The wrong statement with reason

Question

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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 10.1, Problem 7E

(a)

To determine

To explain: The wrong statement with reason

(a)

Expert Solution

Answer to Problem 7E

Solution: The parameters of the simple linear regression model are β0,β1, and ε. The wrong statement is that parameters of the simple linear regression model are b0,b1 and s.

Explanation of Solution

The statement is wrong because b0,b1, and s are the estimates of the parameters of the simple linear regression model. The parameters of simple linear regression model are β0,β1, and ε.

(b)

To determine

To explain: The wrong statement with reason

(b)

Expert Solution

Answer to Problem 7E

Solution: It should be to test H0: β1=0, use t test.

Explanation of Solution

The statement is wrong because b1 is the estimate of β1, which is the slope of regression equation. So, use t test to test H0: β1=0.

(c)

To determine

To explain: The wrong statement with reason

(c)

Expert Solution

Answer to Problem 7E

Solution: The wrong statement is that for a value of the variable x, the confidence interval for the mean response will be wider than the prediction interval.

Explanation of Solution

The statement is wrong because in the case of future observation model, prediction interval is wider than mean response interval.

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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 10.1, Problem 7E

(a)

To determine

To explain: The wrong statement with reason

(a)

Expert Solution

Answer to Problem 7E

Solution: The parameters of the simple linear regression model are β0,β1, and ε. The wrong statement is that parameters of the simple linear regression model are b0,b1 and s.

Explanation of Solution

The statement is wrong because b0,b1, and s are the estimates of the parameters of the simple linear regression model. The parameters of simple linear regression model are β0,β1, and ε.

(b)

To determine

To explain: The wrong statement with reason

(b)

Expert Solution

Answer to Problem 7E

Solution: It should be to test H0: β1=0, use t test.

Explanation of Solution

The statement is wrong because b1 is the estimate of β1, which is the slope of regression equation. So, use t test to test H0: β1=0.

(c)

To determine

To explain: The wrong statement with reason

(c)

Expert Solution

Answer to Problem 7E

Solution: The wrong statement is that for a value of the variable x, the confidence interval for the mean response will be wider than the prediction interval.

Explanation of Solution

The statement is wrong because in the case of future observation model, prediction interval is wider than mean response interval.

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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 10.1, Problem 7E

(a)

To determine

To explain: The wrong statement with reason

(a)

Expert Solution

Answer to Problem 7E

Solution: The parameters of the simple linear regression model are β0,β1, and ε. The wrong statement is that parameters of the simple linear regression model are b0,b1 and s.

Explanation of Solution

The statement is wrong because b0,b1, and s are the estimates of the parameters of the simple linear regression model. The parameters of simple linear regression model are β0,β1, and ε.

(b)

To determine

To explain: The wrong statement with reason

(b)

Expert Solution

Answer to Problem 7E

Solution: It should be to test H0: β1=0, use t test.

Explanation of Solution

The statement is wrong because b1 is the estimate of β1, which is the slope of regression equation. So, use t test to test H0: β1=0.

(c)

To determine

To explain: The wrong statement with reason

(c)

Expert Solution

Answer to Problem 7E

Solution: The wrong statement is that for a value of the variable x, the confidence interval for the mean response will be wider than the prediction interval.

Explanation of Solution

The statement is wrong because in the case of future observation model, prediction interval is wider than mean response interval.

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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 10.1, Problem 7E

(a)

To determine

To explain: The wrong statement with reason

(a)

Expert Solution

Answer to Problem 7E

Solution: The parameters of the simple linear regression model are β0,β1, and ε. The wrong statement is that parameters of the simple linear regression model are b0,b1 and s.

Explanation of Solution

The statement is wrong because b0,b1, and s are the estimates of the parameters of the simple linear regression model. The parameters of simple linear regression model are β0,β1, and ε.

