The linear equation represents an estimate of the average cost of gas for year x starting in 1997

3. The linear equation

represents an estimate of the average cost of gas for year x starting in 1997. The year 1997 would be represented by x = 1, for example, as it is the first year in the study. Similarly, 2005 would be year 9, or x = 9.
a) What year would be represented by x = 4?

b) What x-value represents the year 2018?

c) What is the slope (or rate of change) of this equation?

d) What is the y-intercept?

e) What does the y-intercept represent?

f) Assuming this growth trend continues, what will the price of gasoline be in the year 2018? How did you arrive at your answer?
4. The line

represents an estimate of the average cost of gasoline for each year. The line

estimates the price of gasoline in January of each year (Bureau of Labor Statistics, 2006).
g) Do you expect the lines to be intersecting, parallel, or perpendicular? Explain your reasoning.

h) Use the equations of the lines to determine if they are parallel. What did you find?

i) Did your answer to part b confirm your expectation in part a?

Solution Summary

Neat and Step-by-step solutions to all the questions.

1. Instructions for 1a-1e
Suppose you are at thegas station filling your tank with gas. The function C(g) representsthecost C of filling up thegas tank with g gallons. Given theequation:
Example of how to show your work:
C(g)=3.03(g)
C(6) = 3.03(6)
C(6)=18.18
What does the number 3.03 represent?
Find C(2)

From 1997 through 2004, the value of US exports to Mexico was as shown below. Data are in billions of dollars.
Year: 1997 1998 1999 2000
Exports: $71.4 $78.8 $86.9 $111.3
Year: 2001 2002 2003 2004
Exports: $101.3 $97.5 $97.4 $110.8
a. Fit a linear trend e

Fit a linear trend equation to the following data describing average hourly earnings of US production workers. What is the trend estimatefor 2010?
Year: 2001 2002 2003 2004
Average
Hourly
Earnings: $14.53 $14.95 $15.35 $15.67
2.
The following date show residential and commercial

Please help with the following problem involving correlation and regression analysis.
The following table reports the earning per share (in dollar) for Heban Lumber Mill from 1997 to 2003.
Year1997 1998 1999 2000 2001 2002 2003
earning per share
1.56 1.86 2.17 2.41 2.67 2.97 3.40
Please provide answers to the f

Out-of-state tuition and fees at the top graduate schools of business can be very expensive, but thestarting salary and bonus paid to graduates from many of these schools can be substantial. The following data show the out-of-state tuition and fees (rounded to the nearest $1000) and theaveragestarting salary and bonus paid to

There was several questions ask from my algebra class as a homework which I am having difficulty answering. Please help me solve forthem thanks.
Theequation y = 1.13x + 7.85 representstheaverage monthly cost in dollars for cable television where x representsthe number of years after 1980. Use this equation to answer the

See attched data:
Plot the data, determine the least squares trend equation, and use the trend equation to calculate the points for 97 and 99. Plot them on a grpah and draw the regression line. Estimate net sales for 2003. How much have sales gone up or down per yr. on average during th period.

Forthe data of this exercise use the weighting constant = 0.5 and exponential smoothing to determine theforecast for 2005.
U.S. cellular phone subscribership has been reported as shown below forthe 1993-2004 period
Year Subscribers (millions) Year Subscribers (millions)
1993 16.0 1999 86.0
1994 24.1 2000 109.5
1995 3

Bill heats his house with natural gas. Thegas usage is measured in therms (T). In January of 2007 he used 125 therms over 34 days (D) and theaverage temperature (T) was 49 degrees farenheit. This year in January he used 190 therms over 31 days and theaverage temperature was 43 degrees. He wants to know if the added usage