daily grade #6 --- 20 minutes test ch 1 & 2 mon thq#2 due thurs
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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?. - PowerPoint PPT PresentationTRANSCRIPT
AGENDA:DG7 --- 10 minutes
Go over Test Ch 1 & 2Notes Section 3.2 (part 3)
EQ: How do you use Residual Plots to assess how well a LSRL fits a data set?
AP STATSection 3.2: Least Squares
RegressionPart 3: Interpreting Residual Plots
Residual Plots ---scatterplot of the regression residuals against the predicted value; assess how well a LSRL fits
LINEAR ASSOCIATION:
No Pattern Evident
NONLINEAR ASSOCIATION:
Pattern Evident
Ex 1: No pattern in the residual plot, linear association appropriate
Ex 2: No pattern in the residual plot, linear association appropriate
Ex 3: Pattern in the residual plot, linear association not appropriate.
Ex 4: Pattern in the residual plot, linear association not appropriate.
Ex 5: Pattern in the residual plot, linear association not appropriate.
Ex 6: Pattern in the residual plot, linear association not appropriate.
Ex 7: Although a linear model seems be appropriate, there appear to be too many _____________residuals, implying this line_________________ the data.
negative
overestimates
Ex 7: Although a linear model seems be appropriate, there appear to be too many _____________residuals, implying this line_________________ the data.
positiveunderestimates
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 for NEA vs FAT.• Now the residuals for 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 Linearity2. State Correlation Coefficient --- strong vs weak3. State Coefficient of Determination --- strong vs weak4. Observe Residual Plot --- pattern (nonlinear) vs no pattern (linear)
Know the Difference Between a Normal Probability Plot and a Residual Plot
Normal Probability Plot
Is Normal Distribution appropriate?
Residual Plot
Is Linear Model appropriate?
Assignment :
pp. 220 - 222 #39, 40, 42pp. 227 - 228 #43, 44, 47, 48pp. 230 - 233 #49 - 51, 53, 55