Basic Statistics
CHAPTER 12 REGRESSION AND CORRELATION In previous chapters, one variable was usually studied at a time. An exception to this was ...
166 REGRESSION AND CORRELATION other time consuming and expensive. It would be useful to have a regression equation that would a ...
THE SCATTER DIAGRAM: SINGLE SAMPLE 167 155 - mi 5 150- E h Table 12.1 Weights and Systolic Blood Pressure for 10 Males 5 145 ...
168 REGRESSION AND CORRELATION 12.2 LINEAR REGRESSION: SINGLE SAMPLE In this section we first show how to compute a linear regre ...
LINEAR REGRESSION: SINGLE SAMPLE 169 Table 12.2 Calculations for Regression Line Number Weight SBP" (X - x)' (Y - 7)' (X - x)(Y ...
170 REGRESSION AND CORRELATION 12.2.2 Interpreting the Regression Coefficients The quantity b = .2903 is called the slope of the ...
LINEAR REGRESSION: SINGLE SAMPLE 171 120 4 140 160 180 200 220 240 260 Weight (Ib) Figure 12.2 Least-squares regression line, Y ...
172 REGRESSION AND CORRELATION I X Figure 12.3 Position of regression line for bivariate normal distribution. because both the s ...
LINEAR REGRESSION: SINGLE SAMPLE 173 distributed; many computer programs will allow the user to check the distribution of the re ...
174 REGRESSION AND CORRELATION Table 12.3 Parameters and Statistics for the Single-Sample Case Population Parameters Sample Stat ...
LINEAR REGRESSION: SINGLE SAMPLE 175 Here we used a t value from Table A.3, which corresponds to the area up to .975 in order to ...
176 REGRESSION AND CORRELATION Most computer programs furnish only limited or no confidence intervals for linear regression. The ...
THE CORRELATION COEFFICIENT FOR TWO VARIABLES FROM A SINGLE SAMPLE 177 12.3 THE CORRELATION COEFFICIENT FOR TWO VARIABLES FROM A ...
178 REGRESSION AND CORRELATION Y r=-l ** I -* 1 *a* X r=+~ t * f Y X r= +1 a* I ** 0. Figure 12.4 Scatter diagrams with T = -1 a ...
THE CORRELATION COEFFICIENT FOR TWO VARIABLES FROM A SINGLE SAMPLE 179 12.3.3 The Population Correlation Coefficient The observa ...
180 REGRESSION AND CORRELATION By substituting in the values from the sample of 10 adult males, we have (^357) - .857 t= J(1 - . ...
LINEAR REGRESSION ASSUMING THE FIXED-X MODEL 181 12.4.1 In the fixed-X model, the values of X are selected by the investigator o ...
182 REGRESSION AND CORRELATION Y CY xu 1 X(2) 43) Figure 12.6 Graph depicting assumptions for the fixed-X model. I xu 1 X(2) Fig ...
OTHER TOPICS IN LINEAR REGRESSION 183 I X Figure 12.7 Shape of a nonlinear regression curve. 12.5 OTHER TOPICS IN LINEAR REGRESS ...
184 REGRESSION AND CORRELATION 12.5.2 Effect of Outliers from the Regression Line An outlier is an observation that deviates app ...
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