An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts (a) through (d) below.

Click here to view the weight and gas mileage data.

(a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.

^y=  __________x +____________(Round the x coefficient to five decimal places as needed. Round the constant to two decimal places as needed.)

(b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice.

(Use the answer from part a to find this answer.)

A. A weightless car will get __________ miles per gallon, on average. It is not appropriate to interpret the slope.

B. For every pound added to the weight of the car, gas mileage in the city will decrease by________mile(s) per gallon, on average. It is not appropriate to interpret the y-intercept.

C. For every pound added to the weight of the car, gas mileage in the city will decrease by_________mile(s) per gallon, on average. A weightless car will get                                  

_____________ miles per gallon, on average.

D. It is not appropriate to interpret the slope or the y-intercept.

(c) A certain gas-powered car weighs 3700 pounds and gets 17 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight?

A.    Above

B.    Below

(d) Would it be reasonable to use the least-squares regression line to predict the miles per gallon of a hybrid gas and electric car? Why or why not?

A. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 11.

B. No, because the hybrid is a different type of car.

C. Yes, because the hybrid is partially powered by gas.

D. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 11.

An engineer wants to determine how the weight of a​ gas-powered car,​ x, affects gas​ mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts​ (a) through​ (d) below

​(a) Find the​ least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.

​(Round the x coefficient to five decimal places as needed. Round the constant to two decimal places as​ needed.)

​(b) Interpret the slope and​ y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice. ​(Use the answer from part a to find this​ answer.)

A. For every pound added to the weight of the​ car, gas mileage in the city will decrease by ___ ​mile(s) per​ gallon, on average. It is not appropriate to interpret the​ y-intercept.

B. For every pound added to the weight of the​ car, gas mileage in the city will decrease by ___ ​mile(s) per​ gallon, on average. A weightless car will get ___ miles per​ gallon, on average.

C. A weightless car will get ___ miles per​ gallon, on average. It is not appropriate to interpret the slope.

D. It is not appropriate to interpret the slope or the​ y-intercept.

​(c) A certain​ gas-powered car weighs 3700 pounds and gets 19 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this​ weight?

A. Below

B. Above

(d) Would it be reasonable to use the​ least-squares regression line to predict the miles per gallon of a hybrid gas and electric​ car? Why or why​ not?

A. ​No, because the hybrid is a different type of car.

B. Yes, because the hybrid is partially powered by gas.

C. ​No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 11.

D.​Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 11.

You have estimated the following probability distributions of expected future returns for Stocks X and Y:

1. What is the expected rate of return for Stock X? Stock Y? Round your answers to one decimal place.
   Stock X:   %

   Stock Y:   %

2. What is the standard deviation of expected returns for Stock X? For Stock Y? Round your answers to two decimal places.
   Stock X:   %

   Stock Y:   %

3. Which stock would you consider to be riskier?   Stock X Or Stock Y?  is riskier because it has a -higher or lower? standard deviation of returns.

3) Create a Java program that uses NO methods, but use scanner:

Write a program where you will enter the flying distance from one continent to another, you will take the plane in one country, then you will enter miles per gallon and price of gallon and in the end it will calculate how much gas was spend for that distance in miles.

Steps: 1) Prompt user to enter the name of country that you are

2) Declare variable to enter and relate to scanner.

3) Prompt user to enter the name of country where you are willing to go.

4) Declare variable to enter and relate to scanner.

5) Create scanner, also declare variable double for distance, miles Per Gallon and price Per Gallon.

6) Prompt the user to enter data of your choice for each one of them

7) Create variable ticket which calculate distance divided by multiplication of miles Per Gallon and price Per Gallon

8) Create condition that if ticket cost is less then 1000 you are flying close, if greater then 1000 and less then 5000 they are flying far, if greater then 10000 very far and son on

9) In the end display the miles from one country to another and cost of flying and how far you are flying based on conditions.

x −4 −3 −2 −1 0 P(X=x) 0.2 0.1 0.3 0.2 0.2

Step 1 of 5: Find the expected value E(X). Round your answer to one decimal place.

Step 2 of 5:

Find the variance. Round your answer to one decimal place.

Step 3 of 5:

Find the standard deviation. Round your answer to one decimal place.

Step 4 of 5:

Find the value of P(X>−1)P(X>−1). Round your answer to one decimal place.

Step 5 of 5:

Find the value of P(X≤−1)P(X≤−1). Round your answer to one decimal place.

Consider the following data: x 4 5 6 7 8 P(X=x) 0.2 0.2 0.1 0.2 0.3

Step 2 of 5: Find the variance. Round your answer to one decimal place.

Step 3 of 5: Find the standard deviation. Round your answer to one decimal place.

Step 4 of 5: Find the value of P(X<7). Round your answer to one decimal place

Step 5 of 5:Find the value of P(X≥7). Round your answer to one decimal place.

Julie recently drove to visit her parents who live 200200 miles away. On her way there her average speed was 99 miles per hour faster than on her way home (she ran into some bad weather). If Julie spent a total of 1010 hours driving, find the two rates.

Company A desires a variable-rate loan but currently has a better deal from the fixed-rate market at a rate of .13. If Company A borrows from the variable-rate market, the cost would be LIBOR+.02. In contrast, Company B, which prefers a fixed-rate loan, has a better deal from the variable-rate market at LIBOR+.03. If Company B borrows from the fixed-rate market, the cost would be .16. Knowing both companies’ needs, Bank C designed a swap deal. The deal is outlined in the following:

1) Company A obtains a fixed-rate loan at .13.

2) Company B obtains a variable-rate loan at LIBOR+.03.

3) Company A pays Bank C a variable rate of LIBOR+.01 and receives a fixed rate of .133 from the bank.

4) Company B pays Bank C a fixed rate of .145 and receives a variable rate of LIBOR+.02 from the bank.

How much is the cost saving to Company B and how much is the total gain to the bank?

Select one: a. Cost savings for B: 0.5%, and the gain for bank: 0.2%

b. Cost savings for B: 0.4%, and the gain for bank: 0.4%

c. Cost savings for B: 0.7%, and the gain for bank: 0.2%

d. Cost savings for B: 0.6%, and the gain for bank: 0.3%

e. Cost savings for B:1%, and the gain for bank: 0.3%

In a four person community, we have elicited each individual’s willingness to pay to build an additional mile of a bike lane. Whatever amount is constructed, the community will split the cost evenly.

1. Suppose bike lanes can be built for 52 $ . mi

(a) (1 point) What is the efficient amount of bike lanes to build?

(b) (1 point) Will the majority vote accept this proposal?

2. Suppose the bike lanes can be built for 84 $ . mi

(a) (1 point) What is the efficient amount of bike lanes to build?

(b) (1 point) Will the majority vote accept this proposal?