... a linear function, while an exponential function is not.) Like any straight line, our line will need a y-intercept, denoted b0, and a slope, denoted b1. Thus, we can define our y-hat line as: = b0 + b1 x. On the other hand, since we are assuming that ?Y|x also falls on a straight line. Hence, we will need a corresponding y-intercept, denoted ?0, and a slope, denoted ?1. Thus, we can define ?Y|x by the equation: ?Y|x = ?0 + ?1 x. We consider the intercept, b0, to be an estimate of the population intercept, ?0, and the slope b1 as an estimate of the population slope, ?1. The symbol ? is the Greek letter "beta". We will seldom know the true value of ?Y|x, ?0 or ?1. We do not know their true values even after we get a sample and form estimates. There are many other possible samples that we ...

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