The reason that the test of the null hypothesis H 0 : ρ = 0 is equivalent to the test of the null hypothesis H 0 : β 1 = 0 .

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Compare Compare Correlation is the measure of the degree of the relationship between the variables. In regression, the relationship between the variables to predict one by another is assessed. In correlation there is no cause and effect between the variables, whereas in regression there is a cause and effect between the variables. By using correlation, we cannot predict anything, but regression is a predictive tool. Coefficients are symmetrical in correlation but in regression they are asymmetrical. Correlation is independent of change in origin and scale, but regression is not independent of change in scale.

Chapter 10.3, Problem 33BB

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To explain: The reason that the test of the null hypothesis H0:ρ=0 is equivalent to the test of the null hypothesis H0:β1=0 .

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Compare Compare Correlation is the measure of the degree of the relationship between the variables. In regression, the relationship between the variables to predict one by another is assessed. In correlation there is no cause and effect between the variables, whereas in regression there is a cause and effect between the variables. By using correlation, we cannot predict anything, but regression is a predictive tool. Coefficients are symmetrical in correlation but in regression they are asymmetrical. Correlation is independent of change in origin and scale, but regression is not independent of change in scale.

Chapter 10.3, Problem 33BB

To determine

To explain: The reason that the test of the null hypothesis H0:ρ=0 is equivalent to the test of the null hypothesis H0:β1=0 .

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Answer 3

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Compare Compare Correlation is the measure of the degree of the relationship between the variables. In regression, the relationship between the variables to predict one by another is assessed. In correlation there is no cause and effect between the variables, whereas in regression there is a cause and effect between the variables. By using correlation, we cannot predict anything, but regression is a predictive tool. Coefficients are symmetrical in correlation but in regression they are asymmetrical. Correlation is independent of change in origin and scale, but regression is not independent of change in scale.

Chapter 10.3, Problem 33BB

To determine

To explain: The reason that the test of the null hypothesis H0:ρ=0 is equivalent to the test of the null hypothesis H0:β1=0 .

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Answer 4

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Compare Compare Correlation is the measure of the degree of the relationship between the variables. In regression, the relationship between the variables to predict one by another is assessed. In correlation there is no cause and effect between the variables, whereas in regression there is a cause and effect between the variables. By using correlation, we cannot predict anything, but regression is a predictive tool. Coefficients are symmetrical in correlation but in regression they are asymmetrical. Correlation is independent of change in origin and scale, but regression is not independent of change in scale.

Chapter 10.3, Problem 33BB

To determine

To explain: The reason that the test of the null hypothesis H0:ρ=0 is equivalent to the test of the null hypothesis H0:β1=0 .

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Answer 5

Chapter 10.3, Problem 33BB

To determine

To explain: The reason that the test of the null hypothesis H0:ρ=0 is equivalent to the test of the null hypothesis H0:β1=0 .

Answer 6

Chapter 10.3, Problem 33BB

To determine

To explain: The reason that the test of the null hypothesis H0:ρ=0 is equivalent to the test of the null hypothesis H0:β1=0 .

Answer 7

Chapter 10.3, Problem 33BB

To determine

To explain: The reason that the test of the null hypothesis H0:ρ=0 is equivalent to the test of the null hypothesis H0:β1=0 .

Answer 8

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Answer 11

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The reason that the test of the null hypothesis H 0 : ρ = 0 is equivalent to the test of the null hypothesis H 0 : β 1 = 0 .

Solution Summary: The author explains the null hypothesis H_0:rho =0, which is the slope of the regression line for that same population

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