Asked by Miles Stewart on Jun 05, 2024

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For simple linear regression,the p-value associated with the test for the slope coefficient ________.

A) is usually a value greater than 1
B) will be equal to the Significance F value
C) measures the fit of the regression line to the data
D) explains the variation of the dependent variable around the mean

P-Value

The probability of obtaining test results at least as extreme as the results actually observed, under the assumption that the null hypothesis is correct.

Slope Coefficient

A measure in statistics that represents the rate of change in the dependent variable per unit change in an independent variable in a linear model.

Significance F

A test statistic used in the analysis of variance (ANOVA) to determine if the means of several groups are all equal or if at least one is significantly different.

  • Acquire knowledge on the procedure and value of significance testing in regression models.
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Pierre GérardJun 11, 2024
Final Answer :
B
Explanation :
The p-value associated with the test for the slope coefficient in simple linear regression is used to determine whether the slope is significantly different from zero. This p-value is often compared to the Significance F value in the ANOVA table, which tests the overall significance of the regression model. Both values are related to the hypothesis testing of the model's ability to explain the variation in the dependent variable, but the p-value for the slope specifically tests the null hypothesis that the slope coefficient is equal to zero (indicating no linear relationship between the variables).