t Test for the Slope and the Correlation Coefficient

Key Questions

• What information is gleaned if we reject the null hypothesis for the test of the slope of the least squres regression line?

  Answer:

  The slope is nothing but the regression coefficient. The conclusion is that the concerned variable characteristics are not linearly related or the regression line is not of "best fit"

  Explanation:

  I have modified the question as follows:
  What do we conclude when the null hypothesis regarding the slope of the regression equation is rejected:
  Rejecting the null hypothesis implies the regression line is not a good fit.

  Chandra S. · 1 · Jul 16 2015

• What information is gleaned if we reject the null hypothesis for the test of the slope of the least squres regression line?
• What is a t-score?
• How do you determine the t-statistic of a variable in a regression model?
• How can a t-statistic be used to determine statistical significance?
• Can t-test statistics be a negative number?
• Can t-test statistic have a negative number?
• How do you calculate the t-score of the slope of a time series regression?
• What is an augmented Dickey-Fuller test used for?
• What type of data warrants the use of an augmented Dickey-Fuller?
• What is the standard error of an estimator?
• If a t-statistic is negative, should the absolute value be used?
• How do you interpret the t-statistic of a coefficient in a regression analysis?
• Does a high t-score for a coefficient in a regression model indicate a causal relationship between the variable and the dependent variable?
• How do you make a linear regression line from the data?
• If coefficient of correlation, “r” between two variables is zero, does it mean that there is no relationship between the variables?
• How do you calculate the correlation coefficient?
• What does a correlation coefficient of -1, 0, and 1 mean?
• How do you write the equation of the regression line for the following set of data and find the correlation coefficient?