Back to: Chapter 16: Simple linear regression and correlation

9 thoughts on “Test of the Slope (Preview)

  1. Is alpha 0.05 because 5% is the significance level? If the significance level was 8% or 12% would alpha be 0.08 & 0.12 respectively?

    1. Yes – That is exactly right.

  2. hey jason, are you going to do a rundown on what to expect for the first term test? I cannot understand a single word of my prof in class lol

  3. Hello I am having trouble entering the equation to get sb1 into my calculator. Could you please go over bedmas, and also go over the order you enter the equation into the calculator?

    1. I have a playlist here where i cover the Order of Operation basics:

      Entering equations will change from one calculator to the next. Can you tell me which make and model of calculator that you have? Usually there is the code at the top of the calculator.

  4. Hey Jason,
    do we have to know how to do the t test for the coefficient of correlation? I noticed there were 2 questions in the textbook that required me to do that and I couldnt figure it out.

    1. If you are referring to to Test of Rho, it’s hard to say whether or not it will appear on the exam. It’s not focused on in your course, and I know that your professors prefer the Test of Slope (which you MUST understand).

      That being said, it is not omitted from the material you are responsible in your outline, so you should be familiar with it. It may be worth a single mark in a multiple choice question at most.

      1. Hey Jason,

        I kind of got confused towards the end why did we put B1 as (0) in the equation of t=b1-B1/Sb1.

        Thanks in advance

        1. β1 represents the value of the slope in the POPULATION, but we don’t have access to any population data so we cannot know the actual value of β1. We did however hypothesize that β1 is equal to zero (in the null hypothesis), and so when we perform the t-test to determine if there is enough evidence to support the null hypothesis, we use this hypothesized value of β1 = 0

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