Exam 12: Simple Regression Analysis and Correlation

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Alan Bissell,market analyst for City Sound Mart,is analyzing the relation between heavy metal CD sales and the size of the teenage population.He gathers data from six sales districts.Alan's dependent variable is annual heavy metal CD sales (in $1,000,000's),and his independent variable is teenage population (in 1,000's).Regression analysis of the data yielded the following tables: Alan Bissell,market analyst for City Sound Mart,is analyzing the relation between heavy metal CD sales and the size of the teenage population.He gathers data from six sales districts.Alan's dependent variable is annual heavy metal CD sales (in $1,000,000's),and his independent variable is teenage population (in 1,000's).Regression analysis of the data yielded the following tables:     Alan's regression model can be written as: ___. Alan Bissell,market analyst for City Sound Mart,is analyzing the relation between heavy metal CD sales and the size of the teenage population.He gathers data from six sales districts.Alan's dependent variable is annual heavy metal CD sales (in $1,000,000's),and his independent variable is teenage population (in 1,000's).Regression analysis of the data yielded the following tables:     Alan's regression model can be written as: ___. Alan's regression model can be written as: ___.

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In regression,the variable that is being predicted is usually referred to as the independent variable.

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In a regression analysis if SST = 200 and SSR = 200,r2 = ___.

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A manager wants to predict the cost (y)of travel for salespeople based on the number of days (x)spent on each sales trip.The following model has been developed: y = $400 + 120x.If a trip took 3 days,the predicted cost of the trip is ___.

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Alan Bissell,market analyst for City Sound Mart,is analyzing the relation between heavy metal CD sales and the size of the teenage population.He gathers data from six sales districts.Alan's dependent variable is annual heavy metal CD sales (in $1,000,000's),and his independent variable is teenage population (in 1,000's).Regression analysis of the data yielded the following tables: Alan Bissell,market analyst for City Sound Mart,is analyzing the relation between heavy metal CD sales and the size of the teenage population.He gathers data from six sales districts.Alan's dependent variable is annual heavy metal CD sales (in $1,000,000's),and his independent variable is teenage population (in 1,000's).Regression analysis of the data yielded the following tables:     Using <font face=symbol></font> = 0.05,Alan should ___. Alan Bissell,market analyst for City Sound Mart,is analyzing the relation between heavy metal CD sales and the size of the teenage population.He gathers data from six sales districts.Alan's dependent variable is annual heavy metal CD sales (in $1,000,000's),and his independent variable is teenage population (in 1,000's).Regression analysis of the data yielded the following tables:     Using <font face=symbol></font> = 0.05,Alan should ___. Using = 0.05,Alan should ___.

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The slope of the regression line,y = 21 − 5x,is 21.

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One of the assumptions made in simple regression is that ___.

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The numerical value of the coefficient of determination must be ___.

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From the following scatter plot,we can say that between y and x there is ___. From the following scatter plot,we can say that between y and x there is ___.

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Determine the equation of the trend line to forecast outcomes for time periods in the future,using alternative coding for time periods if necessary.

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A manager wishes to predict the annual cost (y)of an automobile based on the number of kilometres (x)driven.The following model was developed: y = 1,550 + .36x.If a car is driven 20,000 kilometres,the predicted cost is ___.

(Multiple Choice)
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The following data is to be used to construct a regression model: The following data is to be used to construct a regression model:   The value of the y intercept is ___. The value of the y intercept is ___.

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The coefficient of determination is the proportion of variability of the dependent variable (y)accounted for or explained by the independent variable (x).

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The process of constructing a mathematical model or function that can be used to predict or determine one variable by another variable is called regression analysis.

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Alan Bissell,market analyst for City Sound Mart,is analyzing the relation between heavy metal CD sales and the size of the teenage population.He gathers data from six sales districts.Alan's dependent variable is annual heavy metal CD sales (in $1,000,000's),and his independent variable is teenage population (in 1,000's).Regression analysis of the data yielded the following tables: Alan Bissell,market analyst for City Sound Mart,is analyzing the relation between heavy metal CD sales and the size of the teenage population.He gathers data from six sales districts.Alan's dependent variable is annual heavy metal CD sales (in $1,000,000's),and his independent variable is teenage population (in 1,000's).Regression analysis of the data yielded the following tables:     Alan's sample size is ___. Alan Bissell,market analyst for City Sound Mart,is analyzing the relation between heavy metal CD sales and the size of the teenage population.He gathers data from six sales districts.Alan's dependent variable is annual heavy metal CD sales (in $1,000,000's),and his independent variable is teenage population (in 1,000's).Regression analysis of the data yielded the following tables:     Alan's sample size is ___. Alan's sample size is ___.

(Multiple Choice)
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From the following scatter plot,we can say that between y and x there is ___. From the following scatter plot,we can say that between y and x there is ___.

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For a certain data set the regression equation is y = 21 - 3x.The correlation coefficient between y and x in this data set ___.

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For a certain data set the regression equation is y = 2 + 3x.The correlation coefficient between y and x in this data set ___.

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The assumption of constant error variance in regression analysis is called ___.

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The proportion of variability of the dependent variable accounted for or explained by the independent variable is called the ___.

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