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The regression line should be drawn on the scatter diagram in such a way that when the squared values of the vertical distance from each plotted point to the line are added, the total amount will be the smallest possible amount. This criterion is called the Method of Least Squares.
Minimizing the sum of the squared differences of each value of Y from the regression line by the method of calculus, we arrive at two equations, called the normal equations:
Solving these equations simultaneously, and using equivalent expressions for and , we obtain the following formulae used to calculate the coefficients a and b in the regression line = = a + bX
E(Y|X = x) = a + bx
(a) Elevation (m) 0 400 800 1200 1600 2000 2400 2800 3200 4000 480
the president of a certain firm concerned about the safety record of the firms employee sets aside $50 million a year for safety education. the firms accountant believes that more
The box plot displays the diversity of data for the income; the data ranges from 20 being the minimum value and 1110 being the maximum value. The box plot is positively skewed at 4
what the purpose we use it
Examples of grouped, simple and frequency distribution data
worked model
Suppose that before the minimum wage law change, the underlying mean number of part-time employees per Burger King Restaurant in New Jersey was 20.3. It was thought that the increa
You are interested in testing the distance of two golf balls, Brand A and Brand B. You take a random sample of 100 golfers, each of whom hits Brand A once and Brand B once. Define
Evaluate Gross Reproduction Rate: From the data given below compute : i) General Fertility Rate ii) Specific Fertility Rate iii) Total Fertility Rate iv)
Systematic Random Sampling This method is generally used in such cases where a complete list of the population is available from which sample has to be selected. Under this
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