Find the confidence interval for the mean response. Find the prediction interval for the response

Question

Want to see more full solutions like this?

Answer 1

Question

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Chapter 9.3, Problem 58E

a.

To determine

Find the confidence interval for the mean response.

Find the prediction interval for the response

a.

Expert Solution

Answer to Problem 58E

The confidence interval for the mean response is A: (10 to 14).

The prediction interval for the response is B: (4 to 20).

Explanation of Solution

The prediction interval is always wider when compared to the confidence interval. Based on the situation, interval B (4 to 20) is wider when compared to Interval A (10 to 14).

Thus, the confidence interval for the mean response is A (10 to 14) and the prediction interval for the response is B (4 to 20).

b.

To determine

Find the predicted value of the response variable for this value of the explanatory variable.

b.

Expert Solution

Answer to Problem 58E

The predicted value of the response variable for this value of the explanatory variable is 12.

Explanation of Solution

The predicted value of the response variable for this value of the explanatory variable is as follows.

Predicted value=10+142=242=12

Thus, the predicted value of the response variable for this value of the explanatory variable is 12.

Want to see more full solutions like this?

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

Answer 2

Question

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Chapter 9.3, Problem 58E

a.

To determine

Find the confidence interval for the mean response.

Find the prediction interval for the response

a.

Expert Solution

Answer to Problem 58E

The confidence interval for the mean response is A: (10 to 14).

The prediction interval for the response is B: (4 to 20).

Explanation of Solution

The prediction interval is always wider when compared to the confidence interval. Based on the situation, interval B (4 to 20) is wider when compared to Interval A (10 to 14).

Thus, the confidence interval for the mean response is A (10 to 14) and the prediction interval for the response is B (4 to 20).

b.

To determine

Find the predicted value of the response variable for this value of the explanatory variable.

b.

Expert Solution

Answer to Problem 58E

The predicted value of the response variable for this value of the explanatory variable is 12.

Explanation of Solution

The predicted value of the response variable for this value of the explanatory variable is as follows.

Predicted value=10+142=242=12

Thus, the predicted value of the response variable for this value of the explanatory variable is 12.

Want to see more full solutions like this?

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

Answer 3

Question

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Chapter 9.3, Problem 58E

a.

To determine

Find the confidence interval for the mean response.

Find the prediction interval for the response

a.

Expert Solution

Answer to Problem 58E

The confidence interval for the mean response is A: (10 to 14).

The prediction interval for the response is B: (4 to 20).

Explanation of Solution

The prediction interval is always wider when compared to the confidence interval. Based on the situation, interval B (4 to 20) is wider when compared to Interval A (10 to 14).

Thus, the confidence interval for the mean response is A (10 to 14) and the prediction interval for the response is B (4 to 20).

b.

To determine

Find the predicted value of the response variable for this value of the explanatory variable.

b.

Expert Solution

Answer to Problem 58E

The predicted value of the response variable for this value of the explanatory variable is 12.

Explanation of Solution

The predicted value of the response variable for this value of the explanatory variable is as follows.

Predicted value=10+142=242=12

Thus, the predicted value of the response variable for this value of the explanatory variable is 12.

Want to see more full solutions like this?

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

Answer 4

Question

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Chapter 9.3, Problem 58E

a.

To determine

Find the confidence interval for the mean response.

Find the prediction interval for the response

a.

Expert Solution

Answer to Problem 58E

The confidence interval for the mean response is A: (10 to 14).

The prediction interval for the response is B: (4 to 20).

Explanation of Solution

The prediction interval is always wider when compared to the confidence interval. Based on the situation, interval B (4 to 20) is wider when compared to Interval A (10 to 14).

Thus, the confidence interval for the mean response is A (10 to 14) and the prediction interval for the response is B (4 to 20).

b.

To determine

Find the predicted value of the response variable for this value of the explanatory variable.

b.

