Exam 9: Inference for Regression

Use the following to answer the questions below: In a regression analysis with n = 25, SSE = 1,800 and SSTotal = 2,000. -Use this information to fill in all values in an analysis of variance table as shown. Round decimal answers to three decimal places.

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 -Is the linear model effective at predicting the number of calories in lunch/dinner menu items at McDonald's? Use the information from the computer output (and α = 0.05) for this test. Include all details of the test.

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 -What are the degrees of freedom for constructing a confidence interval for, or performing a test about, the population slope?

Use the equation of the least squares to predict the selling price of a 92-year-old home.

In a random sample of 41 students, the correlation between Math SAT score and college GPA is 0.289. Is there a significant linear association between Math SAT score and college GPA? Use α = 0.05. Include all details of the test. Round the test statistic to two decimal places.

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. -Use the scatterplot to determine whether we should have any strong 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) -Consider the scatterplot. Should we have any significant concerns about the conditions being met for using a linear model with these data?

Use the following to answer the questions below: Fast food restaurants are required to publish nutrition information about the foods they serve. Nutrition information about a random sample of 15 McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the total fat content (in grams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. 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 specified. The regression equation is Calories = 137.1 + 15.06 Total Fat (g) -What are the degrees of freedom for constructing a confidence interval for, or performing a test about, the population slope?

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

The website for the Quantitative Environmental Learning Project (funded by the National Science Foundation) describes data they collected on the lengths and widths of Puget Sound Butter Clams. A scatterplot of the data (with the regression line) is provided. Use the scatterplot to check each of the conditions for using a linear model with this data. Is using a linear model appropriate for these data?

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. -Is the linear model effective at predicting the price of used Hyundai Elantras? Use the information from the computer output and α = 0.05. Include all details of the test.

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. -Compute the t test statistic for the slope.

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 equation of the least squares line to predict the number of calories in a lunch/dinner menu item with 1,000 mg of sodium.

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 price of a single used Hyundai Elantra with 70,000 miles.

In a random sample of 41 students, the correlation between Verbal SAT score and college GPA is 0.574. Is there evidence of a positive correlation between Verbal SAT score and college GPA? Use a 5% significance level. Include all details of the test. Round the test statistic to two decimal places.

Is there evidence of a negative correlation between the selling price of homes in this portion of northern New York and their age? Use α = 0.05. Include all details of the test.

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 -The website also provides information about the sugar content in the menu items at McDonald's. For this sample of lunch/dinner menu items, the correlation between number of calories and sugar content (in grams) is 0.35. Test, at the 5% significance level, if there is a significant linear association between number of calories and sugar content for McDonald's lunch/dinner menu items. 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.) -Based on the available information, what is the correlation between selling price (in thousands) and size (square feet) of the sample of recently sold homes? Use three decimal places in your answer.

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 -Compute the t test statistic for the slope.

Use the provided computer output to compute the standard deviation of the error term.