The estimates of β 0 and β 1 .

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 12.3, Problem 5AYU

a.

To determine

To find: The estimates of β0 and β1 .

b.

To determine

To compute: The standard error and the point estimate for σ .

c.

To determine

The value of sb1 .

d.

To determine

To test: H0:β1=0 versus H1:β1≠0 at the α=0.05 significance level by assuming that the residuals are normally distributed.

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A dietitian wishes to see if a person’s cholesterol level will be changed if the diet is supplemented by a certain mineral. Four subjects were pre-tested, and they took the mineral supplement for a 6-week period. The results are shown in the table. Is there sufficient evidence to conclude that the population mean of cholesterol levels has been changed after six weeks at α=0.2α=0.2? Assume that the differences are from an approximately normally distributed population. Subject Cholestrol Level (mg/dl) Cholestrol Level after 6 Weeks (mg/dl) dd ¯dd¯ (d−¯d)2(d-d¯)2 1 206 217 11 2 219 184 -35 3 202 204 2 4 213 205 -8 Total -30 a) Calculate the mean, the sum of the squared deviation from the mean, and the standard deviation of differences. Do not include the unit for each answer: ¯d=d¯= (do not round) ∑(d−¯d)2=∑(d-d¯)2= (do not round) sd=sd= (rounded to one decimal place) b) Perform the hypothesis test in the following steps: Step 1.…

6. Another name for the residual term in a regression equation is: a. Random error b. Heteroscedasticity c. Pooled variances d. Residual analysis 7. The following values are listed as coefficients of correlation (r). The one that indicates an inverse relationship between the two variables x and y is: a. 0.0 b. 0.9 c. 1.3 d.-1.4

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Answer 2

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 12.3, Problem 5AYU

a.

To determine

To find: The estimates of β0 and β1 .

b.

To determine

To compute: The standard error and the point estimate for σ .

c.

To determine

The value of sb1 .

d.

To determine

To test: H0:β1=0 versus H1:β1≠0 at the α=0.05 significance level by assuming that the residuals are normally distributed.

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Answer 3

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 12.3, Problem 5AYU

a.

To determine

To find: The estimates of β0 and β1 .

b.

To determine

To compute: The standard error and the point estimate for σ .

c.

To determine

The value of sb1 .

d.

To determine

To test: H0:β1=0 versus H1:β1≠0 at the α=0.05 significance level by assuming that the residuals are normally distributed.

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Answer 4

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 12.3, Problem 5AYU

a.

To determine

To find: The estimates of β0 and β1 .

b.

To determine

To compute: The standard error and the point estimate for σ .

c.

To determine

The value of sb1 .

d.

To determine

To test: H0:β1=0 versus H1:β1≠0 at the α=0.05 significance level by assuming that the residuals are normally distributed.

Expert Solution & Answer

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Answer 5

Chapter 12.3, Problem 5AYU

a.

To determine

To find: The estimates of β0 and β1 .

b.

To determine

To compute: The standard error and the point estimate for σ .

c.

To determine

The value of sb1 .

d.

To determine

To test: H0:β1=0 versus H1:β1≠0 at the α=0.05 significance level by assuming that the residuals are normally distributed.

Answer 6

Chapter 12.3, Problem 5AYU

a.

To determine

To find: The estimates of β0 and β1 .

Answer 7

Chapter 12.3, Problem 5AYU

a.

To determine

To find: The estimates of β0 and β1 .

Answer 8

b.

To determine

To compute: The standard error and the point estimate for σ .

Answer 9

b.

To determine

To compute: The standard error and the point estimate for σ .

Answer 10

c.

To determine

The value of sb1 .

Answer 11

c.

To determine

The value of sb1 .

Answer 12

d.

To determine

To test: H0:β1=0 versus H1:β1≠0 at the α=0.05 significance level by assuming that the residuals are normally distributed.

Answer 13

d.

To determine

To test: H0:β1=0 versus H1:β1≠0 at the α=0.05 significance level by assuming that the residuals are normally distributed.

Answer 14

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Answer 15

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Answer 16

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Answer 17

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The estimates of β 0 and β 1 .

Solution Summary: The author explains the least-square regression equation for the data from Section 4.2. The standard error and the point estimate for sigma are computed.

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To find: The estimates of β0 and β1 .

To compute: The standard error and the point estimate for σ .

The value of sb1 .

To test: H0:β1=0 versus H1:β1≠0 at the α=0.05 significance level by assuming that the residuals are normally distributed.

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Chapter 12 Solutions