Expert Solution

Answer to Problem 58E

The predicted value of the response variable for this value of the explanatory variable is 12.

Explanation of Solution

The predicted value of the response variable for this value of the explanatory variable is as follows.

Predicted value=10+142=242=12

Thus, the predicted value of the response variable for this value of the explanatory variable is 12.

Want to see more full solutions like this?

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

Answer 5

Chapter 9.3, Problem 58E

a.

To determine

Find the confidence interval for the mean response.

Find the prediction interval for the response

a.

Expert Solution

Answer to Problem 58E

The confidence interval for the mean response is A: (10 to 14).

The prediction interval for the response is B: (4 to 20).

Explanation of Solution

The prediction interval is always wider when compared to the confidence interval. Based on the situation, interval B (4 to 20) is wider when compared to Interval A (10 to 14).

Thus, the confidence interval for the mean response is A (10 to 14) and the prediction interval for the response is B (4 to 20).

b.

To determine

Find the predicted value of the response variable for this value of the explanatory variable.

b.

Expert Solution

Answer to Problem 58E

The predicted value of the response variable for this value of the explanatory variable is 12.

Explanation of Solution

The predicted value of the response variable for this value of the explanatory variable is as follows.

Predicted value=10+142=242=12

Thus, the predicted value of the response variable for this value of the explanatory variable is 12.

Answer 6

Chapter 9.3, Problem 58E

a.

To determine

Find the confidence interval for the mean response.

Find the prediction interval for the response

a.

Expert Solution

Answer to Problem 58E

The confidence interval for the mean response is A: (10 to 14).

The prediction interval for the response is B: (4 to 20).

Explanation of Solution

The prediction interval is always wider when compared to the confidence interval. Based on the situation, interval B (4 to 20) is wider when compared to Interval A (10 to 14).

Thus, the confidence interval for the mean response is A (10 to 14) and the prediction interval for the response is B (4 to 20).

Answer 7

Chapter 9.3, Problem 58E

a.

To determine

Find the confidence interval for the mean response.

Find the prediction interval for the response

Answer 8

a.

Expert Solution

Answer to Problem 58E

The confidence interval for the mean response is A: (10 to 14).

The prediction interval for the response is B: (4 to 20).

Answer 9

a.

Expert Solution

Answer 10

a.

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

The prediction interval is always wider when compared to the confidence interval. Based on the situation, interval B (4 to 20) is wider when compared to Interval A (10 to 14).

Thus, the confidence interval for the mean response is A (10 to 14) and the prediction interval for the response is B (4 to 20).

Answer 13

b.

To determine

Find the predicted value of the response variable for this value of the explanatory variable.

b.

Expert Solution

Answer to Problem 58E

The predicted value of the response variable for this value of the explanatory variable is 12.

Explanation of Solution

The predicted value of the response variable for this value of the explanatory variable is as follows.

Predicted value=10+142=242=12

Thus, the predicted value of the response variable for this value of the explanatory variable is 12.

Answer 14

b.

To determine

Find the predicted value of the response variable for this value of the explanatory variable.

Answer 15

b.

Expert Solution

Answer to Problem 58E

The predicted value of the response variable for this value of the explanatory variable is 12.

Answer 16

b.

Expert Solution

Answer 17

b.

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

The predicted value of the response variable for this value of the explanatory variable is as follows.

Predicted value=10+142=242=12

Thus, the predicted value of the response variable for this value of the explanatory variable is 12.

Answer 20

Ch. 9.1 - SKILL BUILDER 1 In Exercises 9.1 to 9.4, use the...Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E

Find the confidence interval for the mean response. Find the prediction interval for the response

Concept explainers

Videos

Find the confidence interval for the mean response.

Find the prediction interval for the response

Answer to Problem 58E

Explanation of Solution

Find the predicted value of the response variable for this value of the explanatory variable.

Answer to Problem 58E

Explanation of Solution

Want to see more full solutions like this?

Chapter 9 Solutions