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...

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Image 26
HP 10bII+ Financial manual Gæv¡, YÆd¡, Sæjs¡, T\«, W\«

10bII+ Financial specifications

The HP 10bII+ Financial Calculator is a versatile and powerful tool designed to meet the needs of finance students, professionals, and anyone involved in financial planning and analysis. Known for its compactness and user-friendly interface, this calculator incorporates a range of features specifically tailored for financial calculations, making it an essential gadget for banking, real estate, and investment analysis.

At the heart of the HP 10bII+ is its ability to perform a wide variety of financial functions, including time value of money calculations, cash flow analysis, bond pricing, and depreciation. Its built-in functions facilitate the computation of interest rates, present and future values, net present value (NPV), internal rate of return (IRR), and annuities. This array of functionalities allows users to tackle complex financial problems with ease.

One of the standout technologies in the HP 10bII+ is its RPN (Reverse Polish Notation) input system, which allows for efficient data entry and calculation. Users can perform consecutive calculations without the need for parentheses, streamlining the process significantly. Alternatively, the calculator can also function with a standard algebraic input, catering to different user preferences.

The design of the HP 10bII+ is sleek and compact, making it highly portable and easy to handle. With a large, easy-to-read display, it ensures that users can view their calculations clearly, even in low-light environments. The keys are well-spaced and tactile, allowing for a comfortable typing experience during intensive calculations.

The calculator also offers a range of memory functions, enabling users to store and recall important values easily. This is particularly useful for financial professionals who must deal with multiple calculations and refer back to previous results frequently.

Additionally, the HP 10bII+ is powered by two AAA batteries, providing a long battery life that ensures reliability during extended use. It also features an automatic shut-off function, which conserves battery life when the calculator is not in use.

In summary, the HP 10bII+ Financial Calculator is a high-performance device that combines essential financial functions with user-friendly design and robust technology. Whether for educational purposes or professional finance work, its capabilities make it an invaluable asset for anyone dealing with financial calculations and decision-making.