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Warm-Up What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3 ? F. 1/4.

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Presentation on theme: "Warm-Up What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3 ? F. 1/4."— Presentation transcript:

1 Warm-Up What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3 ? F. 1/4 F. G. 3/8 G. H. 3/5 H. J. 5/8 J. K. 7/8 K.

2 6.4 Fitting Linear Models to Data Learning Goal: To be able to find the least-squares line.

3 Least-Squares Line The process of fitting a curve to a set of data is called regression. Although several linear regression models my be used, the least-squares line is most common. You can find the least-squares line by using your calculator and the equation could be used to predict unknown values.

4 Over a number of years the weights of prize-winning pumpkins at the annual Topsfield Fair have tended to increase. Predict the winning pumpkin weight for the year 2005. Winning Pumpkin Weights- Topsfield Fair Year1984198519861987198819891990199119921993 Weight (lb) 433515.5530.5604.5490614470617.5718698

5 Step 1- Make a scatter plot of the data Let x = the number of years since 1983 Let y = winning pumpkin weight that year Use your calculator to find the linear regression. It should be y = 23.99x + 437.2

6 Step 2- Use the equation of the least- squares line to predict the unknown value. y = 23.99x + 437.2 2005 is 22 years after 1983. = 23.99(22) + 437.2 = 964.98 The winning pumpkin weight for the year 2005 will be about 965 lb.

7 The Kumar family planted a tree when they moved into their new home in 1991. Predict the height of the tree in 2015. YearHeight 199147 199256 199372 199485 199593 1996110 1997118 1998136 1999164 2000185

8 Homework Page 355 # 5 – 7


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