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For which measure of central location will the sum of the deviations of each value from the data's average will always be zero?
The mean.
What is a least square regression line?
If you plot data points on a graph the rarely will form a straight line. Least squares is a method of finding a line 'close' to all the data points instead of just guessing and drawing a line that looks good. If you have a line, then there is an algebraic formula to find the distance from each point to that line. Then using statistics, you can make the statistically averaged distance from each data point as close as possible to a line. The distances are squared, averaged, and the average of those squared distances may be used to find the regression line.
How do you calculate precision?
Accuracy describes the correlation between the measured value and the accepted value. The accuracy of a measurement, or set of measurements, can be expressed in terms of error: The larger the error is, the less accurate is the measurement. Precisiondescribes the reproducibility of a measurement. To evaluate the precision of a set of measurements, start by finding the deviation of each individual measurement in the set from the average of all the measurements in the set: Note that deviation is always positive because the vertical lines in the formula represent absolute value. The average of all the deviations in the set is called the average deviation. The larger the average deviation is, the less precise is the data set.
What are some benefits of recording data on a stem and leaf plot?
There are many benefits of using a stem and leaf plot in the analysis of data. A stem and leaf plot can be constructed quickly. The value of each data point can be recovered from the plot. The data is arranged compactly because the stem is not repeated in multiple data points.
How do you work out the average speed?
That depends on that data you have.If you have a start and finish time, and the overall distance then you divide the distance in miles (or other units) by the number of hours and you'll get miles per hour.If I leave home at 07:15 and get to work at 9:00, having travelled 6.5 miles then I have an average speed of 6.5 / 1.75 = 3.71 mph. (but that's enough about the Dublin bus service!)If you have two or more different speeds, and the length of time each was travelled then you wan work out the overall distance and the overall time, and proceed as above.
