(a) Explanation Given data: Table of year v/s Average salary Graph: Graph for the given table: Year Average Salary, S (in thousands of dollars) 2012 55.5 2013 56.2 2014 56.8 2015 57.6 2016 58.4 2017 59.0 Interpretation: Average salary constantly increases with year. (b) To determine To find: Linear regression of model Answer Linear regression of model is y = 0.7 x + 47.1 Explanation Given data: Table of year v/s Average salary. Formula used: Slope intercept form: y = m x + C m = y 2 − y 1 x 2 − x 1 Calculation: Linear regression of the model: y = m x + C m = y 2 − y 1 x 2 − x 1 m = 59 − 55.5 2017 − 2012 m = 3.5 5 m = 0.7 For value of C put (2012, 55.5) in the equation y = 0.7 x + C 55.5 = 0.7 ( 12 ) + C 55.5 − 8.4 = C C = 47.1 Linear regression of model is y = 0.7 x + 47.1 Conclusion: Linear regression of model is y = 0.7 x + 47.1 (c) To determine Linear model is a good fit or not. Answer Yes it is a good fit. Explanation Given data: Table of year v/s Average salary. Formula used: Slope intercept form: y = m x + C m = y 2 − y 1 x 2 − x 1 Calculation: Yes this is a good fit because line of fit is have value nearly to original values. Conclusion: Yes it is a good fit. (d) To determine Average salary for 2021 and 2026. Answer Average salary for 2021 will be 63.6 thousands $ and for 2026 will be 68.1 thousand $. Explanation Given data: Table of year v/s Average salary. Formula used: Slope intercept form: y = m x + C m = y 2 − y 1 x 2 − x 1 Calculation: Average salary for 2021 will be: y = 0.7 x + 47.1 y = 0.7 ( 21 ) + 47.1 y = 61.8 thousand$ Average salary for 2026 will be: y = 0.7 x + 47.1 y = 0.7 ( 26 ) + 47.1 y = 65.3 thousand$ It is a reasonable answer because as the graph is increasing with year. Conclusion: Average salary for 2021 will be 61.8 thousands $ and for 2026 will be 65.3 thousand $.

8th Edition

ISBN: 9781337904285

Author: Larson

Publisher: CENGAGE L

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Question

Chapter 1.7, Problem 22E

(a)

To determine

To graph: the data given in the table.

(a)

Expert Solution

Explanation of Solution

Given data:

Table of year v/s Average salary

Graph:

Graph for the given table:

Year	Average Salary, S (in thousands of dollars)
2012	55.5
2013	56.2
2014	56.8
2015	57.6
2016	58.4
2017	59.0

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS), Chapter 1.7, Problem 22E , additional homework tip 1

Interpretation:

Average salary constantly increases with year.

(b)

To determine

To find: Linear regression of model

(b)

Expert Solution

Answer to Problem 22E

Linear regression of model is y=0.7x+47.1

Explanation of Solution

Given data:

Table of year v/s Average salary.

Formula used:

Slope intercept form:

y=mx+Cm=y2−y1x2−x1

Calculation:

Linear regression of the model:

y=mx+Cm=y2−y1x2−x1m=59−55.52017−2012m=3.55m=0.7

For value of C put (2012, 55.5) in the equation

y=0.7x+C55.5=0.7(12)+C55.5−8.4=CC=47.1

Linear regression of model is y=0.7x+47.1

Conclusion:

Linear regression of model is y=0.7x+47.1

(c)

To determine

Linear model is a good fit or not.

(c)

Expert Solution

Answer to Problem 22E

Yes it is a good fit.

Explanation of Solution

Given data:

Table of year v/s Average salary.

Formula used:

Slope intercept form:

y=mx+Cm=y2−y1x2−x1

Calculation:

Yes this is a good fit because line of fit is have value nearly to original values.

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS), Chapter 1.7, Problem 22E , additional homework tip 2

Conclusion:

Yes it is a good fit.

(d)

To determine

Average salary for 2021 and 2026.

(d)

Expert Solution

Answer to Problem 22E

Average salary for 2021 will be 63.6 thousands $ and for 2026 will be 68.1 thousand $.

Explanation of Solution

Given data:

Table of year v/s Average salary.

Formula used:

Slope intercept form:

y=mx+Cm=y2−y1x2−x1

Calculation:

Average salary for 2021 will be:

y=0.7x+47.1y=0.7(21)+47.1y=61.8thousand$

Average salary for 2026 will be:

y=0.7x+47.1y=0.7(26)+47.1y=65.3 thousand$

It is a reasonable answer because as the graph is increasing with year.

Conclusion:

Average salary for 2021 will be 61.8 thousands $ and for 2026 will be 65.3 thousand $.

