- For a simple regression (one independent variable), statistics programs
produce two estimates,
**a**(the "constant term") and**b**(the "linear coefficient"), for the parameters**α**and**β**, respectively. - Each estimate has an associated
**t-value**(along with its degrees-of-freedom,**df**) and**p-value**, for the test that the corresponding parameter is zero.

- For each regression test you do, at least
**t**,**df**, and**p**for the linear coefficient**β**should be reported. A succinct notation is:**t(**df**) =**t-value**, p =**p-value - When
**β**is significantly different from zero (**p**< 0.05), report**b**(and be sure to include its units). If**α**is "meaningful" (i.e. we are concerned with the exact location of the regression line, not just with its slope,**β**), report its**t**,**df**, and**p**values (along with**a**, if significant). - As with the
comparison-of-means t-test, when it comes to
the number of digits to report, we are primarily concerned with whether
**p**is greater than or less than 0.05. Therefore, one need only report one digit behind the decimal for a t-value, and report two digits behind the decimal for a p-value (one could go to three if the p-value is near 0.05, such as 0.045 or 0.055).