Infant Length(cm)y Age(days) times 1 Birth Length(cm) times 2 Birth Weight(kg) t
ID: 3227332 • Letter: I
Question
Infant Length(cm)y Age(days) times 1 Birth Length(cm) times 2 Birth Weight(kg) times 3 Birth Chest Size(cm) times 4 Use these data for Questions on this task. The dependent variable y is infant length at a specified number of days after birth (x1). Use Statcrunch to find the multiple regression equation using all four predictors. Find the multiple regression equation with three predictors that has the highest R-squared. Give the equation and both R-squared and adjusted R-squared. Find the multiple regression equation with two predictors that has the highest R^2.Explanation / Answer
Statcrunch is not available but I can give you answer using Minitab: Hope it will be helpful to you :-)
1.
S R-sq R-sq(adj) R-sq(pred)
2.17430 89.70% 88.23% 79.07%
Coefficients
Term Coef SE Coef T-Value P-Value VIF
Constant 19.01 5.42 3.51 0.010
Age X1 0.5180 0.0663 7.81 0.000 1.00
Regression Equation
Infant Length = 19.01 + 0.5180 Age X1
2.
S R-sq R-sq(adj) R-sq(pred)
0.773270 99.07% 98.51% 95.01%
Coefficients
Term Coef SE Coef T-Value P-Value VIF
Constant 5.6 12.7 0.44 0.676
Age X1 0.081 0.290 0.28 0.791 150.93
Birth length X2 0.771 0.669 1.15 0.301 115.88
Birth weight X3 3.069 0.951 3.23 0.023 15.11
Regression Equation
Infant Length = 5.6 + 0.081 Age X1 + 0.771 Birth length X2 + 3.069 Birth weight X3
3.
Model Summary
S R-sq R-sq(adj) R-sq(pred)
0.794196 98.82% 98.43% 96.73%
Coefficients
Term Coef SE Coef T-Value P-Value VIF
Constant 20.11 1.99 10.12 0.000
Age X1 0.4136 0.0287 14.43 0.000 1.40
Birth weight X3 2.025 0.297 6.82 0.000 1.40
Regression Equation
Infant Length = 20.11 + 0.4136 Age X1 + 2.025 Birth weight X3
Hope this will be helpful. Thanks and God Bless You :-)