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Magazine Chapter 10: 10.4-2ITD (page 205)
Draw a 鈥渂est fit鈥� line for each set of points. A best-fit does not necessarily pass through all or even most points. Instead, it is a straight line that passes as close as possible to all data points from that set. Draw a best-fit line for each set of data. Because the placement of the line is a matter of judgment, two individuals may draw slightly different lines for a given set of points. The line that actually fits best, a regression line, can be identified by squaring the distances of all points to any candidate line, then selecting the line that minimizes the sum of the squares. (See the graph in the scientific skills Exercise in Chapter 3) for an example of a linear regression line. Excel or other software programs, including those on a graphical calculator, can plot regression lines once data points are entered. Using either Excel or a graphical calculator, enter the data points for each data set and have the program draw the two regression lines. Compare them to the lines drawn.
Short Answer
The best fit is selected from the number of lines along with the points that connect. The regression line is plotted with the help of Excel.
Step by step solution
Description of best fit
The data points are plotted in the form of a graph. The possible lines are drawn via each setpoint with the given data. The regression line is straight that passes via the maximum fit line.
Diagrammatic representation with the regression lines
The regression line is drawn with the help of Excel software. The regression line drawn with the use of excel is the best fit comparing the manual method of removing the lines.
Regression lines
The regression line drawn for the corn plant connects the average dry weight value of 80 and 91.
The second regression line for the velvet plant combines the value of 35 and 54.
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