Exam 12: Simple Regression Analysis and Correlation

In a simple regression the coefficient of correlation is the square root of the coefficient of determination.

Calculate the residuals of a regression line and from those determine the fit of the model,locate outliers,and test the assumptions of the regression model.

A simple regression model developed for ten pairs of data resulted in a sum of squares of error,SSE = 125.The standard error of the estimate is ___.

Abby Kratz,a market specialist at the market research firm of Saez,Sikes,and Spitz,is analyzing household budget data collected by her firm.Abby's dependent variable is monthly household expenditures on groceries (in $'s),and her independent variable is annual household income (in $1,000's).Regression analysis of the data yielded the following tables: 11ea888b_4160_4091_bb89_cbaf4c9f23b1_TB1680_00 Abby's sample size (n)is ___.s),and her independent variable is annual household income (in $1,000's).Regression analysis of the data yielded the following tables: Abby's sample size (n)is ___." class="answers-bank-image d-inline" loading="lazy" > Abby's sample size (n)is ___.s),and her independent variable is annual household income (in $1,000's).Regression analysis of the data yielded the following tables: Abby's sample size (n)is ___." class="answers-bank-image d-inline" loading="lazy" > 11ea888b_4160_4091_bb89_cbaf4c9f23b1_TB1680_00 Abby's sample size (n)is ___.

The difference between the actual y value and the predicted y value found using a regression equation is called the residual.

Calculate the slope and y intercept of the least squares equation of a regression line and from those,determine the equation of the regression line.

In regression analysis,R-squared is also called the ___.

If x and y in a regression model are totally unrelated,___.

In regression,the predictor variable is called the dependent variable.

Louis Katz,a cost accountant at Papalote Plastics,Inc.(PPI),is analyzing the manufacturing costs of a moulded plastic telephone handset produced by PPI.Louis's independent variable is production lot size (in 1,000's of units),and his dependent variable is the total cost of the lot (in $100's).Regression analysis of the data yielded the following tables: For a lot size of 10,000 handsets,Louis' model predicts total cost will be ___.

Abby Kratz,a market specialist at the market research firm of Saez,Sikes,and Spitz,is analyzing household budget data collected by her firm.Abby's dependent variable is monthly household expenditures on groceries (in $'s),and her independent variable is annual household income (in $1,000's).Regression analysis of the data yielded the following tables. 11ea888b_4160_b5c5_bb89_19f45c45177f_TB1680_00 For a household with $50,000 annual income,Abby's model predicts monthly grocery expenditures of ___.s),and her independent variable is annual household income (in $1,000's).Regression analysis of the data yielded the following tables. For a household with $50,000 annual income,Abby's model predicts monthly grocery expenditures of ___." class="answers-bank-image d-inline" loading="lazy" > For a household with $50,000 annual income,Abby's model predicts monthly grocery expenditures of ___.s),and her independent variable is annual household income (in $1,000's).Regression analysis of the data yielded the following tables. For a household with $50,000 annual income,Abby's model predicts monthly grocery expenditures of ___." class="answers-bank-image d-inline" loading="lazy" > 11ea888b_4160_b5c5_bb89_19f45c45177f_TB1680_00 For a household with $50,000 annual income,Abby's model predicts monthly grocery expenditures of ___.

The following data is to be used to construct a regression model: The regression equation is ___.

Data points that lie apart from the rest of the points are called deviants.

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: For a sales district with 20,000 teenagers,Alan's model predicts annual CD sales of ___.

Abby Kratz,a market specialist at the market research firm of Saez,Sikes,and Spitz,is analyzing household budget data collected by her firm.Abby's dependent variable is monthly household expenditures on groceries (in $'s),and her independent variable is annual household income (in $1,000's).Regression analysis of the data yielded the following tables: 11ea888b_4160_197f_bb89_73f394b66705_TB1680_00 The correlation coefficient between the two variables in this regression is ___.s),and her independent variable is annual household income (in $1,000's).Regression analysis of the data yielded the following tables: The correlation coefficient between the two variables in this regression is ___." class="answers-bank-image d-inline" loading="lazy" > The correlation coefficient between the two variables in this regression is ___.s),and her independent variable is annual household income (in $1,000's).Regression analysis of the data yielded the following tables: The correlation coefficient between the two variables in this regression is ___." class="answers-bank-image d-inline" loading="lazy" > 11ea888b_4160_197f_bb89_73f394b66705_TB1680_00 The correlation coefficient between the two variables in this regression is ___.

The assumptions underlying simple regression analysis include ___.

A standard deviation of the error of the regression model is called the ___.

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

The total of the squared residuals is called the ___.

Calculate the standard error of the estimate using the sum of squares of error,and use the standard error of the estimate to determine the fit of the model.