Graph the following points. Find and graph the line (accurate to one
decimal place) that best fits the data according to the least squares
definition presented in this chapter. Find the sum of the squared errors.
Follow the directions for part (a) with the following data:
Follow the directions for part (a) with the following data:
Find the line that best fits this data:
Find the line that best fits this data:
Find the parabola that best fits this data and give the sum of the
squared errors:
Find the parabola that best fits this data:
Using the following data, find the best fit straight line and the
best fit parabola. Your solutions should be accurate to four decimal places.
Should this data be modeled by a straight line or by a parabola? Why?
Find the matrix X and the vector y that would be used in the
normal equations to find the best fit cubic (third degree) polynomial to the
following data:
On a sunny day, measure the height of 5 objects and record those as x values. Measure the shadows of your objects and record those as y values. It is best if you take the measurements all at the same time and not
around noon. Label your data and graph it. Find the best fit line through
the data.
