let’s predict how many grams of fat a sandwich with 650 calories would have. lets predict how many...

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.

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   Date Time

Donald Lippincott USA 1912 10.6

Charles Paddock USA 1921 10.4

Percy Williams Can 1930 10.3

Jesse Owens USA 1936 10.2

Willie Williams USA 1956 10.1

Armin Hary Germ 1960 10.0

Jim Hines USA 1968 9.95

Calvin Smith USA 1983 9.93

Carl Lewis USA 1988 9.92

Leroy Burrell USA 1991 9.90

Carl Lewis USA 1991 9.86

Leroy Burrell USA 1994 9.85

Donovan Bailey Can 1996 9.84

Maurice Greene USA 1999 9.79

Tim Montgomery USA 2002 9.78

Use your calculator to writethe equation of the line Of best fit for this data. Round to the nearest ten thousandth!!!

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.

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?

Use your calculator to write a linear regression equation for the

set of data below.

Study Hours Regents Score

3 80

5 90

2 75

6 80

7 90

1 50

2 65

7 85

1 40

7 100

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.

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.

Be Careful!!!

If two things are correlated, that does not automatically mean they have a causal relationship.

Ex: Example #9

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.