Graphing of Data Why do we display data

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Graphing of Data • Why do we display data with graphs?

Graphing of Data • Why do we display data with graphs?

• Bozeman – Beginners to Graphing 10 min. • http: //www. youtube. com/watch?

• Bozeman – Beginners to Graphing 10 min. • http: //www. youtube. com/watch? v=9 Bkb. Ye. TC 6 Mo&list=PLll. V wa. ZQk. S 2 om. Bp. Lj. Qm_BAQKs. Q 7 lq 86 ku&index=4 • Bozeman Graphing by hand instructions 6 min. • http: //www. youtube. com/watch? v=GUYRMdc. Es 00&list=PLll. V wa. ZQk. S 2 om. Bp. Lj. Qm_BAQKs. Q 7 lq 86 ku • Bozeman Graphing Excel Spreadsheet 5 min. • http: //www. youtube. com/watch? v=yv. Yv. HU 83_6 Y&list=PLll. V wa. ZQk. S 2 om. Bp. Lj. Qm_BAQKs. Q 7 lq 86 ku

Give graphical data display because: • • • Visualize data See relationship btw variables.

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

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

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

Graph Analysis Force N • Direct Linear proportion y = mx + b. •

Graph Analysis Force N • 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. 310 300 290 280 270 260 250 240 230 220 210 200 190 180 170 160 150 140 130 120 110 100 90 80 70 60 50 40 30 20 10 0 0 0. 8 1. 6 2. 4 3. 2 4 4. 8 Stretch 5. 6 6. 4 7. 2 8 8. 8 9. 6

• • What graph is this? Y = -kx. This is a linear

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

Inverse hyperbolic • Y = k/x yx = k • We make transformation of

Inverse hyperbolic • Y = k/x yx = 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?

Sound Intensity Slope will be k ___1___ distance

Sound Intensity Slope will be k ___1___ distance

Parabolic • Y = kx 2. y/x 2 = k • Transform graph y

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

Cyclic Graph

Cyclic Graph

Sketching graphs • Graph axis independent (x) / dependent (y). Time goes on x.

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.