Linear Best Fit Models Look at the scatter

Linear Best Fit Models Look at the scatter plot to the right and make some observations. 5 12 9 14

Answer Scatter plots can be messy to understand. Some possible observations are that there is clustering around the 40 -50 degree domain and 40 -50 inches range. Clustering is a group of the same or similar elements occurring closely together. 5 12 9 14

Old Faithful • It’s a geyser in Yellowstone National Park that shoots out hot water. • Eruptions can shoot 3, 700 to 8, 400 US gallons of boiling water to a height of 106 to 185 feet lasting from 1. 5 to 5 minutes. The average height of an eruption is 145 feet. The highest recorded eruption was 185 feet. Intervals between eruptions can range from 45 to 125 minutes, averaging 66. 5 minutes in 1939, slowly increasing to an average of 90 minutes apart today. • http: //www. youtube. com/watch? v=t. Shh. Zvv. IM 84 5 12 9 14

• Answer the following questions: • (1) Where does the clustering take place. Why do you think this is. • (2) Are there any outliers in the data? • (3) Would you consider this a linear or nonlinear pattern? • (4) Is the line of best fit accurate for the data? 5 12 9 14

• Answers • (1) Where does the clustering take place. Why do you think this is. • At 2 min. and 4. 5 min. • (2) Are there any outliers in the data? • Several • (3) Would you consider this a linear or non-linear pattern? • Linear but could argue against • (4) Is the line of best fit accurate for the data? • Fairly accurate 5 12 9 14

• Could you write an equation for the line of best fit? Think in terms of y= mx + b! • Think of making a table to determine the slope and yintercept. x y 0 45 1 45 2 55 3 65 4 75 5 90 so y = 10 x + 45 approximately 5 12 9 14

12 20 1 5 9 14 18 4 13 PRACTICE PROBLEMS 11392 1 -10 (5 and 10 may be 6 hard) Page 10 8 16 7 19 3 17 2 15