The following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995. 20 10- :00 90 80 70 60 50 Let S be the retails sales in billions of dollars in t years since 1995. A linear model, Model A, for the data is S 9.33t+85.47. 40 30 20 [10 Year Retail Sales 86.851 109.426 00 90 80+ 0 3 6 9 12 15 SE = 142.281 170.256 202.797 221.266 3 Year 0 3 6 9 6 a) Use the above scatter plot to decide whether the linear model A fits the data well. O The function is not a good model for the data O The function is a good model for the data. 12 15 9 b) According to the model, the retails sales in the U.S. in 2013 will be approximately billions of dollars. (Round to nearest billion.) c) Use the model to predict the year in which retails sales will be $241 billion. 12 d) The model values are computed in the table below. Retail Sales Model Squared Errors 86.851 85.47 109.426 113.46 142.281 141.45 170.256 169.44 202.797 197.43 221.266 225.42 1.9072 16.2732 0.6906 0.6659 28.8047 Find the squared error for the last data point in the table. Round to 4 decimal places. e) Find the sum of squared errors (SSE) for this model. SSE = decimal places.) (Round to 4 f) Another model, Model B, is proposed. If the SSE of Model B is 67.0973, which is a better model? O Model B is better because the SSE is larger. O Model B is better because the SSE is smaller. Model A is better because the SSE is smaller. O Model A is better because the SSE is larger.
The following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995. 20 10- :00 90 80 70 60 50 Let S be the retails sales in billions of dollars in t years since 1995. A linear model, Model A, for the data is S 9.33t+85.47. 40 30 20 [10 Year Retail Sales 86.851 109.426 00 90 80+ 0 3 6 9 12 15 SE = 142.281 170.256 202.797 221.266 3 Year 0 3 6 9 6 a) Use the above scatter plot to decide whether the linear model A fits the data well. O The function is not a good model for the data O The function is a good model for the data. 12 15 9 b) According to the model, the retails sales in the U.S. in 2013 will be approximately billions of dollars. (Round to nearest billion.) c) Use the model to predict the year in which retails sales will be $241 billion. 12 d) The model values are computed in the table below. Retail Sales Model Squared Errors 86.851 85.47 109.426 113.46 142.281 141.45 170.256 169.44 202.797 197.43 221.266 225.42 1.9072 16.2732 0.6906 0.6659 28.8047 Find the squared error for the last data point in the table. Round to 4 decimal places. e) Find the sum of squared errors (SSE) for this model. SSE = decimal places.) (Round to 4 f) Another model, Model B, is proposed. If the SSE of Model B is 67.0973, which is a better model? O Model B is better because the SSE is larger. O Model B is better because the SSE is smaller. Model A is better because the SSE is smaller. O Model A is better because the SSE is larger.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:The following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995.
20
10-
:00
90
80
70
60
50
Let S be the retails sales in billions of dollars in t years since 1995. A linear model, Model A, for the data is
S 9.33t+85.47.
40
30
20
[10
Year Retail Sales
86.851
109.426
00
90
80+
0
3
6
9
12
15
SE =
142.281
170.256
202.797
221.266
3
Year
0
3
6
9
6
a) Use the above scatter plot to decide whether the linear model A fits the data well.
O The function is not a good model for the data
O The function is a good model for the data.
12
15
9
b) According to the model, the retails sales in the U.S. in 2013 will be approximately
billions of dollars. (Round to nearest billion.)
c) Use the model to predict the year in which retails sales will be $241 billion.
12
d) The model values are computed in the table below.
Retail Sales Model Squared Errors
86.851 85.47
109.426 113.46
142.281 141.45
170.256 169.44
202.797 197.43
221.266 225.42
1.9072
16.2732
0.6906
0.6659
28.8047
Find the squared error for the last data point in the table. Round to 4 decimal places.
e) Find the sum of squared errors (SSE) for this model. SSE =
decimal places.)
(Round to 4
f) Another model, Model B, is proposed. If the SSE of Model B is 67.0973, which is a better model?
O Model B is better because the SSE is larger.
O Model B is better because the SSE is smaller.
Model A is better because the SSE is smaller.
O Model A is better because the SSE is larger.
Expert Solution
Step 1:-introduction
In the given problem linear regression line is given. We have to find the prediction value at the given regressor variation and find the error at a regressor variable and then find the sum of the all error.
And then compair two model which one is better. If the error is less then the model is better than the other.
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
