2.2.2 Curve Fitting With Linear Models − Worksheet
Example 1: 1. Make a scatter plot for this data set using gallons as the independent variable. Identify the correlation, sketch a line of best fit, and find its equation. Distance Traveled Gallons 11.2 9.8 10.6 10.1 12.3 8.7 10.1 Distance (mi) 338 296 332 324 368 263 305 Example 2: 2. Use the data relating the average temperature in a month to the heating bill at Claire’s house that month. Claire’s Heating Bills Mean Temperature ( º F) 38 42 44 36 42 49 38 Heating Bill ($) 93 79 75 83 74 67 86 a. Make a scatter plot using mean temperature as the independent variable.
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 heating bill for a month in which the average temperature is 40°F. How accurate do you think your prediction is?
Example 3: 3. Here are the number of teachers and the number of students at a randomly selected sample of high schools in a city. Teachers and Students at Selected Schools Teachers 92 52 114 49 110 62 76 84 Students 1050 653 753 381 1312 813 496 910
a. Make a scatter plot of the data using teachers as the independent variable.
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 number of teachers in a high school that has 600 students. How accurate do you think your prediction is?
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