Exam 9: Inference for Regression

Use the following to answer the questions below: Fast food restaurants are been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the sodium content (in milligrams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Some summary statistics, partial computer output from a regression analysis, and a scatterplot (with regression line) of the data are provided. Use two decimal places when reporting the results from any calculations, unless otherwise -Two intervals are given for the same value of the explanatory variable. Which interval is the confidence interval for the mean response at this value of the explanatory variable?

Construct and interpret a 95% interval for the selling price of a single 92-year-old home.

Use the following to answer the questions below: Fast food restaurants are been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the sodium content (in milligrams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Some summary statistics, partial computer output from a regression analysis, and a scatterplot (with regression line) of the data are provided. Use two decimal places when reporting the results from any calculations, unless otherwise -Two intervals are given for the same value of the explanatory variable. Which interval is the prediction interval for an individual response at this value of the explanatory variable?

Use the following to answer the questions below: A quantitatively savvy, young couple is interested in purchasing a home in northern New York. They collected data on 48 houses that had recently sold in the area. They want to predict the selling price of homes (in thousands of dollars) based on the size of the home (in square feet). The regression equation is Price (in thousands) = 17.1 + 0.0643 Size (sq. ft.) -Use the equation of the least squares line to predict the selling price of a home that is 1,742 square feet in size.

Use the following to answer the questions below: Fast food restaurants are been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the sodium content (in milligrams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Some summary statistics, partial computer output from a regression analysis, and a scatterplot (with regression line) of the data are provided. Use two decimal places when reporting the results from any calculations, unless otherwise -Use the following output to identify and interpret a 95% interval for the mean number of calories in all McDonald's lunch/dinner menu items with 1,200 mg of sodium. Predicted Values for New Observations

Use the following to answer the questions below: Fast food restaurants are been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the sodium content (in milligrams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Some summary statistics, partial computer output from a regression analysis, and a scatterplot (with regression line) of the data are provided. Use two decimal places when reporting the results from any calculations, unless otherwise -What is the estimated slope in this regression model? Interpret the slope in context.

Use the following to answer the questions below: A quantitatively savvy, young couple is interested in purchasing a home in northern New York. They collected data on 48 houses that had recently sold in the area. They want to predict the selling price of homes (in thousands of dollars) based on the size of the home (in square feet). The regression equation is Price (in thousands) = 17.1 + 0.0643 Size (sq. ft.) -Use the computer output to provide and interpret a 95% interval for the selling price of a single 2,000 square foot house in this portion of northern New York.

Use the following to answer the questions below: Data were collected on the age (in years) and price (in thousands of dollars) of a random sample of 25 used Hyundai Elantras. A scatterplot of the data (with regression line) and computer output from a regression analysis are provided. Use three decimal places when reporting the results from any calculations, unless otherwise specified. The regression equation is Price = 15.3 - 1.71 Age -Use the scatterplot to determine whether we should have any serious concerns about the conditions being met for using a linear model with these data.

Use the following to answer the questions below: Students in a small statistics course wanted to investigate if forearm length (in cm) was useful for predicting foot length (in cm). The data they collected are displayed in the provided scatterplot (with regression), and the computer output from the analysis is provided. Use three decimal places when reporting the results from any calculations, unless otherwise specified. ‪ The regression equation is Foot (cm) = 9.22 + 0.574 Forearm (cm) -Based on the output, provide and interpret a 95% confidence interval for the mean foot length for all individuals with a forearm that is 28 cm long.

Use the following to answer the questions below: Data were collected on the mileage (in thousands of miles) and price (in thousands of dollars) of a random sample of used Hyundai Elantras. A scatterplot of the data (with regression line), some summary statistics, and partial computer output from a regression analysis are provided. Use three decimal places when reporting the results from any calculations, unless otherwise specified. -Compute the t test statistic for the slope.

Use the following to answer the questions below: Data were collected on the mileage (in thousands of miles) and price (in thousands of dollars) of a random sample of used Hyundai Elantras. A scatterplot of the data (with regression line), some summary statistics, and partial computer output from a regression analysis are provided. Use three decimal places when reporting the results from any calculations, unless otherwise specified. -Use the provided computer output to compute the standard deviation of the error term.

Use the following to answer the questions below: Data were collected on the mileage (in thousands of miles) and price (in thousands of dollars) of a random sample of used Hyundai Elantras. A scatterplot of the data (with regression line), some summary statistics, and partial computer output from a regression analysis are provided. Use three decimal places when reporting the results from any calculations, unless otherwise specified. -Use the following computer output to identify and interpret a 95% interval for the mean price of all used Hyundai Elantras with 30,000 miles. Predicted Values for New Observations

Use the following to answer the questions below: Fast food restaurants are been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the sodium content (in milligrams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Some summary statistics, partial computer output from a regression analysis, and a scatterplot (with regression line) of the data are provided. Use two decimal places when reporting the results from any calculations, unless otherwise -Use the provided output to construct and interpret a 95% interval for the number of calories in a single McDonald's lunch/dinner menu item with 1,000 mg of sodium.

Is the linear model effective at predicting the selling price of homes in this portion of northern New York? Use the provided computer output (and ? = 0.05) for this test.

Use the following to answer the questions below: Computer output from a regression analysis is provided. -What is the sample intercept for this model?

Use the following to answer the questions below: Fast food restaurants are been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the sodium content (in milligrams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Some summary statistics, partial computer output from a regression analysis, and a scatterplot (with regression line) of the data are provided. Use two decimal places when reporting the results from any calculations, unless otherwise -Use the following output to identify and interpret a 95% interval for the number of calories in a single McDonald's lunch/dinner menu item with 800 mg of sodium. Predicted Values for New Observations

Use the following to answer the questions below: Computer output from a regression analysis is provided. -The sample size in this situation is n = 20. What are the degrees of freedom for constructing a confidence interval, or performing a test about, the population slope?

Use the following to answer the questions below: Data were collected on GPA and number of Facebook friends for students in a small statistics class. Some summary statistics, partial output from the regression analysis, and a scatterplot of the data (with regression line) are provided. Assume that students in this class are typical of all students at the university. Use three decimal places when reporting the results from any calculations, unless otherwise specified. -The correlation between GPA and number of Facebook friends is -0.686. Use the correlation and α = 0.05 to test for a negative linear association between GPA and number of Facebook friends. Include all details of the test.

Use the following to answer the questions below: A quantitatively savvy, young couple is interested in purchasing a home in northern New York. They collected data on 48 houses that had recently sold in the area. They want to predict the selling price of homes (in thousands of dollars) based on the size of the home (in square feet). The regression equation is Price (in thousands) = 17.1 + 0.0643 Size (sq. ft.) -Using the scatterplot, should we have any serious concerns about the conditions being met for using a linear model with these data.

Use the following to answer the questions below: Students in a small statistics course wanted to investigate if forearm length (in cm) was useful for predicting foot length (in cm). The data they collected are displayed in the provided scatterplot (with regression), and the computer output from the analysis is provided. Use three decimal places when reporting the results from any calculations, unless otherwise specified. ‪ The regression equation is Foot (cm) = 9.22 + 0.574 Forearm (cm) -Use the ANOVA table to compute and interpret .