An engineer wants to determine how the weight of a? car, x, affects gas? mileage, y. The following data represent the weights of various cars and their miles per gallon.

Car
A
B
C
D
E

Weight? (pounds), x
25452545
31003100
34103410
37703770
40404040
Miles per? Gallon, y
25.225.2
23.923.9
19.619.6
18.518.5
14.314.3

?(a) Find the? least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.
Write the equation for the? least-squares regression line.
ModifyingAbove y with caretyequals=negative 0.00717?0.00717xplus+44.544.5
?(Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as? needed.)
?(b) Interpret the slope and? intercept, if appropriate.
Choose the best interpretation for the slope.
A.
The slope indicates the mean weight.
B.
The slope indicates the ratio between the mean weight and the mean miles per gallon.
C.
The slope indicates the mean change in miles per gallon for an increase of 1 pound in weight.
D.
The slope indicates the mean miles per gallon.

Chapter 7:

The mean mean gas mileage for a hybrid car is 57 milers per gallon. Suppose that the gasoline mileage is approximately normal distributed with a standard deviation with 3.5 milers per gallon. (A) what proportion of hybrids get over 62 milers per gallon? B.) What proportion of hybrids gets 52 milers per gallon or less? C.) what proportion of hybrids gets between 59 and 62 miles per gallon? D.) What is the probability that a randomly selected hybrid gets less than 45 miles per gallon?

A.) The proportion of hybrids that gets over 62 miles per gallon is ____

(Round to four decimal places as needed).

B.) The proportion of hybrids that gets 52 miles per gallon or less is ____

(Round to four decimal places as needed).

C) The proportion of hybrids that gets between and 62 miles per gallon is ____

(Round to four decimal places as needed).

D.) The probability that a randomly selected hybrid gets less than 45 miles per gallon is ___

(Round to four decimal places as needed).

Driving costs - functions

Driving is expensive. Write a program with a car's miles/gallon and gas dollars/gallon
(both floats) as input, and output the gas cost for 10 miles, 50 miles, and 400 miles.

Output each floating-point value with two digits after the decimal point, which
can be achieved as follows:
print('{:.2f}'.format(your_value))

Ex: If the input is:

20.0
3.1599
the output is:

1.58
7.90
63.20

Your program must define and call the following driving_cost() function.
Given input parameters driven_miles, miles_per_gallon, and dollars_per_gallon,
the function returns the dollar cost to drive those miles.

Use the following .py file to get started:

#variables

miles_per_gallon = float(input("Please enter the miles per gallon: "))
dollars_per_gallon = float(input("PLease enter the cost per gallon: "))

#calculations

dollars_20_miles = 20 * (1.0 / miles_per_gallon) * dollars_per_gallon
dollars_75_miles = 75 * (1.0 / miles_per_gallon) * dollars_per_gallon
dollars_500_miles = 500 * (1.0 / miles_per_gallon) * dollars_per_gallon

#print

print('{:.2f} {:.2f} {:.2f}'.format(dollars_20_miles, dollars_75_miles. dollars_500_miles))

Identify the sample and sample statistic - For 186 randomly selected babies, the average (mean) of their births weights is 3,103 grams (based on data from “Cognitive Outcomes of Preschool Children with Prenatal Cocaine Exposure.” By Singer et al., Journal of the American Association, Vol. 291, No 20).

A) Sample-preschool children, statistic birth weights

B) Sample-186 babies, statistic 3,103 grams

C) Sample 186 babies, statistic Cocaine Exposure

What are the absolute and relative errors? – The bakery menu claims that there are 12 doughnuts in a bag, but the baker always puts 13 doughnuts (the true value) in each bag.

A) Absolute 1 donut, relative 7.7%

B) Absolute -1 donut, relative -7.7%

C) No answer text provided.

What are the absolute and relative errors? –The official distance for a marathon is 26 miles 385 yards or 26.21875 miles, but the organizers of a marathon map a course that is actually 26.34567 in length.

