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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
Read the following data on the economy of Angoia and answer/respond to the questions/instructions that follow. Unless otherwise stated, the monetary figures are in real billions o
Main stages of Statistical Inquiry The following are the various stages of a statistical inquiry (1) Planning the Inquiry: First of all we have to assess the problem und
Of the 6,325 kindergarten students who participated in the study, almost half or 3,052 were eligible for a free lunch program. The categorical variable sesk (1 == free lunch, 2 = n
what is the aim of statistics?
Show that the ISB in a bin containing the origin of the double exponen-tial density, f(x) = exp(-|x|)/2, is O(h 3 ); hence, the discontinuity in the derivative of f does not have a
Arithmetic Mean The process of computing Arithmetic Mean in the case of individual observations is to take the sum of the values of the variable and then divide by the number
For calculating the mode of the grouped data graphically, the following procedure is adopted. Draw a histogram of the data; the modal class is the tallest rectangle.
Differentiate between prediction, projection and forecasting.
HOW WOULD YOU INTERPRET THIS PROBABILITY:P(a)=1.05
velocity of a particle which moves along the s-axis is given by v=2-4t+5t then find position velocity,acceleration
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