You are a personnel director and are interested in predicting the Number of Shares of Company Stock (Y) using the Number of Years Employed with the Company (X). You randomly selected 8 employees and obtain the following summary data: What is the Total Sums-of-Squares (SST)? (to the nearest whole number) EmplNum NumberShares (Y) YearsEmployed XY x² y2 (X) 1 450 6 2700 36 202500 2 415 7 2905 49 172225 3 550 8 4400 64 302500 4 520 9 4680 81 270400 5 375 10 3750 100 140625 9 640 13 8320 169 409600 7 535 14 7490 196 286225 8 615 17 10455 289 378225 SUM 4100 84 44700 984 2162300
You are a personnel director and are interested in predicting the Number of Shares of Company Stock (Y) using the Number of Years Employed with the Company (X). You randomly selected 8 employees and obtain the following summary data: What is the Total Sums-of-Squares (SST)? (to the nearest whole number) EmplNum NumberShares (Y) YearsEmployed XY x² y2 (X) 1 450 6 2700 36 202500 2 415 7 2905 49 172225 3 550 8 4400 64 302500 4 520 9 4680 81 270400 5 375 10 3750 100 140625 9 640 13 8320 169 409600 7 535 14 7490 196 286225 8 615 17 10455 289 378225 SUM 4100 84 44700 984 2162300
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Transcribed Image Text:You are a personnel director and are interested in predicting the Number of Shares of
Company Stock (Y) using the Number of Years Employed with the Company (X). You
randomly selected 8 employees and obtain the following summary data: What is the Total
Sums-of-Squares (SST)? (to the nearest whole number)
EmplNum NumberShares (Y) YearsEmployed
XY
x²
y2
(X)
1
450
6
2700
36
202500
2
415
7
2905
49
172225
3
550
8
4400
64
302500
4
520
9
4680
81
270400
5
375
10
3750
100
140625
9
640
13
8320
169
409600
7
535
14
7490
196
286225
8
615
17
10455
289
378225
SUM
4100
84
44700
984
2162300
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