Question

7. A researcher is studying growth patterns in childrer. She collects data on the height of 10 males at two years of age and as adults. Height at 2 years (cm) Adult Height (cm) 166 85 97 189 81 166 87 171 91 184 91 182 88 187 93 191 96 182 87 169 a) Use technology to determine the most appropriate regression equation. (Again you need to decide after looking at the data when it is plotted whether you think it is represented best by a linear, quadratic or exponential relationship). b) How well do you think the 2-year height predicts adult height? Back up your answer with an explaination.

Answer 1

SUMMARY OUTPUT 195 HEIGHT AT 2 YEARS ADULT HEIGHT 85 166 97 189 M 190 81 166 185 LLLLLLL 87 171 Regression Statistics Multiple R 0.805836455 R Square 0.649372393 Adjusted R Square 0.605543942 Standard Error 6.111155621 Observations 10 91 184 180 adult height (cm) 91 182 175 Series1 88 187 -Linear (Series1) 93 191 170 96 182 ANOVA 165 87 169 df SS MS F Significance F 0.004883165 160 1 80 85 90 95 100 Regression Residual Total 8 553.3302158 553.3302 14.81623 298.7697842 37.34622 852.1 9 height at 2 years (cm) Towaren Intercept X Variable 1 Coefficients Standard Error Stat P-value 37.3705036 36.76754914 1.016399 0.33919 1.577338129 0.4097849 3.849186 0.004883 Lower 95% Upper 95% -47.4156167 122.1566239 0.632372455 2.522303804 a) y=37.3705+1.57733* height at 2 years b) R SQUARE VALUE=0.6433=64.33% 64.33% VARIATION IN ADULT HEIGHT EXPLAINED BY THE HEIGHT AT 2 YEARS YES HEIGHT AT 2 YEARS CAN PREDICT ADULT HEIGHT