The equation A.1-6 should be derived for the slope of the line by using the expression for the vertical distance, d i from the ith data point. The expression for should be determined by finding the differentiating the value of a that minimizes this function. Concept introduction: Let (x 1 ,y 1 ),(x 2 ,y 2 ),........(x n , y n ) to be n data points in a given data set. It is given that a trend line should be drawn through the origin using these data points. The standard format of a line through the origin is y = ax where “a” is the slope and use the method of least square to derive the equation. In addition, when calculating the slope of the line use the vertical distance di from the i th data point (x, y i ) to the line then find the value of a that minimizes this function.

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Answer 1

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Chapter 2, Problem 2.53P

Interpretation Introduction

Interpretation:

The equation A.1-6 should be derived for the slope of the line by using the expression for the vertical distance, d_i from the ith data point. The expression for should be determined by finding the differentiating the value of a that minimizes this function.

Concept introduction:

Let (x₁ ,y₁ ),(x₂ ,y₂ ),........(x_n , y_n ) to be n data points in a given data set. It is given that a trend line should be drawn through the origin using these data points. The standard format of a line through the origin is y = ax where “a” is the slope and use the method of least square to derive the equation. In addition, when calculating the slope of the line use the vertical distance di from the i^th data point (x, y_i ) to the line then find the value of a that minimizes this function.

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Answer 2

Question

Chapter 2, Problem 2.53P

Interpretation Introduction

Interpretation:

The equation A.1-6 should be derived for the slope of the line by using the expression for the vertical distance, d_i from the ith data point. The expression for should be determined by finding the differentiating the value of a that minimizes this function.

Concept introduction:

Let (x₁ ,y₁ ),(x₂ ,y₂ ),........(x_n , y_n ) to be n data points in a given data set. It is given that a trend line should be drawn through the origin using these data points. The standard format of a line through the origin is y = ax where “a” is the slope and use the method of least square to derive the equation. In addition, when calculating the slope of the line use the vertical distance di from the i^th data point (x, y_i ) to the line then find the value of a that minimizes this function.

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Answer 3

Question

Chapter 2, Problem 2.53P

Interpretation Introduction

Interpretation:

The equation A.1-6 should be derived for the slope of the line by using the expression for the vertical distance, d_i from the ith data point. The expression for should be determined by finding the differentiating the value of a that minimizes this function.

Concept introduction:

Let (x₁ ,y₁ ),(x₂ ,y₂ ),........(x_n , y_n ) to be n data points in a given data set. It is given that a trend line should be drawn through the origin using these data points. The standard format of a line through the origin is y = ax where “a” is the slope and use the method of least square to derive the equation. In addition, when calculating the slope of the line use the vertical distance di from the i^th data point (x, y_i ) to the line then find the value of a that minimizes this function.

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Answer 4

Question

Chapter 2, Problem 2.53P

Interpretation Introduction

Interpretation:

The equation A.1-6 should be derived for the slope of the line by using the expression for the vertical distance, d_i from the ith data point. The expression for should be determined by finding the differentiating the value of a that minimizes this function.

Concept introduction:

Let (x₁ ,y₁ ),(x₂ ,y₂ ),........(x_n , y_n ) to be n data points in a given data set. It is given that a trend line should be drawn through the origin using these data points. The standard format of a line through the origin is y = ax where “a” is the slope and use the method of least square to derive the equation. In addition, when calculating the slope of the line use the vertical distance di from the i^th data point (x, y_i ) to the line then find the value of a that minimizes this function.

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Answer 5

Chapter 2, Problem 2.53P

Interpretation Introduction

Interpretation:

The equation A.1-6 should be derived for the slope of the line by using the expression for the vertical distance, d_i from the ith data point. The expression for should be determined by finding the differentiating the value of a that minimizes this function.

Concept introduction:

Let (x₁ ,y₁ ),(x₂ ,y₂ ),........(x_n , y_n ) to be n data points in a given data set. It is given that a trend line should be drawn through the origin using these data points. The standard format of a line through the origin is y = ax where “a” is the slope and use the method of least square to derive the equation. In addition, when calculating the slope of the line use the vertical distance di from the i^th data point (x, y_i ) to the line then find the value of a that minimizes this function.

Answer 6

Chapter 2, Problem 2.53P

Interpretation Introduction

Interpretation:

The equation A.1-6 should be derived for the slope of the line by using the expression for the vertical distance, d_i from the ith data point. The expression for should be determined by finding the differentiating the value of a that minimizes this function.

Concept introduction:

Let (x₁ ,y₁ ),(x₂ ,y₂ ),........(x_n , y_n ) to be n data points in a given data set. It is given that a trend line should be drawn through the origin using these data points. The standard format of a line through the origin is y = ax where “a” is the slope and use the method of least square to derive the equation. In addition, when calculating the slope of the line use the vertical distance di from the i^th data point (x, y_i ) to the line then find the value of a that minimizes this function.

Answer 7

Chapter 2, Problem 2.53P

Interpretation Introduction

Interpretation:

The equation A.1-6 should be derived for the slope of the line by using the expression for the vertical distance, d_i from the ith data point. The expression for should be determined by finding the differentiating the value of a that minimizes this function.

Concept introduction:

Let (x₁ ,y₁ ),(x₂ ,y₂ ),........(x_n , y_n ) to be n data points in a given data set. It is given that a trend line should be drawn through the origin using these data points. The standard format of a line through the origin is y = ax where “a” is the slope and use the method of least square to derive the equation. In addition, when calculating the slope of the line use the vertical distance di from the i^th data point (x, y_i ) to the line then find the value of a that minimizes this function.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 2 - Prob. 2.1P Ch. 2 - Prob. 2.2P Ch. 2 - Prob. 2.3P Ch. 2 - Prob. 2.4P Ch. 2 - Prob. 2.5P Ch. 2 - Prob. 2.6P Ch. 2 - Prob. 2.7P Ch. 2 - Prob. 2.8P Ch. 2 - Prob. 2.9P Ch. 2 - Prob. 2.10P

Solution Summary: The author explains that the equation A.1-6 should be derived for the slope of the line by using the expression for vertical distance, d i from the ith data point.

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