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

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Chapter 7.7, Problem 7E
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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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
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Finding the Least Squares Regression Line In Exercises 5-8, find the least squares regression line for the given points. Then plot the points and sketch the regression line. See

( -2, 4), (-1, 1), (0,-1), (1,-3)

To determine

To calculate: The least square regression Line for the points (−2,4),(−1,1),(0,−1),(1,−3) . And also plot the regression line obtained.

Explanation

Given Information:

The points are:

(−2,4),(−1,1),(0,−1),(1,−3) 

Formula used:

The sum of squared errors of model y=f(x)

S=[f(x1)−y1]2+[f(x2)−y2]2+…+[f(xn)−yn]2

Here, the regression equation is f(x)=ax+b.

And take derivative with respect a and b and put derivative equal to solve equation.

Calculation:

Consider the given points, (−2,4),(−1,1),(0,−1),(1,−3) 

Now, make the table for point to find the value of f(x),

x −2 −1 0 1
y−actual 4 1 −1 −3
f(x) −2a+b −a+b b a+b

Now, find the squared errors of model,

S=[−2a+b−4]2+[−a+b−1]2+[b+1]2+[a+b+3]2

Now, find the derivative with respect a and put equal to zero,

dSda=dda([−2a+b−4]2+[−a+b−1]2+[b+1]2+[a+b+3]2)

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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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P-2SWUSect-7.7 P-3SWUSect-7.7 P-4SWUSect-7.7 P-5SWUSect-7.7 P-6SWUSect-7.7 P-7SWUSect-7.7 P-8SWUSect-7.7 P-1ESect-7.7 P-2ESect-7.7 P-3ESect-7.7 P-4ESect-7.7 P-5ESect-7.7 P-6ESect-7.7 P-7ESect-7.7 P-8ESect-7.7 P-9ESect-7.7 P-10ESect-7.7 P-11ESect-7.7 P-12ESect-7.7 P-13ESect-7.7 P-14ESect-7.7 P-15ESect-7.7 P-16ESect-7.7 P-17ESect-7.7 P-18ESect-7.7 P-19ESect-7.7 P-20ESect-7.7 P-21ESect-7.7 P-22ESect-7.7 P-23ESect-7.7 P-24ESect-7.7 P-25ESect-7.7 P-26ESect-7.7 P-27ESect-7.7 P-28ESect-7.7 P-29ESect-7.7 P-30ESect-7.8 P-1CPSect-7.8 P-2CPSect-7.8 P-3CPSect-7.8 P-4CPSect-7.8 P-5CPSect-7.8 P-6CPSect-7.8 P-1SWUSect-7.8 P-2SWUSect-7.8 P-3SWUSect-7.8 P-4SWUSect-7.8 P-5SWUSect-7.8 P-6SWUSect-7.8 P-7SWUSect-7.8 P-8SWUSect-7.8 P-9SWUSect-7.8 P-10SWUSect-7.8 P-11SWUSect-7.8 P-12SWUSect-7.8 P-13SWUSect-7.8 P-14SWUSect-7.8 P-15SWUSect-7.8 P-16SWUSect-7.8 P-1ESect-7.8 P-2ESect-7.8 P-3ESect-7.8 P-4ESect-7.8 P-5ESect-7.8 P-6ESect-7.8 P-7ESect-7.8 P-8ESect-7.8 P-9ESect-7.8 P-10ESect-7.8 P-11ESect-7.8 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Compute the following binomial probabilities directly from the formula for b(x, n, p): a. b(3; 8, .35) b. b(5; ...

Probability and Statistics for Engineering and the Sciences

For Problems 1-10, answer true or false. The value of x2y2 is 29 when x=5 and y=2.

Intermediate Algebra

A function is given by a table of values, a graph, a formula or a verbal description. Determine whether it is o...

Single Variable Calculus: Early Transcendentals

Each problem below refers to a vector V with magnitude V that forms an angle with the positive x-axis. In each...

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True or False Label each of the following statements as either true or false. 7.

Elements Of Modern Algebra

Writhe each decimal number in binary form: 80

Elementary Technical Mathematics

41. Matt Menke purchased 153.6 square yards of carpeting on sale for $13.70 per yard. a. What was the cost of t...

Contemporary Mathematics for Business & Consumers

A frustum of a cone is the portion of the cone bounded between the circular base and a plane parallel to the ba...

Elementary Geometry For College Students, 7e

Review In Exercises 53-70, determine the convergence or divergence of the series using any appropriate test fro...

Calculus of a Single Variable

WRITING ABOUT CONCEPTS Finding Points of Intersection In Exercises 6971, find the coordinates of the point of i...

Calculus: Early Transcendental Functions (MindTap Course List)

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Finite Mathematics for the Managerial, Life, and Social Sciences

A triangle is both isosceles and acute. If one angle of the triangle measures 36, what is the measure of the of...

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Multivariable Calculus

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Calculus

Comparing PlanesIn Exercises 6974, determine whether the planes are parallel, orthogonal, or neither. If they a...

Calculus (MindTap Course List)

The equation of the plane partially drawn in the figure is: x = 3 y = 3 z = 3 x + y = 3

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The National Center for Education Statistics reported the following data on the average cost per year for tuiti...

Introduction To Statistics And Data Analysis

A major manufacturer of golf equipment is considering three designs for a new driver: Design A, Design B, and D...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

In addition to the key words, you should also be able to define each of the following terms: Descriptive resear...

Research Methods for the Behavioral Sciences (MindTap Course List)

Add the terms in the following expressions. 22m2+(m2)

Mathematics For Machine Technology

Solve each problem. Mixing milk If a bottle holding 3 liters of milk contains 312 butterfat, how much skimmed m...

College Algebra (MindTap Course List)

Explain how the pretest helps minimize the threat to internal validity from individual differences in a pretest...

Research Methods for the Behavioral Sciences (MindTap Course List)

Using Figure 6.4 as a guide, sketch a normal curve for a random variable x that has a meanof m = 100 and a stan...

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

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