Chapter 1.7, Problem 21E

Chapter 1.7, Problem 23E

Chapter 1 Solutions

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

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Prob. 79E Ch. 1.6 - Prob. 80E Ch. 1.6 - Prob. 81E Ch. 1.6 - Prob. 82E Ch. 1.6 - Prob. 83E Ch. 1.6 - Prob. 84E Ch. 1.6 - Prob. 85E Ch. 1.6 - Prob. 86E Ch. 1.6 - Prob. 87E Ch. 1.6 - Prob. 88E Ch. 1.6 - Prob. 89E Ch. 1.6 - Prob. 90E Ch. 1.6 - Prob. 91E Ch. 1.6 - Prob. 92E Ch. 1.6 - Prob. 93E Ch. 1.6 - Prob. 94E Ch. 1.6 - Prob. 95E Ch. 1.6 - Prob. 96E Ch. 1.6 - Prob. 97E Ch. 1.6 - Prob. 98E Ch. 1.6 - Prob. 99E Ch. 1.6 - Prob. 100E Ch. 1.6 - Prob. 101E Ch. 1.6 - Prob. 102E Ch. 1.6 - Prob. 103E Ch. 1.6 - Prob. 104E Ch. 1.6 - Prob. 105E Ch. 1.6 - Prob. 106E Ch. 1.6 - Prob. 107E Ch. 1.6 - Prob. 108E Ch. 1.6 - Prob. 109E Ch. 1.6 - Prob. 110E Ch. 1.6 - Prob. 111E Ch. 1.6 - Prob. 112E Ch. 1.6 - Prob. 113E Ch. 1.6 - Prob. 114E Ch. 1.6 - Prob. 115E Ch. 1.6 - Prob. 116E Ch. 1.6 - Prob. 117E Ch. 1.6 - Prob. 118E Ch. 1.6 - Prob. 119E Ch. 1.6 - Prob. 120E Ch. 1.6 - Prob. 121E Ch. 1.6 - Prob. 122E Ch. 1.6 - Prob. 123E Ch. 1.6 - Prob. 124E Ch. 1.6 - Prob. 125E Ch. 1.6 - Prob. 126E Ch. 1.6 - Prob. 127E Ch. 1.6 - Prob. 128E Ch. 1.6 - Prob. 129E Ch. 1.6 - Prob. 130E Ch. 1.6 - Prob. 131E Ch. 1.6 - Prob. 132E Ch. 1.6 - Prob. 133E Ch. 1.6 - Prob. 134E Ch. 1.6 - Prob. 135E Ch. 1.6 - Prob. 136E Ch. 1.6 - Prob. 137E Ch. 1.6 - Prob. 138E Ch. 1.6 - Prob. 139E Ch. 1.6 - Prob. 140E Ch. 1.6 - Prob. 141E Ch. 1.6 - Prob. 142E Ch. 1.6 - Prob. 143E Ch. 1.6 - Prob. 144E Ch. 1.7 - Prob. 1E Ch. 1.7 - Prob. 2E Ch. 1.7 - Prob. 3E Ch. 1.7 - Prob. 4E Ch. 1.7 - Prob. 5E Ch. 1.7 - Prob. 6E Ch. 1.7 - Prob. 7E Ch. 1.7 - Prob. 8E Ch. 1.7 - Prob. 9E Ch. 1.7 - Prob. 10E Ch. 1.7 - Prob. 11E Ch. 1.7 - Prob. 12E Ch. 1.7 - Prob. 13E Ch. 1.7 - Prob. 14E Ch. 1.7 - Prob. 15E Ch. 1.7 - Prob. 16E Ch. 1.7 - Prob. 17E Ch. 1.7 - Prob. 18E Ch. 1.7 - Prob. 19E Ch. 1.7 - Prob. 20E Ch. 1.7 - Prob. 21E Ch. 1.7 - Prob. 22E Ch. 1.7 - Prob. 23E Ch. 1.7 - Prob. 24E Ch. 1.7 - Prob. 25E Ch. 1.7 - Prob. 26E Ch. 1.7 - Prob. 27E Ch. 1.7 - Prob. 28E Ch. 1.7 - Prob. 29E Ch. 1.7 - Prob. 30E Ch. 1.7 - Prob. 31E Ch. 1.7 - Prob. 32E Ch. 1.7 - Prob. 33E Ch. 1.7 - Prob. 34E Ch. 1 - Prob. 1CR Ch. 1 - Prob. 2CR Ch. 1 - Prob. 3CR Ch. 1 - Prob. 4CR Ch. 1 - Prob. 5CR Ch. 1 - Prob. 6CR Ch. 1 - Prob. 7CR Ch. 1 - Prob. 8CR Ch. 1 - Prob. 