Use your numerical and/or graphical output:

1. Explain the linearity & equal spread conditions/assumptions for this dataset. Include the appropriate graphs from your output to support your answer.
2. Explain graphically and numerically the strength & direction between the explanatory/response variables & outliers. Include the appropriate graphs from your output to support your answer.

Regression output: Include the appropriate graphs from your output to support your answers.

3. Report the regression equation. Interpret the slope and y-intercept. Give an example of a residual from this linear regression model. Explain the importance of residuals to linear regression.
4. Report and discuss the predictions (# of wins) for two teams, Team A and Team B, whose projected points in a game are 106 and 96.2, respectively.
5. Report and interpret the correlation coefficient, coefficient of determination, and information about lurking variables.

**

* Write a recursive function that removes the first k even numbers

* from the stack. If there are less than k even elements in the stack,

* just remove all even elements. Do not use any loops or data structures

* other than the stack passed in as a parameter.

* @param stack

* @param k

* @return Returns the number of elements removed from the stack.

*/

public static int removeEvenNumbers(Stack<Integer> stack, int k) {

return 0;

}

Please answer using python 3 and def functions!

1. Lab 2 Drill 3: (function practice) create and use a function named highest() that takes three inputs and returns the highest number. After you have got it working, try calling the function with inputs ‘hat’, ‘cat’, ‘rat’.

A spring-loaded piston-cylinder device contains 0.5 kg of water initially at 90℃ and with an initial quality of 20.9%. At its initial state, the spring is relaxed and does not exert any force on the piston. The device is now heated until the pressure is 400 kPa and the new temperature is 250℃.

What is the boundary work done by the water during this process?

kJ

What is the total amount of heat transfer into the system?

kJ

BONUS: If the device has a cross-sectional area of 0.14 m2, what is the spring constant of the spring in this device?

kNm

0.75 kg of refrigerant-134a at 120 kPa and 20°C initially fills a piston-cylinder device. Heat is now transferred to the refrigerant from a source at 150°C, and the piston which is resting on a set of stops, starts moving when the pressure inside reaches 140 kPa. Heat transfer continues until the temperature reaches 90°C. Assuming the surrounding to be at 25°C and 100 kPa, determine (a) the work done, (b) the heat transfer, (c) the exergy destroyed, and (d) the second law efficiency of this process.

1. If you have a force pushing down on a 30 square meter surface at the constant force of 5 N. What is the pressure?

2. If you have a sealed piston with an initial volume of 1.5 L and an initial pressure of 2.5 atm, if the piston expands to 3.5 L. What is the new pressure? Assume that moles and temperature stay constant.

3. If you have sealed piston with a temperature of 298 K and a volume of 5.0 L, if the volume decreases to 3.0 L, what is the temperature of the gas? Assume the moles and pressure stay constant.

4. If you have a sealed piston with 15 mols of an ideal gas and a volume of 35 L. If 20 mols of ideal gas is added, what is the final volume? Assume the pressure and temperature stay constant.

5. If we have a sealed container whose internal pressure is 2.00 atm and an internal temperature of 298 K, what is the pressure if we increase the temperature to 450 K? Assuming that moles and volumes stay constant.

6. What is the density of Sulfur hexafluoride gas at 450 K? Assume 1 atm worth of pressure.

7. A commercial gas cylinder has a mixture of gases of the ratio 50% SF₆ (w/w) and the balance of N₂, if the total weight of gas is 10 kg and the pressure of the cylinder is at 204 atm worth of pressure. What is the partial pressure of SF₆ gas in the mixture?

8. What is the root-mean-square velocity (speed) of SF₆ at 298K?

What is an idempotent operation in distributed systems? Discuss whether the following operations are idempotent:
- Pressing a lift (elevator) request button
- Writing data to a file
- Appending data to a file

1. Many operating systems now operate on 64 bits of memory. What is the highest base 10 number it could store?

2. How many bits would you need to store the number 8,000,000?

3. How many bits is 5 Gigabytes?

4. In order to get back the original signal without distortion I must sample at _____________ the highest frequency in the signal.

a. at least 2 times

b. exactly

c. exactly 2 times

d. at least half

Roulette wheels have 38 numbers (1 through 36 plus 0 and 00) of which 18 are red, 18 are black, and the 0 and 00 are green. A bettor may place a $1 bet on any one of the 38 numbers. The bettor wins $35 (bettor gets his $1 back) if the ball lands on his number, otherwise he loses his bet.

a) Find the expected value of the game.

b) What is wrong about how the casino pays a winner if they bet on a single number?