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Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

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Chapter
Section
BuyFindarrow_forward

Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

World Military Expenditure The following table shows total military and arms trade expenditure in 1994, 1998, and 2006. (See Exercise 25; t = 4 represents 1994.)10

Year t 4 8 16
Military Expenditure ($ billion) 1,150 1,050 1,450

Find a quadratic model for these data, and use your model to estimate world military expenditure in 2008. Compare your answer with the actual figure shown in Exercise 25. [HINT: See Example 5.]

To determine

To calculate: The quadratic model for the given data and use model to estimate world military expenditure in 2008 and then compare it with actual figure $1,600 billion. Data table is given as

Year t4816Military Expenditure($billion)1,1501,0501,450

Explanation

Given Information:

The given data points are in tabular form is given as:

Year t4816Military Expenditure($billion)1,1501,0501,450

The actual estimate world military expenditure in 2008 is $1,600 billion.

Calculation:

Follow the steps given below to find the quadratic model for the data and use x as independent variable and y as dependent variable.

Let the quadratic model is y=ax2+bx+c and coefficients are calculated using technology.

Step 1: Press ON button in TI83 calculator.

Step 2: Press STAT button and then press 1.

Step 3: Now, enter the values of x in L1 column.

Step 4: With the help of arrow keys, enter the values of y in L2 column.

Step 5: Now, press STAT button and then go to CALC and then enter 5 and after that press enter button to get the quadratic regression model

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