Using the following data, find the means of x and y, the sample standard deviations of x and y, and the y-intercept and the slope of the linear regression forecast line. Then, use summation

statistics to find Σ xy.

 

x-data

 

2

4

6

 

 

 

 

 

 

 

 

 

y-data

 

50

90

160

 

 

 

 

 

 

 

 

Table 1-31 Statistics example

 

 

 

 

 

 

 

 

Keys

 

Display

Description

 

 

 

 

 

\t

 

0.00

Clears statistics registers.

 

 

 

 

 

 

 

 

 

GÆV:¡

 

1.00

Enters first x,y pair.

 

 

 

 

 

 

 

 

 

YÆd:¡

 

2.00

Enters second x,y pair.

 

 

 

 

 

 

 

 

 

SÆJS:¡

 

3.00

Enters third x,y pair.

 

 

 

 

 

 

 

 

 

 

1 2.00

Reviews entered statistical

 

 

 

 

 

 

 

 

 

data, starting with the initial

 

 

 

 

 

x-value. Press 1to scroll

 

 

 

 

 

through and verify the

 

 

 

 

 

entered statistical data.

 

 

 

 

 

Press Mto exit.

 

 

 

 

 

\k

 

4.00

Displays mean of x.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

100.00

Displays mean of y.

 

 

 

 

 

 

 

 

 

\h

 

2.00

Displays sample standard

 

 

 

 

 

 

 

 

 

deviation of x.

 

 

 

 

 

 

 

 

 

 

55.68

Displays sample standard

 

 

 

 

 

 

 

 

 

deviation of y.

 

 

 

 

 

\T\«

 

-10.00

Displays y-intercept of

 

 

 

 

 

 

 

 

 

regression line.

 

 

 

 

 

\W\«

 

27.50

Displays slope of regression

 

 

 

 

 

 

line.

 

 

 

]f

1,420.00

Displays Σ xy, sum of the

 

 

products of x- and y-values.

 

 

 

 

 

For more information on statistical calculations, refer to chapter 12, Statistical Calculations.

18 At a Glance...