What does the F statistic tell you?
The F-statistic is the test statistic for F-tests.
In general, an F-statistic is a ratio of two quantities that are expected to be roughly equal under the null hypothesis, which produces an F-statistic of approximately 1.
In order to reject the null hypothesis that the group means are equal, we need a high F-value..
What is considered a high F value?
The F ratio is the ratio of two mean square values. If the null hypothesis is true, you expect F to have a value close to 1.0 most of the time. A large F ratio means that the variation among group means is more than you’d expect to see by chance.
How do you calculate linear regression coefficient?
A regression coefficient is the same thing as the slope of the line of the regression equation. The equation for the regression coefficient that you’ll find on the AP Statistics test is: B1 = b1 = Σ [ (xi – x)(yi – y) ] / Σ [ (xi – x)2]. “y” in this equation is the mean of y and “x” is the mean of x.
How do you describe regression results?
The sign of a regression coefficient tells you whether there is a positive or negative correlation between each independent variable the dependent variable. A positive coefficient indicates that as the value of the independent variable increases, the mean of the dependent variable also tends to increase.
How do you interpret multiple regression results?
Interpret the key results for Multiple RegressionStep 1: Determine whether the association between the response and the term is statistically significant.Step 2: Determine how well the model fits your data.Step 3: Determine whether your model meets the assumptions of the analysis.
How do you report an F statistic?
The key points are as follows:Set in parentheses.Uppercase for F.Lowercase for p.Italics for F and p.F-statistic rounded to three (maybe four) significant digits.F-statistic followed by a comma, then a space.Space on both sides of equal sign and both sides of less than sign.More items…•
What is the F critical value?
The F-statistic is computed from the data and represents how much the variability among the means exceeds that expected due to chance. An F-statistic greater than the critical value is equivalent to a p-value less than alpha and both mean that you reject the null hypothesis.