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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Consider the following regression model: Y = β0 + β1X1 + β2X2 + β3X3 + ε.Suppose that you have estimated the coefficients for the model,and obtained the partial ANOVA table shown below.
Analysis of Variance
THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following regression model: Y = β<sub>0</sub> + β<sub>1</sub>X<sub>1</sub> + β<sub>2</sub>X<sub>2</sub> + β<sub>3</sub>X<sub>3</sub> + ε.Suppose that you have estimated the coefficients for the model,and obtained the partial ANOVA table shown below. Analysis of Variance    -Test the null hypothesis H<sub>0</sub> : β<sub>1</sub><sub> </sub>= β<sub>2</sub> = β<sub>3</sub><sub> </sub>= 0 against H<sub>1</sub> : At least one β<sub>j</sub> ≠ 0,j = 1,2,3 at the 1% significance level.
-Test the null hypothesis H0 : β1 = β2 = β3 = 0 against H1 : At least one βj ≠ 0,j = 1,2,3 at the 1% significance level.

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Definitions:

Constant

A fixed value that does not change.

Binomial Distribution

A probability distribution expressing the probability of a fixed number of successes in a fixed number of trials, with only two possible outcomes.

Mean

The average of a set of numbers, calculated by dividing the sum of the numbers by the count of numbers.

N

Common statistical notation representing the sample size or the number of observations in a dataset.

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