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Let’s predict how many grams of fat a sandwich with 650 calories would have. Lets predict how many calories a sandwich would have if it had 22 grams of.

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Presentation on theme: "Let’s predict how many grams of fat a sandwich with 650 calories would have. Lets predict how many calories a sandwich would have if it had 22 grams of."— Presentation transcript:

1 Let’s predict how many grams of fat a sandwich with 650 calories would have. Lets predict how many calories a sandwich would have if it had 22 grams of fat.

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3 Is there a limit to how fast a man can run ?Take a look at the world record times for the men's 100 m sprint from 1912 to 2002. 100 m Speed Demons DateTime Donald LippincottUSA191210.6 Charles PaddockUSA192110.4 Percy WilliamsCan193010.3 Jesse OwensUSA193610.2 Willie WilliamsUSA195610.1 Armin HaryGerm196010.0 Jim HinesUSA19689.95 Calvin SmithUSA19839.93 Carl LewisUSA19889.92 Leroy BurrellUSA19919.90 Carl LewisUSA19919.86 Leroy BurrellUSA19949.85 Donovan BaileyCan19969.84 Maurice GreeneUSA19999.79 Tim MontgomeryUSA20029.78 Use your calculator to write the equation of the line Of best fit for this data. Round to the nearest ten thousandth!!!

4 1) Use your equation to predict the world record time in the year 2020. 2) Use your equation to predict the year the world record becomes 8.99 seconds.

5 3) Use your equation to predict the world record time in the year 3500. Is this a reasonable answer? Why or why not? Why do you think the answer worked out to be unreasonable?

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7 Use your calculator to write a linear regression equation for the set of data below. Study Hours Regents Score 380 590 275 680 790 150 265 785 140 7100

8 1) Use your equation to predict Regents score for someone who studies for 4½ hours. 2) Use your equation to predict how many hours a person who scored a 6 studied for.

9 Causal Relationships Correlation measures how much two variables are linearly related. A causal relationship means that change in one variable causes change in another. Ex: Studies have shown there is a causal relationship between watching violence on television and acting violently.

10 Be Careful!!! If two things are correlated, that does not automatically mean they have a causal relationship. Ex: Example #9Example #9

11 Examples Which situation describes a correlation that is not a causal relationship? (1) The rooster crows, and the Sun rises. (2) The more miles driven, the more gasoline needed. (3) The more powerful the microwave, the faster the food cooks. (4) The faster the pace of a runner, the quicker the runner finishes.

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