Line of Best Fit Linear Regression.

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Presentation transcript:

Line of Best Fit Linear Regression

Entering Data : TI 30X 2nd DATA choose 2-VAR DATA (enter data and use down arrow) STAT VAR Arrow over to find a = b = r = The equation of the line is y = ax + b. Correlation Coefficient is r. To predict use a(predict #) + b. Estimated method

Entering Data : TI 36X - Pro DATA (type in data) 2nd DATA 2 VAR L1 L2 Frequency of 1 Calc a = b = r = The equation of the line is y = ax + b. Correlation Coefficient is r. To predict use a(predict #) + b. Estimated method You can use the x variable button to find a and b

Example 1: Year 1985 1990 1995 2000 2003 Consumer Debt 585 789 1096 The table shows the total outstanding consumer debt (excluding home mortgages) in billions of dollars in selected years. (Data is from the Federal Reserve Bulletin.) Let x = 0 correspond to 1985. Year 1985 1990 1995 2000 2003 Consumer Debt 585 789 1096 1693 1987 a) Find the regression equation appropriate for this data set. Round values to two decimal places.

Example 1: Year 1985 1990 1995 2000 2003 Consumer Debt 585 789 1096 1693 1987 Find and interpret the slope of the regression equation in the context of the scenario. 79.86 represents the increase in consumer debt each year. Find the approximate consumer debt in 1998. Find the approximate consumer debt in 2008.

Example 2: The table below shows the number of deaths per 100,000 people from heart disease in selected years. (Data is from the U.S. National Center for Health Statistics.) Let x = 0 correspond to 1960. Year 1960 1970 1980 1990 2000 2002 Deaths 559 483 412 322 258 240 a) Find the regression equation appropriate for this data set. Round values to two decimal places.

Example 2: Year 1960 1970 1980 1990 2000 2002 Deaths 559 483 412 322 258 240 Find and interpret the slope of the regression equation in the context of the scenario. -7.62 is the decrease in deaths caused by heart disease each year. Find the approximate number of deaths due to heart disease in 1995. Find the approximate number of deaths due to heart disease in 2008.

Classwork Linear Regression