Consider the following data: 1 1.6 2.9 3. 4.1 4.4 5.8 6.5 7.1 7.2 7.5 y 3. 3.3 4 4.1 4.8 5.4 5.6 5.9 5.2 4.9 4.7 4.3 a) Create a scatterplot, print, and attach to the worksheet. b) Clearly, this data is not linear. Guess how this scatter plot suggests that the data should be transformed. 75

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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please dont use excel to sovle this problem
Consider the following data:
X
1
1.6
2
2.9
4.1
4.4
5.8
6.5
7
7.1
7.2
7.5
3.3
4
4.1
4.8
5.4
5.6
5.9
6.
5.2
4.9
4.7
4.3
a)
Create a scatterplot, print, and attach to the worksheet.
b)
Clearly, this data is not linear. Guess how this scatter plot suggests that the data should be
transformed.
c)
Transform the data - what is the best r-squared you can get? Keep a record of your attempts here.
d)
Determine the model for this data.
e)
Use the model to predict the y-value for x-3.6.
Transcribed Image Text:Consider the following data: X 1 1.6 2 2.9 4.1 4.4 5.8 6.5 7 7.1 7.2 7.5 3.3 4 4.1 4.8 5.4 5.6 5.9 6. 5.2 4.9 4.7 4.3 a) Create a scatterplot, print, and attach to the worksheet. b) Clearly, this data is not linear. Guess how this scatter plot suggests that the data should be transformed. c) Transform the data - what is the best r-squared you can get? Keep a record of your attempts here. d) Determine the model for this data. e) Use the model to predict the y-value for x-3.6.
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