Graphing Practice 1: Name ____________________________ Inches vs. cm Hour _____ Date __________________ Inches Centimeters 1.0 2.0 3.0 4.0 5.0 6.0 10.0 2.5 5.1 7.6 10.2 12.7 15.2 25.4 Centimeters Plot the data below to make a graph for converting inches to centimeters. Remember to label the axes of the graph as well as the graph. Extend the line to the end of the graph. Use the completed graph to answer the questions that follow. Interopolated (between data) Extrapolated (outside of data) Inches 1. How many centimeters are in 8 inches? About 20 cm Are you interpolating or extrapolating data? Interpolating How do you know? 8 inches is between our outside values of 1 and 10 inches 2. How many inches are in 6 centimeters? About 2 ¼ in 3. How many inches are in 30.5 centimeters? About 12 ½ in 4. Approximately how many inches are in 50.8 centimeters? About 20.5 in Are you interpolating or extrapolating data? extrapolating How do you know? Because 50.8 cm is outside of our largest cm in the table (25.4 cm) Name ____________________________ Hour _____ Date __________________ Graphing Practice 2 Using Excel, graph the following sets of data following the instructions provided for you. Follow special instructions for each set given below. Problem 1: I enjoy archery and we wanted to find out if we changed the distance to our target how that would affect our ability to hit the target. We figured that the farther away we would get, the fewer arrows would hit the target (duh!). Our data is in the table below. Draw a quick sketch of the line you expect to see on the graph to the right. Then using Excel, graph it and note the relationship. Special Instructions: Graph Type: Scatter with Only Markers Trendline Type: Linear Trendline Number of arrows hitting target at different distances How the number of arrows hitting a target varies with the distance 15 24 30 20 45 14 60 6 75 2 30 Number of hits Distance from Target (m) Average Number of Hits 25 20 15 10 5 0 0 20 40 60 80 Distance from Target (m) Problem 2: I also do a lot of work on houses and I notice that my time climbing a ladder seems to increase the taller the ladder is, but is it linear or does it take longer to climb the last 5 feet than the 1 st 5 feet? Again, sketch what you think your graph will look like and then using Excel, graph it and compare. Special Instructions: Graph Type: Scatter with Straight Line Markers Trendline Type: Linear Trendline Time required to climb ladders of varying heights Length of Ladder (m) Time to Climb (sec) 0 0 6 11 8 13 10 18 12 22 15 30 Time (s) Length of Ladder vs. Time to Climb 35 30 25 20 15 10 5 0 -5 0 5 10 Ladder height (m) 15 20
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