- Of the 5 glm() models you ran, which appears to be the best model? Support your answer by providing the relevant information from your R output. You should also provide ΔAIC values for all 5 models in your answer.
- Of your 5 models, what was the model weight (Akaike weight) of the second best model? Show your calculation of this value.
- Provide the image of the graph showing the confidence and prediction limits for the role of latitude in explaining elevation of ponderosa pine.
- Provide the 95% confidence and prediction limits, as well as the predicted point value of elevation for ponderosa pine at 39.006 degrees N latitude?
Obtain the general solution of the following DEs: i. y′′′ + y′′ − 4y′ + 2y = 0 ii. y(4) + 4y(2) = 0 iii. x(x − 2)y′′ + 2(x − 1)y′ − 2y = 0; use y1 = (1 − x) iv. y′′ − 4y = sin2(x) v. y′′ − 4y′ + 3y = x ; use y1 = e3x vi. y′′ + 5y′ + 6y = e2xcos(x) vii. y′′ + y = sec(x) tan(x)
Obtain the general solution of the following DEs: i. y′′′ + y′′ − 4y′ + 2y = 0 ii. y(4) + 4y(2) = 0 iii. x(x − 2)y′′ + 2(x − 1)y′ − 2y = 0; use y1 = (1 − x) iv. y′′ − 4y = sin2(x) v. y′′