4.) You want to examine the relationship between foot length and height so you c

Question

4.) You want to examine the relationship between foot length and height so you collect data from 10 individuals. You want to know if height predicts foot length. Summary data is presented below. Height (cm) Foot length (cm) Subject X YA2 1 141 19881 361 2679 2 142 20164 529 3266 153 23409 22 484 3366 158 24964 784 4424 172 29584. 26 676 4472 182 33124 441 3822 7 194 37636 729 5238 184 33856 32 1024 5888 180 32400 784 5040 10 167 27889 3674 1673 282907 248 6296 41869 mean 167.30 24.80 r2 0.3266 a calculate the equation for the linear negression between the two variables (10)

Explanation / Answer

(a) equation of linear regresssion between two variables

Ans:using Excel

     

The regression equation is Y=3.7855+0.1256X

SUMMARY OUTPUT Regression Statistics Multiple R 0.571506394 R Square 0.326619558 Adjusted R Square 0.242447003 Standard Error 3.500789059 Observations 10 ANOVA df SS MS F Significance F Regression 1 47.5558077 47.5558077 3.880356936 0.084361635 Residual 8 98.0441923 12.25552404 Total 9 145.6 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 3.785508112 10.72528796 0.352951653 0.733243945 -20.94705025 28.51807 -20.9471 28.51807 X Variable 1 0.125609635 0.063765697 1.969862162 0.084361635 -0.021434327 0.272654 -0.02143 0.272654

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