression
Press Stat, then enter your data table in L1 and L2
Press Stat, Calc, then scroll down to 4.LinReg(ax + b). Press enter twice.
Your equation will be generated along with r squared and r.
r is your correlation coefficient. If r is not showing up you need to Diagnostic On.
Press [2nd] and then [0] to enter your calculator’s catalog. Scroll until you see “diagnosticsOn”.
https://mathspace.co/
Ti 83/84 instructions on Linear Regression and Correlation Coefficient
So the Equation of Linear Regression is: (If being asked to round nearest hundredth)
y = ax + b
y = .52x + 0.28
Correlation Coefficient
r = .80
Strong Positive Relationship