h = regression_ttest (y, x) tests the null hypothesis that the slope $beta1$ of a simple linear regression equals 0. The result is h = 0 if the null hypothesis cannot be rejected at the 5% significance level, or h = 1 if the null hypothesis can be rejected at the 5% level. y and x must be vectors of equal length with finite real numbers.

The p-value of the test is returned in pval. A $100(1-alpha)\%$ confidence interval for $beta1$ is returned in ci. stats is a structure containing the value of the test statistic (tstat), the degrees of freedom (df), the slope coefficient (beta1), and the intercept (beta0). Under the null, the test statistic stats.tstat follows a $T$-distribution with stats.df degrees of freedom.

[…] = regression_ttest (…, name, value) specifies one or more of the following name/value pairs:

See also: regression_ftest, regress, regress_gp

Source Code: regression_ttest