Section 10.2: Fitting a Linear Model to Data

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Presentation transcript:

Section 10.2: Fitting a Linear Model to Data

Objective(s): By following instructions, students will be able to: Use the linear regression function on a graphing calculator to find the line of best fit for a two-variable data set.

Explore 2A

Explore 2A

Explore 2

The data in the tables are given along with two possible lines of fit The data in the tables are given along with two possible lines of fit. Calculate the residual for both lines of fit and then find the sum of the squared residuals. Identify the lesser sum and the line with better fit. Explain 1A X Y(actual) Y(predicted) by y=x+2.4 Residual for y=x+2.4 Square the residuals y=x+2.4 2 7 4 8 6 Y(predicted) by y=x+2.2 Residual for y=x+2.2 Square the residuals y=x+2.2 Compare the sums of the squared residuals.

The data in the tables are given along with two possible lines of fit The data in the tables are given along with two possible lines of fit. Calculate the residual for both lines of fit and then find the sum of the squared residuals. Identify the lesser sum and the line with better fit. Explain 1B X Y(actual) Y(predicted) by y=2x+3 Residual for y=2x+3 Square the residuals Y=2x+3 1 5 2 4 3 6 10 Y(predicted) by y=2x+2.5 Residual for y=2x+2.5 Square the residuals Y=2x+2.5 Next, square the residuals and find their sum.

The data in the table are given along with two possible lines of fit The data in the table are given along with two possible lines of fit. Calculate the residuals for both lines of fit and then find the sum of the squared residuals. Identify the lesser sum and the line with better fit. Your-Turn #1

Given latitudes and average temperatures in degrees Celsius for several cities, use your calculator to find an equation for the line of best fit. Then interpret the correlation coefficient and use the line of best fit to estimate the average temperature of another city using the given latitude. Explore 2A

Given latitudes and average temperatures in degrees Celsius for several cities, use your calculator to find an equation for the line of best fit. Then interpret the correlation coefficient and use the line of best fit to estimate the average temperature of another city using the given latitude. Explore 2B

Your-Turn #2

HW: Sec 10.2 pg 371 #s 1-13 ODD, 15-21 ALL