Explain why it is more sensible to let α + β x represent the means of the conditional distributions rather than individual observations.

Question

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Answer 1

Question

Chapter 12, Problem 62CP

a.

To determine

Explain why it is more sensible to let α+βx represent the means of the conditional distributions rather than individual observations.

a.

Expert Solution

Explanation of Solution

In this case, it is observed that there is variability in the values of y at fixed values of x. Therefore, one cannot specify the individual values of y using x values, but can specify the mean of the individual values and the way mean changes when x changes.

Therefore, it is more sensible to let α+βx represent the means of the conditional distributions rather than individual observations.

b.

To determine

Explain why the model allows variation around the mean with its parameter σ.

b.

Expert Solution

Explanation of Solution

In this case, it is observed that the values of y differs at a fixed value of x and the parameter of the model σ explains the variability of the conditional distribution of the values of y at each fixed value x. Therefore, the model allows variation around the mean with its parameter σ.

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Answer 2

Question

Chapter 12, Problem 62CP

a.

To determine

Explain why it is more sensible to let α+βx represent the means of the conditional distributions rather than individual observations.

a.

Expert Solution

Explanation of Solution

In this case, it is observed that there is variability in the values of y at fixed values of x. Therefore, one cannot specify the individual values of y using x values, but can specify the mean of the individual values and the way mean changes when x changes.

Therefore, it is more sensible to let α+βx represent the means of the conditional distributions rather than individual observations.

b.

To determine

Explain why the model allows variation around the mean with its parameter σ.

b.

Expert Solution

Explanation of Solution

In this case, it is observed that the values of y differs at a fixed value of x and the parameter of the model σ explains the variability of the conditional distribution of the values of y at each fixed value x. Therefore, the model allows variation around the mean with its parameter σ.

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Answer 3

Question

Chapter 12, Problem 62CP

a.

To determine

Explain why it is more sensible to let α+βx represent the means of the conditional distributions rather than individual observations.

a.

Expert Solution

Explanation of Solution

In this case, it is observed that there is variability in the values of y at fixed values of x. Therefore, one cannot specify the individual values of y using x values, but can specify the mean of the individual values and the way mean changes when x changes.

Therefore, it is more sensible to let α+βx represent the means of the conditional distributions rather than individual observations.

b.

To determine

Explain why the model allows variation around the mean with its parameter σ.

b.

Expert Solution

Explanation of Solution

In this case, it is observed that the values of y differs at a fixed value of x and the parameter of the model σ explains the variability of the conditional distribution of the values of y at each fixed value x. Therefore, the model allows variation around the mean with its parameter σ.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 12, Problem 62CP

a.

To determine

Explain why it is more sensible to let α+βx represent the means of the conditional distributions rather than individual observations.

a.

Expert Solution

Explanation of Solution

In this case, it is observed that there is variability in the values of y at fixed values of x. Therefore, one cannot specify the individual values of y using x values, but can specify the mean of the individual values and the way mean changes when x changes.

Therefore, it is more sensible to let α+βx represent the means of the conditional distributions rather than individual observations.

b.

To determine

Explain why the model allows variation around the mean with its parameter σ.

b.

Expert Solution

Explanation of Solution

In this case, it is observed that the values of y differs at a fixed value of x and the parameter of the model σ explains the variability of the conditional distribution of the values of y at each fixed value x. Therefore, the model allows variation around the mean with its parameter σ.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 12, Problem 62CP

a.

To determine

Explain why it is more sensible to let α+βx represent the means of the conditional distributions rather than individual observations.

a.

Expert Solution

Explanation of Solution

In this case, it is observed that there is variability in the values of y at fixed values of x. Therefore, one cannot specify the individual values of y using x values, but can specify the mean of the individual values and the way mean changes when x changes.

Therefore, it is more sensible to let α+βx represent the means of the conditional distributions rather than individual observations.

b.

To determine

Explain why the model allows variation around the mean with its parameter σ.

b.

Expert Solution

Explanation of Solution

In this case, it is observed that the values of y differs at a fixed value of x and the parameter of the model σ explains the variability of the conditional distribution of the values of y at each fixed value x. Therefore, the model allows variation around the mean with its parameter σ.

Answer 6

Chapter 12, Problem 62CP

a.

To determine

Explain why it is more sensible to let α+βx represent the means of the conditional distributions rather than individual observations.

a.

Expert Solution

Explanation of Solution

In this case, it is observed that there is variability in the values of y at fixed values of x. Therefore, one cannot specify the individual values of y using x values, but can specify the mean of the individual values and the way mean changes when x changes.

Therefore, it is more sensible to let α+βx represent the means of the conditional distributions rather than individual observations.

Answer 7

Chapter 12, Problem 62CP

a.

To determine

Explain why it is more sensible to let α+βx represent the means of the conditional distributions rather than individual observations.

Answer 8

a.

Expert Solution

Explanation of Solution

In this case, it is observed that there is variability in the values of y at fixed values of x. Therefore, one cannot specify the individual values of y using x values, but can specify the mean of the individual values and the way mean changes when x changes.

Therefore, it is more sensible to let α+βx represent the means of the conditional distributions rather than individual observations.

Answer 9

a.

Expert Solution

Answer 10

a.

Expert Solution

Answer 11

Expert Solution

Answer 12

b.

To determine

Explain why the model allows variation around the mean with its parameter σ.

b.

Expert Solution

Explanation of Solution

In this case, it is observed that the values of y differs at a fixed value of x and the parameter of the model σ explains the variability of the conditional distribution of the values of y at each fixed value x. Therefore, the model allows variation around the mean with its parameter σ.

Answer 13

b.

To determine

Explain why the model allows variation around the mean with its parameter σ.

Answer 14

b.

Expert Solution

Explanation of Solution

In this case, it is observed that the values of y differs at a fixed value of x and the parameter of the model σ explains the variability of the conditional distribution of the values of y at each fixed value x. Therefore, the model allows variation around the mean with its parameter σ.