cpsc+440+chapter+13+Linear+Regression+in+Matri

cpsc+440+chapter+13+Linear+Regression+in+Matri - Linear...

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CPSC 540, Linear Regression in Matrix Notation. Chapter 13. Steel, Torrie, and Dickey 1 Linear Regression in Matrix Notation - Chapter 13 Section 13.2
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CPSC 540, Linear Regression in Matrix Notation. Chapter 13. Steel, Torrie, and Dickey 2 * This is the leghorn data on Table 10.1, page 254 from STD.; OPTIONS pageno=1; data Leghorn; input body_wt food_con; cards; 4.6 87.1 5.1 93.1 4.8 89.8 4.4 91.4 5.9 99.5 4.7 92.1 5.1 95.5 5.2 99.3 4.9 93.4 5.1 94.4 ;;;; Proc Reg; model y=x; run;
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CPSC 540, Linear Regression in Matrix Notation. Chapter 13. Steel, Torrie, and Dickey 3
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CPSC 540, Linear Regression in Matrix Notation. Chapter 13. Steel, Torrie, and Dickey 4
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CPSC 540, Linear Regression in Matrix Notation. Chapter 13. Steel, Torrie, and Dickey 5
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CPSC 540, Linear Regression in Matrix Notation. Chapter 13. Steel, Torrie, and Dickey 6
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CPSC 540, Linear Regression in Matrix Notation. Chapter 13. Steel, Torrie, and Dickey 7 You can get matrix information from Proc Reg. .. * This is the leghorn data on Table 10.1, page 254 from STD.; OPTIONS pageno=1; data Leghorn; input body_wt food_con; cards; 4.6 87.1 5.1 93.1 4.8 89.8 4.4 91.4 5.9 99.5 4.7 92.1 5.1 95.5 5.2 99.3 4.9 93.4 5.1 94.4 ;;;; Proc Reg; model food_con = body_wt / all; run;
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CPSC 540, Linear Regression in Matrix Notation. Chapter 13. Steel, Torrie, and Dickey 8 Note, the all option gives you more than this output, but we are not ready to talk about all of it yet, so I have abbreviated what we are looking at. Model Crossproducts X'X X'Y Y'Y X'X INTERCEP BODY_WT FOOD_CON INTERCEP 10 49.8 935.6 BODY_WT 49.8 249.54 4671.1 FOOD_CON 935.6 4671.1 87670.34 X'X Inverse, Parameter Estimates, and SSE INTERCEP BODY_WT FOOD_CON INTERCEP 16.24609375 -3.2421875 55.26328125 BODY_WT -3.2421875 0.6510416667 7.6901041667 FOOD_CON 55.26328125 7.6901041667 44.768489583
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CPSC 540, Linear Regression in Matrix Notation. Chapter 13. Steel, Torrie, and Dickey 9 The Analysis of Variance Section 13.3 for Table 10.1 the White Leghorn data ...
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CPSC 540, Linear Regression in Matrix Notation. Chapter 13. Steel, Torrie, and Dickey 10 Table 13.1 Analysis of variance for regression Source df SS MS F P-value Regression 1 90.836 16.2** 0.0038 Residual n-2=8 5.596 Total n-1=9
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CPSC 540, Linear Regression in Matrix Notation. Chapter 13. Steel, Torrie, and Dickey 11 Standard Deviations, Confidence Intervals, and Tests of Hypothesis Section 13.4
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CPSC 540, Linear Regression in Matrix Notation. Chapter 13. Steel, Torrie, and Dickey 12 Test of slope ...
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cpsc+440+chapter+13+Linear+Regression+in+Matri - Linear...

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