Exam 6: Correlation and Linear Regression

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For the following scatterplot, For the following scatterplot,

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A small independent organic food store offers a variety of specialty coffees.To determine whether price has an impact on sales, the managers kept track of how many Pounds of each variety of coffee were sold last month.Based on the scatterplot shown Below, which of the following statements is true? A small independent organic food store offers a variety of specialty coffees.To determine whether price has an impact on sales, the managers kept track of how many Pounds of each variety of coffee were sold last month.Based on the scatterplot shown Below, which of the following statements is true?

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In discussing how its customers use online services, a bank manager noted "there seems to be a strong correlation between the use of the online bill paying feature and gender." Comment on this statement.

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There may be an association between the use of online bill paying and gender, but these
variables are both categorical so they cannot be correlated.

A company studying the productivity of its employees on a new information system was interested in determining if the age (X) of data entry operators influenced the number Of completed entries made per hour (Y).The regression equation is A company studying the productivity of its employees on a new information system was interested in determining if the age (X) of data entry operators influenced the number Of completed entries made per hour (Y).The regression equation is   Suppose the actual completed entries per hour for an operator who is 35 years old was 8. The residual is Suppose the actual completed entries per hour for an operator who is 35 years old was 8. The residual is

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A supermarket chain gathers data on the amount they spend on promotional material (e.g., coupons, etc.) and sales revenue generated each quarter.The predictor variable is

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The scatterplot shows monthly sales figures (in units) and number of months of experience for a sample of salespeople. The scatterplot shows monthly sales figures (in units) and number of months of experience for a sample of salespeople.   The correlation between monthly sales and level of experience is most likely The correlation between monthly sales and level of experience is most likely

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A small independent organic food store offers a variety of specialty coffees.To determine whether price has an impact on sales, the managers kept track of how many Pounds of each variety of coffee were sold last month. A small independent organic food store offers a variety of specialty coffees.To determine whether price has an impact on sales, the managers kept track of how many Pounds of each variety of coffee were sold last month.   Based on the scatterplot, the linear relationship between number of pounds of coffee sold Per week and price is Based on the scatterplot, the linear relationship between number of pounds of coffee sold Per week and price is

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Data were collected on monthly sales revenues (in $1,000s) and monthly advertising expenditures ($100s) for a sample of drug stores.The regression line relating revenues (Y) to advertising expenditure (X) is estimated to be Data were collected on monthly sales revenues (in $1,000s) and monthly advertising expenditures ($100s) for a sample of drug stores.The regression line relating revenues (Y) to advertising expenditure (X) is estimated to be   .The predicted Sales revenue for a month in which $1,000 was spent on advertising is .The predicted Sales revenue for a month in which $1,000 was spent on advertising is

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Use the following to answer questions To determine whether the cash bonus paid by a company is related to annual pay, data were gathered for 10 account executives at Johnson Financial Group who received cash bonuses in 2007.The data, scatterplot, and summary statistics are shown below. Use the following to answer questions  To determine whether the cash bonus paid by a company is related to annual pay, data were gathered for 10 account executives at Johnson Financial Group who received cash bonuses in 2007.The data, scatterplot, and summary statistics are shown below.     -Estimate the linear regression model that relates the response variable (cash bonus) to the predictor variable (annual pay). a.Find the slope of the regression line. b.Find the intercept of the regression line. c.Write the equation of the linear model. Use the following to answer questions  To determine whether the cash bonus paid by a company is related to annual pay, data were gathered for 10 account executives at Johnson Financial Group who received cash bonuses in 2007.The data, scatterplot, and summary statistics are shown below.     -Estimate the linear regression model that relates the response variable (cash bonus) to the predictor variable (annual pay). a.Find the slope of the regression line. b.Find the intercept of the regression line. c.Write the equation of the linear model. -Estimate the linear regression model that relates the response variable (cash bonus) to the predictor variable (annual pay). a.Find the slope of the regression line. b.Find the intercept of the regression line. c.Write the equation of the linear model.

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Shown below is a correlation table showing correlation coefficients between stock price, earnings per share (EPS), and price/earnings (P/E) ratio for a sample of 19 publicly traded companies. Correlations: Stock Price, EPS, PE Shown below is a correlation table showing correlation coefficients between stock price, earnings per share (EPS), and price/earnings (P/E) ratio for a sample of 19 publicly traded companies. Correlations: Stock Price, EPS, PE   a.What is the correlation between stock price and EPS? Interpret. b.What is the correlation between stock price and PE? Interpret. c.What is the correlation between EPS and PE? Interpret. a.What is the correlation between stock price and EPS? Interpret. b.What is the correlation between stock price and PE? Interpret. c.What is the correlation between EPS and PE? Interpret.

