ELEM PRIN CHEM PROCESS ETXT + WILEYPLUS
ELEM PRIN CHEM PROCESS ETXT + WILEYPLUS
4th Edition
ISBN: 9781119807988
Author: FELDER
Publisher: WILEY
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Chapter 2, Problem 2.48P
Interpretation Introduction

(a)

Interpretation:

Fit a line to given data using the method of least squares.

Concept introduction:

The method of least square for a y = ax + b line is given as, here, a and b can be calculated as,

Sxy=1ni=1nXiYiSxx=1ni=1nXi2Sx=1ni=1nXi

hence,a=SxySxSySxx(Sx)2b=SxxSySxSxySxx(Sx)2

Interpretation Introduction

(b)

Interpretation:

Fit a line through the origin using the same data set.

Concept introduction:

The method of least square for a y = ax + b line is given as, here, a and b can be calculated as,

Sxy=1ni=1nXiYiSxx=1ni=1nXi2Sx=1ni=1nXi

hence,a=SxySxSySxx(Sx)2b=SxxSySxSxySxx(Sx)2

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