A)Absolute 26.21875 miles, relative .12692 miles

B) Absolute .12692 miles , Relative 0.5%

C) Absolute 26.34567 miles, Relative 12.6%

The sample study below shows the number of miles you can run and the effect it has on reducing your blood pressure level. = 0.05 (5%)

1. Derive the equation for least square regression line.

2. If you ran zero/no mile what would be your blood pressure?

3. If you ran 6 miles what would be your blood pressure?

4. To have a blood pressure of zero how many miles do you need to run?

5. To have a blood pressure of 100 how many miles do you need to run?

6. Find and explain the value for the coefficient of correlation (‘r) in the context of the question.

7. Find and explain the value for the coefficient of determination (‘r²) in the context of the question.

Dryden purchased a van for $24,000 on January 1, in year 1 and planned to use it as rental property. The van has an estimated salvage value of $4,000 and an estimated useful life of 4 years. Dryden also assumed that the productive capacity of the van is 100,000 miles, and odometer readings indicate that the van was driven 40,000 miles in year 1, 20,000 miles in year 2, 30,000 miles in year 3, and 15,000 miles in year 4, respectively.

Required:

I. Determine the depreciation expense for year 1, year 2, year3 & year 4 by using straight-line method.

II. Determine the depreciation expense for year 1, year 2, year3 & year 4 by using double declining balance method.

III. Determine the depreciation expense for year 1, year 2, year3 & year 4 by using units of production method.

(All answers were generated using 1,000 trials and native Excel functionality.)

Grear Tire Company has produced a new tire with an estimated mean lifetime mileage of 36,500 miles. Management also believes that the standard deviation is 5,000 miles and that tire mileage is normally distributed. To promote the new tire, Grear has offered to refund some money if the tire fails to reach 30,000 miles before the tire needs to be replaced. Specifically, for tires with a lifetime below 30,000 miles, Grear will refund a customer $1 per 100 miles short of 30,000.

Miles Company had the following select receivable transactions.

2019

11/1 Loaned $24,000 cash to N. Jones on a 12-month, 8% note.

12/1 Made Miles Company credit card sales totaling $10,500. (There were no balances prior to December 1.)

12/15 Made Visa credit card sales totaling $14,800 (service charge fee 2%).

12/30 Collected $4,400 on Miles Company credit card sales.

12/31 Added finance charges of 1% to Miles Company credit card balance.

12/31 Accrued interest on N. Jones note.

2020

11/1 Received principal plus interest on N. Jones note.

Instructions Prepare journal entries to record the transactions above assuming Miles Company prepares adjusting entries once a year on December 31.

Please show all calculations and explanations for each row and colum (Depreciation expense,accumulated depreciation,ending book value ect.)

Prepare a depreciation schedule showing depr. exp., accumulated depreciation and ending book value, year-by-year.
3 schedules for the 3 methods straight-line, units-of-production, double declining basis. Asset is a delivery Truck.

Est. Life ………… 5
Orig. Cost Basis 24,500.00
Est. Residual Value 2,500.00
Est. total mileage 100,000
miles driven, Yr 1 21,400
miles driven, Yr 2 19,700
miles driven, Yr 3 18,900
miles driven, Yr 4 23,400
miles driven, Yr 5 16,600
Part 2:
Assuming the truck is sold at the end of yr. 3, give the gen. journal entry to record the sale (straight-line method)
assume it was sold for 11,720.00

Check out this cost equation for the cost of a cab ride when m miles are driven: C = 5.1 +2.6m. What does the 5.1 represent? What does the 2.6 represent? Solve the equation for m. Put that equation here.

Based on that formula, enter a formula in cell B2 that will give the number of miles that can be driven for the cost shown in cell A2. You will need to use grouping symbols carefully. This equation reverses the original. Here you would enter the dollars and see how many miles you can go. To know that you have the formula correct, the value in B2 should be 0 miles.