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Based on the following residual plot, which condition / assumption for linear regression is not satisfied? Based on the following residual plot, which condition / assumption for linear regression is not satisfied?

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Linear regression was used to describe the trend in world population over time. Below is a plot of the residuals versus predicted values.What does the plot of residuals Suggest? Linear regression was used to describe the trend in world population over time. Below is a plot of the residuals versus predicted values.What does the plot of residuals Suggest?

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Use the following to answer questions To determine whether the cash bonus paid by a company is related to annual pay, data were gathered for 10 account executives at Johnson Financial Group who received cash bonuses in 2007.The data, scatterplot, and summary statistics are shown below. Use the following to answer questions  To determine whether the cash bonus paid by a company is related to annual pay, data were gathered for 10 account executives at Johnson Financial Group who received cash bonuses in 2007.The data, scatterplot, and summary statistics are shown below.     -Using the estimated regression equation, a.Estimate the cash bonus for an executive at Johnson Financial earning $82, 613 a year. b.What is the residual for this estimate? Use the following to answer questions  To determine whether the cash bonus paid by a company is related to annual pay, data were gathered for 10 account executives at Johnson Financial Group who received cash bonuses in 2007.The data, scatterplot, and summary statistics are shown below.     -Using the estimated regression equation, a.Estimate the cash bonus for an executive at Johnson Financial earning $82, 613 a year. b.What is the residual for this estimate? -Using the estimated regression equation, a.Estimate the cash bonus for an executive at Johnson Financial earning $82, 613 a year. b.What is the residual for this estimate?

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A consumer research group examining the relationship between the price of meat (per pound) and fat content (in grams) gathered data that produced the following scatterplot. A consumer research group examining the relationship between the price of meat (per pound) and fat content (in grams) gathered data that produced the following scatterplot.   If the point in the lower left hand corner (2 grams of fat; $3.00 per pound) is removed, the Correlation would most likely If the point in the lower left hand corner (2 grams of fat; $3.00 per pound) is removed, the Correlation would most likely

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A company studying the productivity of their employees on a new information system was interested in determining if the age (X) of data entry operators influenced the number Of completed entries made per hour (Y).The regression equation is A company studying the productivity of their employees on a new information system was interested in determining if the age (X) of data entry operators influenced the number Of completed entries made per hour (Y).The regression equation is   If   =2.61, then the correlation coefficient between age and productivity is If A company studying the productivity of their employees on a new information system was interested in determining if the age (X) of data entry operators influenced the number Of completed entries made per hour (Y).The regression equation is   If   =2.61, then the correlation coefficient between age and productivity is =2.61, then the correlation coefficient between age and productivity is

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For each of the following scenarios indicate which is the predictor variable and which is the response variable. a.A study examined consumption levels of oil and carbon dioxide emissions for a sample of counties. b.Data were collected on job performance rating and hours of training for a sample of employees at a telecommunications repair facility. c.Salary data as well as years of managerial experience were collected for a sample of executives in the high tech industry.

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Suppose the correlation, r, between two variables x and y is -0.44.What percentage of the variability in y cannot be explained by x?

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Use the following to answer questions To determine whether the cash bonus paid by a company is related to annual pay, data were gathered for 10 account executives at Johnson Financial Group who received cash bonuses in 2007.The data, scatterplot, and summary statistics are shown below. Use the following to answer questions  To determine whether the cash bonus paid by a company is related to annual pay, data were gathered for 10 account executives at Johnson Financial Group who received cash bonuses in 2007.The data, scatterplot, and summary statistics are shown below.     -Comment on whether each of the following conditions for correlation / linear regression is met. a.Quantitative variable condition. b.Linearity condition. c.Outlier condition. Use the following to answer questions  To determine whether the cash bonus paid by a company is related to annual pay, data were gathered for 10 account executives at Johnson Financial Group who received cash bonuses in 2007.The data, scatterplot, and summary statistics are shown below.     -Comment on whether each of the following conditions for correlation / linear regression is met. a.Quantitative variable condition. b.Linearity condition. c.Outlier condition. -Comment on whether each of the following conditions for correlation / linear regression is met. a.Quantitative variable condition. b.Linearity condition. c.Outlier condition.

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A study examined consumption levels of oil and carbon dioxide emissions for sample of counties.The response variable in this study is

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The following scatterplot shows monthly sales figures (in units) and number of months of experience on the job for a sample of 19 salespeople. The following scatterplot shows monthly sales figures (in units) and number of months of experience on the job for a sample of 19 salespeople.   a.Describe the association between monthly sales and level of experience. b.Do these data satisfy the conditions for computing a correlation coefficient? Explain. c.Estimate the correlation. a.Describe the association between monthly sales and level of experience. b.Do these data satisfy the conditions for computing a correlation coefficient? Explain. c.Estimate the correlation.

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