9CR Ch. 1 - Prob. 10CR Ch. 1 - Prob. 11CR Ch. 1 - Prob. 12CR Ch. 1 - Prob. 13CR Ch. 1 - Prob. 14CR Ch. 1 - Prob. 15CR Ch. 1 - Prob. 16CR Ch. 1 - Prob. 17CR Ch. 1 - Prob. 18CR Ch. 1 - Prob. 19CR Ch. 1 - Prob. 20CR Ch. 1 - Prob. 21CR Ch. 1 - Prob. 22CR Ch. 1 - Prob. 23CR Ch. 1 - Prob. 24CR Ch. 1 - Prob. 25CR Ch. 1 - Prob. 26CR Ch. 1 - Prob. 27CR Ch. 1 - Prob. 28CR Ch. 1 - Prob. 29CR Ch. 1 - Prob. 30CR Ch. 1 - Prob. 31CR Ch. 1 - Prob. 32CR Ch. 1 - Prob. 33CR Ch. 1 - Prob. 34CR Ch. 1 - Prob. 35CR Ch. 1 - Prob. 36CR Ch. 1 - Prob. 37CR Ch. 1 - Prob. 38CR Ch. 1 - Prob. 39CR Ch. 1 - Prob. 40CR Ch. 1 - Prob. 41CR Ch. 1 - Prob. 42CR Ch. 1 - Prob. 43CR Ch. 1 - Prob. 44CR Ch. 1 - Prob. 45CR Ch. 1 - Prob. 46CR Ch. 1 - Prob. 47CR Ch. 1 - Prob. 48CR Ch. 1 - Prob. 49CR Ch. 1 - Prob. 50CR Ch. 1 - Prob. 51CR Ch. 1 - Prob. 52CR Ch. 1 - Prob. 53CR Ch. 1 - Prob. 54CR Ch. 1 - Prob. 55CR Ch. 1 - Prob. 56CR Ch. 1 - Prob. 57CR Ch. 1 - Prob. 58CR Ch. 1 - Prob. 59CR Ch. 1 - Prob. 60CR Ch. 1 - Prob. 61CR Ch. 1 - Prob. 62CR Ch. 1 - Prob. 63CR Ch. 1 - Prob. 64CR Ch. 1 - Prob. 65CR Ch. 1 - Prob. 66CR Ch. 1 - Prob. 67CR Ch. 1 - Prob. 68CR Ch. 1 - Prob. 69CR Ch. 1 - Prob. 70CR Ch. 1 - Prob. 71CR Ch. 1 - Prob. 72CR Ch. 1 - Prob. 73CR Ch. 1 - Prob. 74CR Ch. 1 - Prob. 75CR Ch. 1 - Prob. 76CR Ch. 1 - Prob. 77CR Ch. 1 - Prob. 78CR Ch. 1 - Prob. 79CR Ch. 1 - Prob. 80CR Ch. 1 - Prob. 81CR Ch. 1 - Prob. 82CR Ch. 1 - Prob. 83CR Ch. 1 - Prob. 84CR Ch. 1 - Prob. 85CR Ch. 1 - Prob. 86CR Ch. 1 - Prob. 87CR Ch. 1 - Prob. 88CR Ch. 1 - Prob. 89CR Ch. 1 - Prob. 90CR Ch. 1 - Prob. 91CR Ch. 1 - Prob. 92CR Ch. 1 - Prob. 93CR Ch. 1 - Prob. 94CR Ch. 1 - Prob. 95CR Ch. 1 - Prob. 96CR Ch. 1 - Prob. 97CR Ch. 1 - Prob. 98CR Ch. 1 - Prob. 99CR Ch. 1 - Prob. 100CR Ch. 1 - Prob. 101CR Ch. 1 - Prob. 102CR Ch. 1 - Prob. 103CR Ch. 1 - Prob. 104CR Ch. 1 - Prob. 105CR Ch. 1 - Prob. 106CR Ch. 1 - Prob. 107CR Ch. 1 - Prob. 108CR Ch. 1 - Prob. 109CR Ch. 1 - Prob. 110CR Ch. 1 - Prob. 1CT Ch. 1 - Prob. 2CT Ch. 1 - Prob. 3CT Ch. 1 - Prob. 4CT Ch. 1 - Prob. 5CT Ch. 1 - Prob. 6CT Ch. 1 - Prob. 7CT Ch. 1 - Prob. 8CT Ch. 1 - Prob. 9CT Ch. 1 - Prob. 10CT Ch. 1 - Prob. 11CT Ch. 1 - Prob. 12CT Ch. 1 - Prob. 13CT Ch. 1 - Prob. 14CT Ch. 1 - Prob. 15CT Ch. 1 - Prob. 16CT Ch. 1 - Prob. 17CT Ch. 1 - Prob. 18CT Ch. 1 - Prob. 19CT Ch. 1 - Prob. 20CT

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