The first topic concerns a solution for ellipsefitting [Attachment: FittingEllipse.pdf Michael J. Aramini, Ellipse-Fitting, http://mysite.verizon.net/~vze2vrva/ellipse_fitting.html, May 2007].
1. The expression being minimized (left hand side looks like chi-square):
A. Is it chi-square?
B. If it is chi-square, what i
A regression equation found using the least squares principle is the best-fitting line because the sum of the squares of the vertical deviations between the actual and estimated values is minimized.
In fitting a least squares line to n=15 data points, the following quantities were computed: SSxx=55, SSyy=198, SSxy=-88, x-bar=1.3, and y-bar=35.
a.) Find the least squares line.
b.) Describe the graph of the least squares line.
c.) Calculate SSE
d.) Calculate s^2.
Graph an ellipse as a polar function with a focus at the pole and parameterized by the eccentricity e and the distance d
between the focus and a vertical directrix.
Please show me how step-by-step on how you would graph this.
Among the advantages of the _____________ technique of forecasting are ease of calculation, relatively little requirement for analytical skills, and the ability to provide the analyst with information regarding the statistical significance of results and the size of statistical errors.
least-squares trend analysis
The plane 4x-3y+8z=5 intersects the cone Z^2=x^2 + y^2 in an ellipse
a. Graph the plane, cone and ellipse
b. Use Lagrange multipliers to find the highest and lowest points on the ellipse.
This problem must be solved using maple 10 (or 9) please show all work and data entries and outputs.
Please provide steps needed to find equation of and ellipse with given information. Please include formulas used and detailed step-by-step solution. Thank you:
1. Foci (+or- 5, 0), major semiaxis 13
2. Center (0,0), vertical major axis 12, minor axis 8
3. Foci (0,+or-4), eccentrity 2/3
The equations of two ellipses are i) 4x (squared) + 9y (squared) = 36 (ii) 2x (squared) + 3y (squared) = 30. A tangent to ellipse (i) meets the ellipse (ii) at the points P and Q. Show that the tangents at P and Q to ellipse (ii) are at right angles to one another. Please show this using parametric equations.
The first problem deals with finding the circumference length of an ellipse. This field is called differential geometry.
The second problem deals with finding the equation of tangent line of a given equation.
See the attached file.