Unit 2: Exploring 2 Variable Data

• r=0: No Correlation
• r= 0-0.5: Weak Positive
• r= .8-1: Strong Positive
• r=1: Perfect Positive
• r=0- -.5: Weak Negative
• r=-.8 - -1: Strong Negative
• r= -1: Perfect negative
• Interpret the Slope: For every 1 point increase in (x-variable) the (y-variable) increases by (Slope)
• Interpret the y-intercept: For a (x-variable) of (x-value of y-intercept), the (y-variable) will be about (y-intercept).
• Equation of regression: y^=a+bx b=r(Sy/Sx)
• Residual Plot: If there is a pattern the line is not a good model.
• r^2: Coefficient of Determination
• Interpretation of s: When using the LSRL with (explanatory variable) to predict (response variable), we will typically be off about a value of ( S units from response variable)
• r^2 interpretation: r^2% of the variation in (response variable) can be explained by the LSRL with (explanatory variable)