Objective #1: Draw and analyze scatter plots. Objective #2: Write a prediction equation and draw line of best fit lines. Analyzing Scatter Plots Negative Correlation Positive Correlation Relatively No Correlation Writing a predication equation and drawing a line of best fit Using any two points from the scatter plot, draw a line that best fits ALL of the data points! This line is referred to as the line of best fit for the scatter plot. Use the two points to write the equation of the line. This equation is your prediction equation. Example: The table shows the federal minimum hourly wage for 1974-1997. year 1974 $ 1975 1976 1977 1978 1979 1980 1981 1990 1991 1996 1997 $1.90 $2.00 $2.20 $2.30 $2.65 $2.90 $3.10 $3.35 $3.80 $4.25 $4.75 $5.15 1. Draw a scatter plot for the federal minimum wage each year where x = the number of years since 1974 and y = the hourly minimum wage. Then determine if the scatter plot has positive, negative, or no correlation. 2. Use two points to write the equation for your line of best fit. 3. Use your equation to predict the minimum wage today. Objective #3: Use a graphing calculator to compute correlation coefficients to determine goodness of fit. Objective #4: Solve problems using prediction equation models. The graphing calculator can compute the best-fit line for a data set which is called the regression line. The correlation coefficient (r) describes how close a set of data are to a line. The more linear the data, the more closely the correlation coefficient is to 1 and -1. o A positive correlation coefficient is associated with linear data with positive slope. o A negative correlation coefficient is associated with linear data with negative slope.
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