How to Compute a Linear Regression Test Value

Linear Regression 5 Comments

Linear regression test values are used in linear regression exactly the same way as they are in hypothesis testing, only instead of working with z-tables you’ll be working with t-tables. This article shows you how to compute a linear regression test value in a few east steps.

Sample question: Given a set of data with sample size 8 and r = 0.454, compute the test value.

Step 1: Compute r, the correlation coefficient, unless it has already been given to you in the question (e.g., r = .0454).

Step 2: Use the following formula to compute the test value (n is the sample size):
linear regression test value

T = 1.24811026

Click here if you want easy, step-by-step instructions for solving this formula.

 

  1. Replace the variables with your numbers:
    T = .454√((8 – 2)/(1-〖.454〗^2 ))

    • Subtract 2 from n:
      8 – 2 = 6
    • Square r:
      .454 × .454 = .206116
    • Subtract step (3) from 1:
      1 – .206116 = .793884
    • Divide step (2) by step (4):
      6 / .793884 = 7.557779
    • Take the square root of step (5):
      √7.557779 = 2.74914154
    • Multiply r by step (6):
      .454 × 2.74914154 = 1.24811026

     

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    That’s it!

Related posts:

  1. How to Find a Linear Regression Slope
  2. How to Find a Linear Regression Equation
  3. How to Perform a TI 83 Linear Regression
  4. How to Perform Linear Regression on the TI-89 calculator in Under a Minute!
  5. How to Test for Correlation Coefficients
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5 Responses to “How to Compute a Linear Regression Test Value”

  1. Vanessa DuBarry said:

    Dec 04, 09 at 4:10 am

    This blog is soooo helpful, just be careful with the numbers. but besides that its not that hard, but this blog sure makes it easier!!

  2. Donna Allen said:

    Dec 04, 09 at 11:59 pm

    This explanation was helpful and easy to understand. I agree that the blog has made things a lot easier to understand.

  3. Tammy Sutton said:

    Dec 07, 09 at 3:33 pm

    Why do you subtract 2? I was wondering that last night when I was working on my homework. I subtracted the two and got the right answer, but I don’t understand why I subtracted the 2.

  4. Alison Bryant said:

    Apr 26, 10 at 12:14 pm

    this was really helpful, I was confused about how to get the value without a test, but now I understand.

  5. easy math for kids said:

    Nov 22, 11 at 8:09 pm

    easy math for kids…

    [...]Statistics How To» Blog Archive » How to Compute a Linear Regression Test Value[...]…

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