determine which set come from the least squares regression model a

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 7E
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You spilled water on your calculations from (a) and can't remember what your estimated regression parameters are. But you do have two possible estimated errors for each of your initial four observations:

Individual i
1
2
3
4
Estimated errors set 1
0.5
-1.0
0.5
Estimated errors set 2 | 0.25
-0.5 0.75
1.5
One of these sets of estimated errors corresponds to those calculated from the least squares regression line. Using
only the residual sum of squares, determine which set come from the least squares regression model and justify
your choice with a one sentence explanation.
Transcribed Image Text:Individual i 1 2 3 4 Estimated errors set 1 0.5 -1.0 0.5 Estimated errors set 2 | 0.25 -0.5 0.75 1.5 One of these sets of estimated errors corresponds to those calculated from the least squares regression line. Using only the residual sum of squares, determine which set come from the least squares regression model and justify your choice with a one sentence explanation.
Suppose that we have collected the following predictor values and response values from four individuals from the
same population:
Individual i
1 2 3
4
Response
5 3 2
4
Predictor
6 1
2 3
We want to use these four observations to find the estimated simple linear relationship of the form
Yi = Bo + B1x; + e;.
Transcribed Image Text:Suppose that we have collected the following predictor values and response values from four individuals from the same population: Individual i 1 2 3 4 Response 5 3 2 4 Predictor 6 1 2 3 We want to use these four observations to find the estimated simple linear relationship of the form Yi = Bo + B1x; + e;.
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