Algebra 2 Companion Book, Volume 1

2.2 Review Worksheet (continued)

2.2.2 Curve Fitting with Linear Models 10.  Make a scatter plot for this data set using the atomic number as the independent variable. Identify the correlation, sketch a line of best fit, and find its equation. Selected Chemical Elements Atomic Number 89 13 95 51 18 33 85 56 97 4 83107 5 35 Atomic Mass 227 27 243 122 40 75 210 137 247 9 209 264 11 80

11.  Hummingbird wing beat rates are much higher than those in other birds. Estimates for various species are given in the table. Hummingbird Wing Beats Mass ( g ) 3.1 2.0 3.2 4.0 3.7 1.9 4.5 Wing Beats (per s ) 60 85 50 45 55 90 40 a. Make a scatter plot of the data using mass as the independent variable. Hummingbird Wing Beats Mass (g) Wing Beats (per s ) 3.1 60 2.0 85 3.2 50 4.0 45 3.7 55 1.9 90

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b. Find the correlation coefficient and the equation of the line of best fit. Draw the line of best fit on your scatter plot. c. Predict the wing beats rate for a Giant Hummingbird with a mass of 19 g . How accurate do you think your prediction is?

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