Exam 8: Regression Wisdom

The table below displays the latitude (degrees north)and average daily minimum temperature in January (in degrees Fahrenheit)for some cities located in the northern hemisphere. The scatter plot and regression equation are shown below: The regression analysis of this data yields the following values: R² = 0.7660 Use this model to predict the average daily minimum temperature in January for Panama City whose latitude is 9 degrees north.

The figure below shows the life expectancy for persons living in the U.S.A. The regression analysis of the data yields the following values: R² = 0.9539 Use the regression model to predict the life expectancy in 2015.

,The total home-game attendance for major-league baseball is the sum of all attendees for all stadiums during the entire season.The home attendance (in millions)for a number of years is shown in the table below. a)Make a scatterplot showing the trend in home attendance.Describe what you see. b)Determine the correlation,and comment on its significance. c)Find the equation of the line of regression.Interpret the slope of the equation. d)Use your model to predict the home attendance for 1998.How much confidence do you have in this prediction? Explain. e)Use the internet or other resource to find reasons for any outliers you observe in the scatterplot.

Which of the labeled points below are outliers?

Which of the labeled points below will exert the largest leverage on a linear model of the data?

A university studied students' grades and established a strong positive association between the high school average of incoming students and their university GPA.Describe three different possible cause-and-effect relationships that might be present.

The scatterplot below displays the total home attendance (in millions)for major league baseball's National League for the years 1960 through 2002.This total home attendance is the grand total of all attendees at all National League games during the season.For what range of years is a linear model appropriate?

Which of the following scatterplots of residuals suggests that a linear model may not be applicable? I II III IV

Which of the labeled points below are influential points?

The scatterplot below displays world population (in millions)for the years 0 - 1800.Where the population is an estimate,the lower estimate is given.For what range of years is a linear model appropriate?

The figure below shows the recent trend in first-birth rate for women in the U.S.A.between the ages of 18 and 19.(The first-birth rate is the number of 18 to 19 year-olds per 1000 who give birth to their first child). The regression analysis of this data yields the following values: R² = 0.6174 Use this model to predict the first-birth rate for 18 to 19 year-olds in 2006.

Which of the labeled points below will exert the largest leverage on a linear model of the data?