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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 7.7, Problem 1CP
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

Solutions

Chapter
Section
Problem 1CP
Problem 2CP
Problem 3CP
Problem 1SWU
Problem 2SWU
Problem 3SWU
Problem 4SWU
Problem 5SWU
Problem 6SWU
Problem 7SWU
Problem 8SWU
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
3 views

Find the sum of the squared errors for the linear model

f ( x ) = 2.9 x − 6

Linear model and the quadratic model

g ( x ) = 0.20 x 2 + 0.5 x − 1

Quadratic model with respect to the points

( 2 , 1 ) , ( 4 , 5 ) , ( 6 , 9 ) , ( 8 , 16 ) , ( 10 , 24 ) .

Then decide which model is a better fit.

To determine

To calculate: The sum of squared error for the given linear model f(x)=2.9x−6 and the quadratic model q(x)=0.20x2+0.5x−1 with respect to the points then decide which model is a better fit.

Explanation

Given Information:

The linear model f(x)=2.9x−6 and the quadratic model q(x)=0.20x2+0.5x−1.

The points are (2,1),(4,5),(6,9),(8,16),(10,24).

Formula used:

The sum of squared error for the model y=f(x) with respect points (x1,y1),(x2,y2)....(xn,yn) is given by,

 S=[f1(y)−y1]2+[f2(x)−y2]2+...[fn(x)−yn]2

Here sum of squared error will less that model will be a better fit.

Calculation:

Consider the provided model,

Linear model f(x)=2.9x−6

Quadratic model q(x)=0.20x2+0.5x−1

Being by evaluating each model at the given x− values as shown in the table.

x 2 4 6 8 10
Actual y values 1 5 9 16 24
Linear model f(x)=2.9x−6 0

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Sect-7.1 P-1CPSect-7.1 P-2CPSect-7.1 P-3CPSect-7.1 P-4CPSect-7.1 P-5CPSect-7.1 P-6CPSect-7.1 P-7CPSect-7.1 P-1SWUSect-7.1 P-2SWUSect-7.1 P-3SWU
Sect-7.1 P-4SWUSect-7.1 P-5SWUSect-7.1 P-6SWUSect-7.1 P-7SWUSect-7.1 P-8SWUSect-7.1 P-1ESect-7.1 P-2ESect-7.1 P-3ESect-7.1 P-4ESect-7.1 P-5ESect-7.1 P-6ESect-7.1 P-7ESect-7.1 P-8ESect-7.1 P-9ESect-7.1 P-10ESect-7.1 P-11ESect-7.1 P-12ESect-7.1 P-13ESect-7.1 P-14ESect-7.1 P-15ESect-7.1 P-16ESect-7.1 P-17ESect-7.1 P-18ESect-7.1 P-19ESect-7.1 P-20ESect-7.1 P-21ESect-7.1 P-22ESect-7.1 P-23ESect-7.1 P-24ESect-7.1 P-25ESect-7.1 P-26ESect-7.1 P-27ESect-7.1 P-28ESect-7.1 P-29ESect-7.1 P-30ESect-7.1 P-31ESect-7.1 P-32ESect-7.1 P-33ESect-7.1 P-34ESect-7.1 P-35ESect-7.1 P-36ESect-7.1 P-37ESect-7.1 P-38ESect-7.1 P-39ESect-7.1 P-40ESect-7.1 P-41ESect-7.1 P-42ESect-7.1 P-43ESect-7.1 P-44ESect-7.2 P-1CPSect-7.2 P-2CPSect-7.2 P-3CPSect-7.2 P-1SWUSect-7.2 P-2SWUSect-7.2 P-3SWUSect-7.2 P-4SWUSect-7.2 P-5SWUSect-7.2 P-6SWUSect-7.2 P-1ESect-7.2 P-2ESect-7.2 P-3ESect-7.2 P-4ESect-7.2 P-5ESect-7.2 P-6ESect-7.2 P-7ESect-7.2 P-8ESect-7.2 P-9ESect-7.2 P-10ESect-7.2 P-11ESect-7.2 P-12ESect-7.2 P-13ESect-7.2 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Mathematical Excursions (MindTap Course List)

Calculate each expression in Exercises 124, giving the answer as a whole number or a fraction in lowest terms. ...

Finite Mathematics

Determine whether the differential equation is linear. 3. uet=t+tdudt

Single Variable Calculus: Early Transcendentals

The standard width of a new piston ring is 0.2573 in. The used ring measures 0.2476 in. How much has it worn?

Elementary Technical Mathematics

Use ratio and proportion to solve the following business situations. 33. The Pizza Palace makes 30 pizzas every...

Contemporary Mathematics for Business & Consumers

Solve sin2xsinx=0 if 0x2.

Trigonometry (MindTap Course List)

Given: QinwhichmAB:mBC:mCA=2:3:4 Find: a mAB b mBC c mCA d m1(AQB) e m2(CQB) f m3(CQA) g m4(CAQ) h m5(QAB) i m6...

Elementary Geometry For College Students, 7e

Suppose that in an RSA Public Key Cryptosystem, the public key is. Encrypt the message "pay me later” using two...

Elements Of Modern Algebra

Finding a Derivative In Exercises 43-66, find the derivative of the function. y=ln[t(t2+3)3]

Calculus of a Single Variable

Finding a Derivative In Exercises 9-20, use the rules of differentiation to find the derivative of the function...

Calculus: Early Transcendental Functions (MindTap Course List)

LOTTERIES In a state lottery, there are 15 finalists who are eligible for the Big Money Draw. In how many ways ...

Finite Mathematics for the Managerial, Life, and Social Sciences

Perpendicular lines l1 and l2 have slopes m1 and m2, respectively. Find m2 if m1 equals: a 5 b -53 c -12 d a-bc

Elementary Geometry for College Students

Evaluating a Flux Integral In Exercises 79 and 80, find the flux of F across S, sFNdS where N is the upward uni...

Calculus (MindTap Course List)

True or False: If dz exists at (x, y), then z = f(x, y) is differentiable at (x, y).

Study Guide for Stewart's Multivariable Calculus, 8th

Evaluating a Definite Integral In Exercises 31-34, evaluate the definite integral. 03(ti+tj+4tk)dt

Calculus

0 1 2 ∞

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Finding Partial Derivatives Using Technology In Exercises 87-90, use a computer algebra system to find the firs...

Multivariable Calculus

Recall that in exercise 49, the admissions officer for Clearwater College developed the following estimated reg...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Describe the pattern that would appear in a scatter plot showing the data points for each of the following corr...

Research Methods for the Behavioral Sciences (MindTap Course List)

pH of a solution Find the pH of a solution with a hydrogen ion concentration of 1.710-5 gram-ions per liter. Ro...

College Algebra (MindTap Course List)

Express the following ratios in lowest fractional form. 7. 6:21

Mathematics For Machine Technology

The paper Feedback Enhances the Positive Effects and Reduces the Negative Effects of Multiple-Choice Testing (M...

Introduction To Statistics And Data Analysis

Although studies continue to show smoking leads to significant health problems, 20% ofadults in the United Stat...

Statistics for Business & Economics, Revised (MindTap Course List)

To qualify as a true experiment, a research study requires the manipulation of at least one variable. The fact ...

Research Methods for the Behavioral Sciences (MindTap Course List)

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