Precalculus / Statistics
posted by Ryan St. Laurent .
I have a question about residual plots and regression equations.
The data is:
X Y
1 6.1
2 5.5
3 9.8
4 10.6
5 14.2
6 21.5
7 29.9
8 37.2
9 50.6
10 64
11 77.6
What function fits this data the best, between Exponential, Linear, Quadratic, and Power.
Also how do you make residual plots on a TI83 Graphing Calculator?
Thank you so much for your help in advance. This is crucial to my grade.
First, graph it out. what does the graph look like. not straight so toss out Linear. Constantly rising (no humps), so (probably) toss out quadratic. Could be a power function, but offhand id say it was an exponential function (in that the function seems to be growing by e^(ax))
So, next take the natural log of your y values, and graph that. I get something resembling a straight line. Estimate an OLS regression on the logged values. Plot the predicted from the regression, and actual values; the difference between the two are the residuals (which could easily be plotted).
Respond to this Question
Similar Questions

Precalculus
Question Details: Finding Regression for each set of data & finding best fit equation for each set of data: Data 1: X: 1 2 3 4 5 Y: 3.1 12.1 20.7 33.9 50.8 Data 2: X: 1 2 3 4 5 Y: 1.16 3.46 5.11 5.98 6.75 
Reply to grant about a regression problem
This is a reply to the question posted here http://www.jiskha.com/display.cgi? 
statistics
Which of the following is not a consideration in determining the goodness of fit of a model? 
statistics
Job Sat. INTR. EXTR. Benefits 5.2 5.5 6.8 1.4 5.1 5.5 5.5 5.4 5.8 5.2 4.6 6.2 5.5 5.3 5.7 2.3 3.2 4.7 5.6 4.5 5.2 5.5 5.5 5.4 5.1 5.2 4.6 6.2 5.8 5.3 5.7 2.3 5.3 4.7 5.6 4.5 5.9 5.4 5.6 5.4 3.7 6.2 5.5 6.2 5.5 5.2 4.6 6.2 5.8 5.3 5.7 … 
statistics
Pre study scores versus poststudy scores for a class of 120 college freshman english students were considerated. The residual plot for the least squares regression line showed no pattern. The least square regression line was y = 0.2 … 
Statistics
The residual sum of the squares is the numerator portion of the formula for the variance of y about the regression line. True False 
Statistics
The residual sum of the squares is the numerator portion of the formula for the variance of y about the regression line. True False 
Statistics
Is is possible for the regression equation to have none of the actual (observed) data points located on the regression line? 
STATISTICS
The following data represents the monthly natural gas consumption (in hundreds of cubic feet) for a family for a random sample of nine months selected from five years of data. The other variable is Degreedays which is a measure of … 
Statistics
We're doing a project. I have all my data, but I'm not sure about what this is asking for. Use your regression equation to determine the purchase price for the 1999 Jeep Grand Cherokee. How does the predicted value, ŷ, compare …