1. Graphing of Data Why do we display data with graphs?

2. Bozeman – Beginners to Graphing 10 min. http://www.youtube.com/watch?v=9BkbYeTC6Mo&list=PLllV waZQkS2omBpLjQm_BAQKsQ7lq86ku&index=4 http://www.youtube.com/watch?v=9BkbYeTC6Mo&list=PLllV waZQkS2omBpLjQm_BAQKsQ7lq86ku&index=4 Bozeman Graphing by hand instructions 6 min. http://www.youtube.com/watch?v=GUYRMdcEs00&list=PLllV waZQkS2omBpLjQm_BAQKsQ7lq86ku http://www.youtube.com/watch?v=GUYRMdcEs00&list=PLllV waZQkS2omBpLjQm_BAQKsQ7lq86ku Bozeman Graphing Excel Spreadsheet 5 min. http://www.youtube.com/watch?v=yvYvHU83_6Y&list=PLllVw aZQkS2omBpLjQm_BAQKsQ7lq86ku http://www.youtube.com/watch?v=yvYvHU83_6Y&list=PLllVw aZQkS2omBpLjQm_BAQKsQ7lq86ku

3. Visualize data See relationship btw variables. See outliers from data. Show math relationship. Finding physical constants. We use line graphs. Give graphical data display because:

4. Types of graphs We usually use line graphs to find relationship between variables.

5. Graph Analysis Direct Linear proportion y = mx + b. If y is proportional to x, the graph of y vs. x is a straight line passing through the origin. Double x, y double, triple x, y triples etc. Since slope is constant, y/x = k any 2 points on the line.

6. What graph is this? Y = -kx. This is a linear graph! Is it proportional?

7. Inverse hyperbolic Y = k/xyx = k We make transformation of graph to line by calculating & plotting the function x on the x axis. Linearize graph by plotting y against 1/x to get linear. What would the transformed graph look like?

8. Sound Intensity ___1___ distance Slope will be k

9. Parabolic Y = kx 2. y/x 2 = k Transform graph y against x 2 make it linear What will the slope be?

10. Cyclic Graph

11. Sketching graphs Graph axis independent (x) / dependent (y). Time goes on x. Scale – large take up most of sheet. Plot dot for average values. Line or curve of best fit by hand. Can buy shape to help fit curves. Best fit straight line may or may not pass through origin. Linearize Curves. Calculate slope to find physical constants.