The management of a manufacturer of electric motors, submitted the accompanying data in its annual stockholders report. The following table shows the net sales (in millions of dollars) during the 5 years that have elapsed since the new management team took over. Year, x 1 2 3 4 5 Net Sales, y 428 442 455 463 474 (The first year the firm operated under the new management corresponds to the time period x = 1, and the four subsequent years correspond to x = 2, 3, 4, and 5.) (a) Determine the equation of the least-squares line for these data. y = 11.3x + 418.5 V (b) Draw a scatter diagram and the least-squares line for these data. y y 500 500h 480 480 460 460 440 440 420 420 1. 3 4 6 1 2 5 y y 500- 500- 480 480 460 460 440 440 420 420 1 3 4 6. 1. 3 4 5 6 (c) Use the result obtained in part (a) to predict the net sales for the upcoming year.

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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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Hi there,

I just need help with part C of this question.

The management of a manufacturer of electric motors, submitted the accompanying data in its annual stockholders report. The following table shows the net sales (in millions of dollars) during the 5
years that have elapsed since the new management team took over.
Year, x
1
2
3
4
5
Net Sales, y
428
442
455
463
474
(The first year the firm operated under the new management corresponds to the time period x = 1, and the four subsequent years correspond to x = 2, 3, 4, and 5.)
(a) Determine the equation of the least-squares line for these data.
y = 11.3x + 418.5
(b) Draw a scatter diagram and the least-squares line for these data.
y
y
500-
500-
480
480
460-
460
440
440
420
420
2
3
4.
6
3
4
5
y
y
500|
500-
480
480
460
460
440
440
420
420
X
1
3
6
1
2
3
4
(c) Use the result obtained in part (a) to predict the net sales for the upcoming year.
Transcribed Image Text:The management of a manufacturer of electric motors, submitted the accompanying data in its annual stockholders report. The following table shows the net sales (in millions of dollars) during the 5 years that have elapsed since the new management team took over. Year, x 1 2 3 4 5 Net Sales, y 428 442 455 463 474 (The first year the firm operated under the new management corresponds to the time period x = 1, and the four subsequent years correspond to x = 2, 3, 4, and 5.) (a) Determine the equation of the least-squares line for these data. y = 11.3x + 418.5 (b) Draw a scatter diagram and the least-squares line for these data. y y 500- 500- 480 480 460- 460 440 440 420 420 2 3 4. 6 3 4 5 y y 500| 500- 480 480 460 460 440 440 420 420 X 1 3 6 1 2 3 4 (c) Use the result obtained in part (a) to predict the net sales for the upcoming year.
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