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Can an intercept coefficient ever be greater than 1?
Popular Answers (1) Of course it’s possible, because the intercept is what happens when x==0, which might be quite far away from where the actual observations lie along the x-axis.
What is the y-intercept when the slope is zero?
So the y-intercept is (0, -2). The slope is 0 and the y-intercept is -2. In other words, the slopes of parallel lines are equal. Note that two lines are parallel if there slopes are equal and they have different y-intercepts.
How to calculate confidence intervals for slope and intercept?
Conducting hypothesis tests and calculating confidence intervals for the intercept parameter β0 is not done as often as it is for the slope parameter β1. The reason for this becomes clear upon reviewing the meaning of β0. The intercept parameter β0 is the mean of the responses at x = 0.
What is the hypothesis test for the slope β1?
We follow standard hypothesis test procedures in conducting a hypothesis test for the slope β1. First, we specify the null and alternative hypotheses: The phrase “some number β ” means that you can test whether or not the population slope takes on any value. Most often, however, we are interested in testing whether β1 is 0.
How to learn about the intercept and slope of a population?
In the simple regression setting, we are often interested in learning about the population intercept β0 and the population slope β1. As you know, confidence intervals and hypothesis tests are two related, but different, ways of learning about the values of population parameters.
How to test that all slope parameters are equal to 0?
There is sufficient evidence ( F = 16.43, P < 0.001) to conclude that at least one of the slope parameters is not equal to 0. In general, to test that all of the slope parameters in a multiple linear regression model are 0, we use the overall F -test reported in the analysis of variance table.