A spring is attached to the hook of the iolab. The following…

A spring is attached to the hook of the iolab. The following data is collected showing the spring force (in N) on the vertical axis plotted as a function of position on the horizontal axis (in meters).  From this data, determine the equilibrium position of the spring (approximately). In case you find it hard to read the summary statistics on the right, the slope of the best fit line is approximately -2 and the intercept is approximately 0.4. 

Question 4: Full Model Search – 8 points For this question,…

Question 4: Full Model Search – 8 points For this question, use the trainData. How many models can be constructed using subsets drawn from the full set of variables? (2 points) Compare all possible models using Mallow’s Cp. Display the variables included in the best model and the corresponding Mallow’s Cp value. (2 points) Use the selected variables from Q4b to fit another multiple linear regression model, call it best_model. Display the model summary. (2 points)’ Compare the models (model1, model2, forward_model,backward_model, best_model, both_model) using Adjusted R^2 and AIC. Which model is preferred based on this? (2 points)

Two masses are connected as shown in the figure. In this que…

Two masses are connected as shown in the figure. In this question, the numbers will not be needed. The system is released from rest and mass A falls to the floor through a distance of 1 m. The rope and pulley are massless. The pulley is frictionless and the table is frictionless.  MODEL: You decide to model this problem by taking the system to be the Earth and mass A only. You take the gravitational potential energy to be 0 at the floor.  Which of the following energy diagram is a good visualization of the “before and after” given the system chosen?  Before is shown in the figure and the after is after block A falls 1 m just before it hits the floor.