
Concept explainers
a.
To find the regression equation of the given data without the predicted value.
a.

Answer to Problem 61SR
Explanation of Solution
Given:
Following data is given along with a predicted value of 2014
To find an appropriate regression equation of the data, it is first necessary to find out the type of growth.
For this, the difference between adjacent years is calculated in table below.
The difference between any 2 years is almost constant as compared to the expenditure where it slightly increases for most part and decrease only for year 2002-2003, however the overall movement of the curve will be similar to a linear model.
Thus the regression equation of the given data using a linear model will be
Thus the average slope or increase in expenditure each year will be 116.25 billion dollars.
b.
The expenditure in the year 2014 using the equation from the linear model.
b.

Answer to Problem 61SR
2950.5 billion dollars
Explanation of Solution
Given:
The equation found out from the linear model is
Formula used:
Calculation:
To find the value of expenditure in the year 2014, simply substitute
Conclusion:
Thus the predicted expenditure in the year 2014 will be 2950.5 billion dollars.
c.
To compare the prediction of part (b) to the one given in graph.
c.

Answer to Problem 61SR
A variation is observed
Explanation of Solution
Given:
The predicted expenditure in the year 2014 is 2950.5 billion dollars whereas as given in the graph it is 3585.7 billion dollars.
The reason for variation could be that the graph isn’t following clearly a linear model or a quadratic model but a curve in between.
The variation 635.2 billion dollars which is a comparatively small amount with respect to the total expenditure.
Conclusion:
A variation is observed in the predicted value using a regression equation and the predicted value given in graph. It could be due to uneven movement of the curve.
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
Additional Math Textbook Solutions
Pre-Algebra Student Edition
A First Course in Probability (10th Edition)
Algebra and Trigonometry (6th Edition)
College Algebra with Modeling & Visualization (5th Edition)
Introductory Statistics
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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