Exam 12: Prediction

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Advanced topic: What is the difference between the SSError and SSTotal?

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based on the following data for variables X and Y. based on the following data for variables X and Y.   -To find the regression coefficient for the best linear prediction rule,divide __________ by __________.(Give numbers.) -To find the regression coefficient for the best linear prediction rule,divide __________ by __________.(Give numbers.)

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10; 8

The best linear prediction rule is the one that has the least

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If a cognitive psychologist is studying whether difficulty doing a task predicts the amount of activity in a certain brain area,task difficulty is the __________ variable,and brain activity is the __________ variable.(Give names,not symbols.)

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If Ŷ = 3 + (.25)(X),a person whose score on X is 100 and on Y is 22 has a squared error of __________.(Give a number.)

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In making a prediction using the linear prediction rule,Ŷ = 7 + (1.28)(X),the "1.28" is the __________.(Give a name,not a symbol.)

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The multiple regression formula with two predictor variables is

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Advanced topic: What does it mean when SSTotal minus SSError equals zero?

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Prediction is also called __________.

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On a scatter diagram,the vertical distance between the dot for the actual score and the regression line represents the

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A cognitive psychologist conducted a study of whether familiarity of words (X)predicts the time it takes (in seconds)to press a button indicating whether the word is singular or plural (Y),with all participants being given the same words.Familiarity with these words was rated at a later time on a 7-point scale (with higher numbers indicating more familiarity).The participants' scores were: A cognitive psychologist conducted a study of whether familiarity of words (X)predicts the time it takes (in seconds)to press a button indicating whether the word is singular or plural (Y),with all participants being given the same words.Familiarity with these words was rated at a later time on a 7-point scale (with higher numbers indicating more familiarity).The participants' scores were:   a.Figure the linear prediction rule. b.Make a graph with the regression line. c.Figure the standardized regression coefficient. d.Explain the logic of what you did to someone who is familiar with correlation,but who knows nothing about prediction.Be sure your answer explains the ideas of prediction,linear prediction rule,best linear prediction rule,the regression line,and the standardized regression coefficient. e.Advanced topic: Figure the proportionate reduction in error using sums of squared errors. f.Advanced topic: Explain the logic behind how you figured the proportionate reduction in error. a.Figure the linear prediction rule. b.Make a graph with the regression line. c.Figure the standardized regression coefficient. d.Explain the logic of what you did to someone who is familiar with correlation,but who knows nothing about prediction.Be sure your answer explains the ideas of prediction,linear prediction rule,best linear prediction rule,the regression line,and the standardized regression coefficient. e.Advanced topic: Figure the proportionate reduction in error using sums of squared errors. f.Advanced topic: Explain the logic behind how you figured the proportionate reduction in error.

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Error in regression is figured by

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The number multiplied by the score on the predictor variable to get the predicted score on the criterion variable is the __________.(Give a name,not a symbol.)

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The multiple correlation coefficient of a criterion variable with two predictor variables

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One assumption of multiple regression is that error scores are __________.

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If a regression line goes up three units for every one unit it moves across going from left to right,b = __________.(Give a number.)

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The principle for selecting the best linear prediction rule is called the __________ criterion.

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Advanced topic: The proportionate reduction in error is the sum of squared error when predicting from the mean minus the sum of squared error when predicting using the __________.

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Why are errors squared in a regression?

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When drawing a regression line for a linear prediction rule,the minimum number of predicted points on a graph that must be located is

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