SPENDING ON EQUIPMENT AND SOFTWARE As the United States continues to slowly recover from the Great Recession, spending on equipment and software is projected to rise. The following table gives the percentage change in equipment and software spending, seasonally adjusted, in 2013 ( x = 0 corresponds to the first quarter of 2013 ): Quarter, x 0 1 2 3 Percent Change, y 1.3 3.8 6.0 8.2 a. Plot the percentage change ( y ) versus the quarter ( x ) . b. Draw a straight line L through the points corresponding to the first quarter and the fourth quarter. c. Derive an equation of the line L . d. If the trend continued, estimate the percentage change in spending on equipment and software in the first quarter of 2014 . Source : U.S. Department of Commerce.
SPENDING ON EQUIPMENT AND SOFTWARE As the United States continues to slowly recover from the Great Recession, spending on equipment and software is projected to rise. The following table gives the percentage change in equipment and software spending, seasonally adjusted, in 2013 ( x = 0 corresponds to the first quarter of 2013 ): Quarter, x 0 1 2 3 Percent Change, y 1.3 3.8 6.0 8.2 a. Plot the percentage change ( y ) versus the quarter ( x ) . b. Draw a straight line L through the points corresponding to the first quarter and the fourth quarter. c. Derive an equation of the line L . d. If the trend continued, estimate the percentage change in spending on equipment and software in the first quarter of 2014 . Source : U.S. Department of Commerce.
Solution Summary: The author illustrates how the graph for the percentage change (y) versus the quarter is shown in figure.
SPENDING ON EQUIPMENT AND SOFTWARE As the United States continues to slowly recover from the Great Recession, spending on equipment and software is projected to rise. The following table gives the percentage change in equipment and software spending, seasonally adjusted, in
2013
(
x
=
0
corresponds to the first quarter of
2013
):
Quarter,
x
0
1
2
3
Percent Change,
y
1.3
3.8
6.0
8.2
a. Plot the percentage change
(
y
)
versus the quarter
(
x
)
.
b. Draw a straight line
L
through the points corresponding to the first quarter and the fourth quarter.
c. Derive an equation of the line
L
.
d. If the trend continued, estimate the percentage change in spending on equipment and software in the first quarter of
2014
.
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Time Series Analysis Theory & Uni-variate Forecasting Techniques; Author: Analytics University;https://www.youtube.com/watch?v=_X5q9FYLGxM;License: Standard YouTube License, CC-BY