We use linear regression for inference when a dependent vari…

We use linear regression for inference when a dependent variable is a (1)___________ (a. continuous variable, b. discrete variable; 1 point). We use the binary logit model when a dependent variable is a (2)___________ (a. continuous variable, b. discrete variable; 1 point). Both linear regression and logit models for inference are based on (3)___________ (a. in-sample prediction, b. out-of-sample prediction; 2 points).

The spring constant of a massless spring can be determined f…

The spring constant of a massless spring can be determined from the force-displacement graph, which shows the force applied to the spring and the corresponding displacement. x1 = [x] m and F2 = [F] N. A person pulls the spring slowly until it is stretched by [dx] m. Determine the work done by the person to stretch the spring. Express your answer in joules.

A variable force F is applied to a block, and the relationsh…

A variable force F is applied to a block, and the relationship between the force and the block’s displacement is shown in the figure. x1 = [x1] m, x2 = [x2] m, x3= 30 m, F1= [F1] N, F2= 30 N, and F3= [F3] N. The positive directions of the force and displacement are the same (toward right). Calculate the work done by the force as the block moves from position x1 to position x2. Express your answer in joules (J).