Precalculus / Statistics

posted by .

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 TI-83 Graphing Calculator?

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).

Similar Questions

1. 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

This is a reply to the question posted here http://www.jiskha.com/display.cgi?
3. statistics

Which of the following is not a consideration in determining the goodness of fit of a model?
4. 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 …
5. statistics

Pre study scores versus post-study 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 …
6. 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
7. 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
8. Statistics

Is is possible for the regression equation to have none of the actual (observed) data points located on the regression line?
9. 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 Degree-days which is a measure of …
10. 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 …

More Similar Questions