Question: Explain the difference between statistical significance and whether an effect is substantively important. Show the full equation to calculate the t-statistic Multi-part question. All the

  1. Explain the difference between statistical significance and whether an effect is substantively important.
  2. Show the full equation to calculate the t-statistic
  3. Multi-part question. All the rest of the questions in this assignment pertain to the below regression table. Standard errors are in parentheses.

The below regression table shows the results from a regression of neuroticism (a personality characteristic) on extraversion (another personality characteristic). It uses data from the Cowles data set in the carData package, if you're interested.

neuroticism

(Intercept)

13.065 ***

(0.431)

extraversion

-0.129 ***

(0.033)

N

1421

R2

0.010

*** p < 0.001; ** p < 0.01; * p < 0.05.

  • Looking at the stars in the table, we can reject the null that the coefficient on extraversion is 0 with
= 0.01

True or False

  • Using a normal null distribution, what is the 95% confidence interval on the coefficient on extraversion?
  • If the above regression object is stored as personality_reg, write the glht() R code that will test whether the coefficient is equal to -.18.

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