Sunday, April 11, 2010

Chris and Sherry Regressions

Chris Marchitelli and Sherry Pohar

Blink


Date

Transistor Count

1971

2300

1972

3500

1974

4500

1979

29000

1982

134000

1985

275000

1989

1180000

1993

3100000

1996

4300000

1997

7500000

1997

8800000

1999

9500000

1999

21300000

1999

2200000

2000

42000000

2008

47000000

2003

54300000

2003

105900000

2003

220000000

2006

241000000

2006

291000000

2007

463000000

2004

592000000

2008

731000000

2007

789000000

2009

904000000

2006

1700000000

2008

1900000000

2010

2000000000

2010

2300000000













Y=(3.8970)1.413^x

In the table, X represents the date and Y represents the transistor count. In the equation, both A and B together are the slope.

In 2029, the quad-core Itanium will be released with 2 billion transistors. We found our answer by solving the equation as a log and adding 58 to our starting year, 1971.

In 2036, the 8-core xeon, with 2.3 billion transistors, will be released. We found this answer by solving the equation as a log and adding 65 to our starting year, 1971.

This equation does not support Moore’s law initially because the number of transistors does not double every two years. However, the graph eventually shows Moore’s law after a set period of time.

Will The Ball Hit The Can?

Picture 1: Quad. Regression

Y= -.0067x^2+-.0449x+26.5714

Picture 2: Cubic Regression

Y= -2.3435x^3+-.0090x^2+.0100x+36.7063

Picture: 3 Quartic Regression

Y= -6.9578^4+-5.30804x^3+-.01907x^2+.0144x+75.3053

The X in the equation is the distance the tennis ball traveled and the Y is the height of the ball. A represents how wide or narrow the graph is, based lying in Quadrant II, B moves the graph left to right and C is where the graph crosses the y axis. Coordinates of the can were 58.3 for the x and 0 for the y.

None of the tennis balls will hit the trash can because none were thrown from ground level, which will skew the throw to be higher than required to hit the trash can, located roughly at 60.

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