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DAILY GRADE #6 --- 20 minutes Test Ch 1 & 2 Mon THQ#2 Due Thurs. AP STAT Section 3.2: Least Squares Regression Part 3: Interpreting Residual Plots. EQ: How do you use Residual Plots to assess how well a LSRL fits a data set?.
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DAILY GRADE #6 --- 20 minutes • Test Ch 1 & 2 Mon • THQ#2 Due Thurs
AP STAT Section 3.2: Least Squares Regression Part 3: Interpreting Residual Plots EQ: How do you use Residual Plots to assess how well a LSRL fits a data set?
---scatterplot of the regression residuals against the predicted value; assess how well a LSRL fits Residual Plots LINEAR ASSOCIATION: No Pattern Evident Pattern Evident NONLINEAR ASSOCIATION:
Ex 1: No pattern in the residual plot, linear association appropriate
Ex 2: No pattern in the residual plot, linear association appropriate
Ex 3: Patternin the residual plot, linear association not appropriate.
Ex 3: Patternin the residual plot, linear association not appropriate.
Ex 3: Patternin the residual plot, linear association not appropriate.
Ex 3: Patternin the residual plot, linear association not appropriate.
Use your graphing calculator to create a residual plot using NEA and FAT. • To make sure the LAST regression equation your calculator found was for NEA vs FAT, recalculate the scatterplot and the LSRL forNEA vs FAT. • Now the residualsfor this plot are stored in a list called RESID.
Use your graphing calculator to create a residual plot using NEA and FAT. • Go to STATPLOT and cut on PLOT1. Select the first graph. • Choose NEA as Xlist and RESID as Ylist.
Use your graphing calculator to create a residual plot using NEA and FAT. • RESID is the list of the LAST RESIDUALS your calculator created. • ZOOM9 Compare to Residual Plot on p. 219.
SCATTERPLOT LSRL RESIDUAL PLOT
Go back to WS "Calculating Regression Lines“. Answer the question in Part 3. REMEMBER: You must recalculate the LSRL for this data because RESID contains the residuals from NEA and FAT.
MUST HIT Points When Deciding Upon a Linear Association: [DON'T RELY ON JUST ONE] 1. Observe Scatterplot for Linearity 2. State Correlation Coefficient --- strong vs weak 3. State Coefficient of Determination --- strong vs weak 4. Observe Residual Plot --- pattern (nonlinear) vs no pattern (linear)
Assignment : pp. 220 - 222 #39, 40, 42 pp. 227 - 228 #43, 44, 47, 48 pp. 230 - 233 #49 - 51, 53, 55