Using the linear regression functionality on a graphing ...



Lesson 9-6 Regression – Graphing Calculator LabExample 1The table below displays data that relate the number of oil changes per year and the cost of engine repairs.3524258636000Based on the scatterplot, is the data linear, exponential, or quadratic?Use regression on your calculator to find the equation which models the data.Use the equation to determine the cost of engine repairs if the oil is changed every month. Does your answer make sense? Why or why not?Example 2The data at the right shows the cooling temperatures of a freshly brewed cup of coffee after it is poured from the brewing pot into a serving cup. The brewing temperature is approximately 180℉.503872510541000 Based on the scatterplot, is the data linear, exponential, or quadratic?Use regression on your calculator to find the equation which models the data.Use the equation to determine the temperature of the coffee after 60 minutes. Does your answer make sense? Why or why not?Example 3The table below lists the total estimated numbers of AIDS cases, by year of diagnosis from 1999 to 2003 in the United States (Source: US Dept. of Health and Human Services, Centers for Disease Control and Prevention, HIV/AIDS Surveillance, 2003.) 511365512700000Based on the scatterplot, is the data linear, exponential, or quadratic?Use regression on your calculator to find the equation which models the data.Use the equation to predict how many AIDS cases there will be in 2004. Does your answer make sense? Why or why not? Name _______________________________________Date ____________Block ______Linear, Exponential, and Quadratic Regression Activity Ten 25-year olds were surveyed to find out their years of formal education (first grade through college) and their annual income. The data is presented below. Years of Education8101212131416161819Income (in thousands)18192425.526.62830334045Based on the scatterplot, is the data linear, exponential, or quadratic?Use regression on your calculator to find the equation which models the data.Use the equation to determine how much someone would make who has no formal education. Does your answer make sense? Why or why not? The table below represents the number of students that that has been infected with the flu since the first student got sick.Week01234Sick Students1251250Based on the scatterplot, is the data linear, exponential, or quadratic?Use regression on your calculator to find the equation which models the data.Use the equation to determine how many students will be sick after 2 months. Does your answer make sense? Why or why not? College students were surveyed about how much they study per week throughout the semester (15 weeks long). The data is presented below. Week into the Semester1478101315Hours Studying158524917Based on the scatterplot, is the data linear, exponential, or quadratic?Use regression on your calculator to find the equation which models the data.Use the equation to determine how much someone will study after the semester is over. Does your answer make sense? Why or why not? ................
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