(b)

To determine

To explain: The wrong statement with reason

(b)

Expert Solution

Answer to Problem 7E

Solution: It should be to test H0: β1=0, use t test.

Explanation of Solution

The statement is wrong because b1 is the estimate of β1, which is the slope of regression equation. So, use t test to test H0: β1=0.

(c)

To determine

To explain: The wrong statement with reason

(c)

Expert Solution

Answer to Problem 7E

Solution: The wrong statement is that for a value of the variable x, the confidence interval for the mean response will be wider than the prediction interval.

Explanation of Solution

The statement is wrong because in the case of future observation model, prediction interval is wider than mean response interval.

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Answer 5

Chapter 10.1, Problem 7E

(a)

To determine

To explain: The wrong statement with reason

(a)

Expert Solution

Answer to Problem 7E

Solution: The parameters of the simple linear regression model are β0,β1, and ε. The wrong statement is that parameters of the simple linear regression model are b0,b1 and s.

Explanation of Solution

The statement is wrong because b0,b1, and s are the estimates of the parameters of the simple linear regression model. The parameters of simple linear regression model are β0,β1, and ε.

(b)

To determine

To explain: The wrong statement with reason

(b)

Expert Solution

Answer to Problem 7E

Solution: It should be to test H0: β1=0, use t test.

Explanation of Solution

The statement is wrong because b1 is the estimate of β1, which is the slope of regression equation. So, use t test to test H0: β1=0.

(c)

To determine

To explain: The wrong statement with reason

(c)

Expert Solution

Answer to Problem 7E

Solution: The wrong statement is that for a value of the variable x, the confidence interval for the mean response will be wider than the prediction interval.

Explanation of Solution

The statement is wrong because in the case of future observation model, prediction interval is wider than mean response interval.

Answer 6

Chapter 10.1, Problem 7E

(a)

To determine

To explain: The wrong statement with reason

(a)

Expert Solution

Answer to Problem 7E

Solution: The parameters of the simple linear regression model are β0,β1, and ε. The wrong statement is that parameters of the simple linear regression model are b0,b1 and s.

Explanation of Solution

The statement is wrong because b0,b1, and s are the estimates of the parameters of the simple linear regression model. The parameters of simple linear regression model are β0,β1, and ε.

Answer 7

Chapter 10.1, Problem 7E

(a)

To determine

To explain: The wrong statement with reason

Answer 8

(a)

Expert Solution

Answer to Problem 7E

Solution: The parameters of the simple linear regression model are β0,β1, and ε. The wrong statement is that parameters of the simple linear regression model are b0,b1 and s.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

The statement is wrong because b0,b1, and s are the estimates of the parameters of the simple linear regression model. The parameters of simple linear regression model are β0,β1, and ε.

Answer 13

(b)

To determine

To explain: The wrong statement with reason

(b)

Expert Solution

Answer to Problem 7E

Solution: It should be to test H0: β1=0, use t test.

Explanation of Solution

The statement is wrong because b1 is the estimate of β1, which is the slope of regression equation. So, use t test to test H0: β1=0.

Answer 14

(b)

To determine

To explain: The wrong statement with reason

Answer 15

(b)

Expert Solution

Answer to Problem 7E

Solution: It should be to test H0: β1=0, use t test.

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

The statement is wrong because b1 is the estimate of β1, which is the slope of regression equation. So, use t test to test H0: β1=0.

Answer 20

(c)

To determine

To explain: The wrong statement with reason

(c)

Expert Solution

Answer to Problem 7E

Solution: The wrong statement is that for a value of the variable x, the confidence interval for the mean response will be wider than the prediction interval.

Explanation of Solution

The statement is wrong because in the case of future observation model, prediction interval is wider than mean response interval.

Answer 21

(c)

To determine

To explain: The wrong statement with reason

Answer 22

(c)

Expert Solution

Answer to Problem 7E

Solution: The wrong statement is that for a value of the variable x, the confidence interval for the mean response will be wider than the prediction interval.