APMA 3120 Chapter Notes - Chapter 14: Dependent And Independent Variables, Confidence Interval, Prediction Interval
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( x 1 x )2+ +( x n x )2. Equivalently, it claims that the variables are not related, because the equation. Y= 0+ 1 x reduces y= 0 when 1= 0 and the mean population response does not depend on the so-called explanatory variable x. Thus, if b1 quantitative variables are related in the larger population. If we suspect in advance that the relationship is negative/positive, more. : 1>0 speciic one-sided alternative could be formulated h a. It is reported alongside t as part of the regression output. If the p-value is small, we reject the null hypothesis of no relationship (equivalent to rejecting the claim that slope 1 for the population is zero). If p-value is not small, conclude h0 may be true. 4: conclusions should be stated in context: if the null hypothesis has been rejected, we conclude that there is statistical evidence of a relationship between the explanatory and response variables.