Question
The value y (in 19821984 dollars) of each dollar paid by consumers in each of the years from 1994 through 2008 in a country is
The value y (in 1982–1984 dollars) of each dollar paid by consumers in each of the years from 1994 through 2008 in a country is represented by the ordered pairs.
(1994, 0.674) | (1995, 0.656) |
(1996, 0.633) | (1997, 0.625) |
(1998, 0.618) | (1999, 0.596) |
(2000, 0.581) | (2001, 0.568) |
(2002, 0.556) | (2003, 0.542) |
(2004, 0.531) | (2005, 0.507) |
(2006, 0.496) | (2007, 0.486) |
(2008, 0.465) |
(a) Use a spreadsheet software program to generate a scatter plot of the data. Let t = 4 represent 1994. Do the data appear linear?
Yes or No
(b) Use the regression feature of the spreadsheet software program to find a linear model for the data. (Let t represent time. Round your numerical values to four decimal places.)
(c) Use the model to predict the value (in 1982–1984 dollars) of 1 dollar paid by consumers in 2010 and in 2015. (Round your answers to two decimal places.)
2010 | $ |
2015 | $ |
Discuss the reliability of your predictions based on your scatter plot and the graph of your linear model for the data.
Because the data follow a linear pattern, the predictions for 2010 and 2015 are not reliable.
Because the data does not follow a linear pattern, the predictions for 2010 and 2015 are not reliable.
Because the data follow a linear pattern, the predictions for 2010 and 2015 are reliable.
Because the data does not follow a linear pattern, the predictions for 2010 and 2015 are reliable.
Step by Step Solution
3.34 Rating (163 Votes )
There are 3 Steps involved in it
Step: 1
Question a b X Y xx yy xxyy total sum 30015 854 280 01 404 mean 200100 057 SSxx ...Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started