A set of data is given. a b -30 1 -22 -14 3 -6 4 5 6. (a) Find a linear model for the data.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A set of data is given.
a
b
-30
1
-22
-14
3
-6
4
5
6.
(a) Find a linear model for the data.
Transcribed Image Text:A set of data is given. a b -30 1 -22 -14 3 -6 4 5 6. (a) Find a linear model for the data.
Expert Solution
Step 1

a)

The linear model is represented as

y=mx+c, where x is the independent variable and y is the dependent variable

As per the given question, 

y=b, x=a

b=ma+c

Put a=0, b=-30

-30=0+c

    c=-30

Step 2

Put a=1, b=-22

-22=m-30

  m=8

So, the linear model for data is b=8a-30

b)

When a=4

b=32-30=2

When a=5

b=40-30=10

When a=6

b=48-30=18

 

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