Exam 27: Exploring Relationships Among Variables

Use the following to answer the question(s) below. A large pharmaceutical company selected a random sample of new hires and obtained their job performance ratings based on their first six months with the company. These data were used to build a multiple regression model to predict the job performance of new hires based on age, GPA and gender (female = 1 and male = 0). The results of the analysis are shown below. -How much of the variability in Job Performance is explained by the regression model?

Which of the following is/are not correct about the best regression models?

Use the following to answer the question(s) below. Stock prices and earnings per share (EPS) data were collected for a sample of 15 companies. Below are the regression results. The dependent variable is Stock Price. -Which of the following statements is true about the correlation between stock price and EPS?

Below are residual plots for this regression model. Based on these plots, which of the following statements is true?

Use the following to answer the question(s) below. Data were collected for a sample of 12 pharmacists to determine if years of experience and salary are related. Below are the regression analysis results. The dependent variable is Salary in thousands of dollars. -The calculated t-statistic to test whether the regression slope is significant is

Use the following to answer the question(s) below. In order to examine if there is a relationship between the size of cash bonuses and pay scale, data were obtained on the average annual cash bonus and the average annual pay for a sample of 20 companies. Below is the regression analysis output with annual cash bonus as the dependent variable. -What is the correlation between average annual cash bonus and average annual pay?

Use the following to answer the question(s) below. A linear regression model was fit to data representing technology adoption over time. The regression output and residual plot appears below. -Based on the output and plot, which of the following statements is not true?

Re-expressing these data results in the following model The residuals plotted against the fitted values for this model is shown below. What is true about the predicted concentration level after 10 hours has elapsed?

Use the following to answer the question(s) below. A linear regression model was fit to data representing technology adoption over time. The regression output and residual plot appears below. -It is known that at 1% significance level the critical values for Durbin-Watson statistic are 0.738 and 1.038. The Durbin-Watson statistic indicates

A forester would like to estimate the diameter of maple trees based on age. She gathers data from trees that have been cut and plots their diameters (in inches) against their ages (in years). She fits a linear model and both the scatterplot and residual plots are shown below. Which of the following is true?

Use the following to answer the question(s) below. A large pharmaceutical company selected a random sample of new hires and obtained their job performance ratings based on their first six months with the company. These data were used to build a multiple regression model to predict the job performance of new hires based on age, GPA and gender (female = 1 and male = 0). The results of the analysis are shown below. -Based on the F-statistic and associated P-value, we can conclude that at α = 0.05

Use the following to answer the question(s) below. For many countries tourism is an important source of revenue. Data are collected on the number of foreign visitors to a country (in millions) and total tourism revenue (in billions of dollars) for a sample of 10 countries. Below is the regression analysis output with tourism revenue as the dependent variable. -At the 0.05 level of significance,

Use the following to answer the question(s) below. For many countries tourism is an important source of revenue. Data are collected on the number of foreign visitors to a country (in millions) and total tourism revenue (in billions of dollars) for a sample of 10 countries. Below is the regression analysis output with tourism revenue as the dependent variable. -The standard error of the slope for this estimated regression equation is

Below is the plot of residuals versus fitted values for this regression model. Based on the plot, which assumption/condition is definitely violated?

Use the following to answer the question(s) below. In order to examine if there is a relationship between the size of cash bonuses and pay scale, data were obtained on the average annual cash bonus and the average annual pay for a sample of 20 companies. Below is the regression analysis output with annual cash bonus as the dependent variable. -At 5% significance level, which of the following statements is true about the correlation between average annual cash bonus and average annual pay?

Use the following to answer the question(s) below. For many countries tourism is an important source of revenue. Data are collected on the number of foreign visitors to a country (in millions) and total tourism revenue (in billions of dollars) for a sample of 10 countries. Below is the regression analysis output with tourism revenue as the dependent variable. -The calculated t-statistic to test whether the regression slope is significantly different from zero is

Which of the following measures is used to check for collinearity when building a multiple regression model?

Use the following to answer the question(s) below. For many countries tourism is an important source of revenue. Data are collected on the number of foreign visitors to a country (in millions) and total tourism revenue (in billions of dollars) for a sample of 10 countries. Below is the regression analysis output with tourism revenue as the dependent variable. -How much of the variability in tourism revenue is accounted for by the number of foreign visitors?

Use the following to answer the question(s) below. Weekly commodity prices for heating oil (in cents) were obtained and regressed against time. Below is the regression output and residual plots from fitting a linear model. -Based on the output and plots, which of the following statements is not true?

Use the following to answer the question(s) below. Data were collected for a sample of 12 pharmacists to determine if years of experience and salary are related. Below are the regression analysis results. The dependent variable is Salary in thousands of dollars. -The P-value associated with this statistic is < 0.001. At the 0.05 level of significance