# Processor Date Transistors 4004 8008 8080 8086 286 386 486D

Electronics - Devices

Nov 2, 2013 (4 years and 6 months ago)

81 views

Gordon Moore, one of the founders of Intel Corporation, predicted in 1965 that the number of transistors on an integrated
circuit would double every 18 months. This is “Moore’s law,” one way to measure the revolution computing. Here are data
on the
dates and number of transistors for Intel microprocessors:

Processor

Date

Transistors

4004

1971

2
250

8008

1972

2
500

8080

1974

5
000

8086

1978

29
000

286

1982

120
000

386

1985

275
000

486D

1989

1180
000

Pentium

1993

3100
000

Pentium II

1997

7500
000

Pentium III

1999

24000
000

Pentium 4

2000

42000
000

1)

Draw a scatterplot of th
is data. The x
-
axis is the date

and the y
-
axis is the number of transistors. Describe the shape
of the scatterplot.

This shape indicates the data is not a linear fit.

1
mark

2)

Use technology to find the least squares regression line of the data. Record the equation and the correlation.

1 mark

3)

Draw a scatterplot of the years (x axis) versus the residuals (y axis). Describe the shape of the scatterplot. This shape
indicates the data is not a linear fit
, but has a pattern.

1 mark

4
)

In a chart record the x values (years) and the natural log
(ln)
of the y
values (transistors)
.

Draw a scatter plot of the
years (x
-
axis) versus the natural ln of y values (y axis). This
shape indicates the data is now a linear fit.

1 mark

5
)

Use technology to find the least squares regression line. That is ln (y)=….

1 mark

6
)

Rewrite your equation from 6) as a y= e^(…. equation.

1 mark

7
)

Use the equation from 7) to predict the number o
f transistors in 2005 and 2010. Use google to comment on your