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3. The height y in inches, aud weight x in pounds of four people are recorded in a table. Weight x 150 180 200 220 lHeight y 60 64 72 74 (a) Compute the quantities i,y, sr. Sy, cry and r (b) What type of correlation is indicated? (c) Find the regression line for the bivariate data (d) Suppose a person weighs 195 pounds, what estimate would you give for the persons height?

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SUMMARY OUTPUT 150 180 200 60 64 72 Rearession Statistics MultipleR R Square Adjusted R Square Standard Error Observations 0.97 0.94 0.92 1.92 4.00 a) X bar Y bar Sx Sy Cx 187.50 67.50 29.86 6.61 143.75 0.97 Formula average Formula average Formula = stdev.s Formula stdev.s Formula covar Formula correl ANOVA Ms Significance F Regression Residual Total 1.00 2.00 3.00 123.60 123.60 33.40 0.03 7.40 3.70 b) Strong positive correlation is indicated since correlation = 0.97 131.00 coefficients standard Error t Stat P-value 7.04 3.86 0.06 0.03 Lower 95% Upper 95% 57.49 0.37 c) Regression Line, Y = 27.20 + 0.21 * X Intercept 27.20 3.10 0.05 0.21 0.04 5.78 d) Suppose X 195, then Y is 69.11

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