Answered: Given the bivariate data: X12356 65431… | bartleby

Linear Algebra: A Modern Introduction

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 29EQ

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Question

Given the bivariate data:
12356
65431
(a) Draw a scatter diagram for the data.
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• ²
(b) Find n, x, y, x², (Ex)², and Exy.
n
-
Ex
Xy
(2x)²
-
-
-
4
-10
18
A
-10
*
(c) Find a, the slope of the least-squares line, and b, the y-intercept of the least-squares line. (Round your answers to two decimal places.)
(d) Draw the least-squares line on the scatter diagram from part (a).
WebAssign Graphing Tool
10-
Graph Layers
After you add an object to the graph you
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Maple Generated Piot
-10
-10
10

O
-10-
-10-
(e) Is the point (x, y) on the least-squares line?
Ⓒ Yes
O No
X
10
-10
(9) Find, to the nearest hundredth, the linear correlation coefficient.
10-
-10-
(f) Use the equation of the least-squares line to predict the value of y when x 2.9. (Round your answer to two decimal places.)
10
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