If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Making conclusions about slope

Problem

Leonard took a random sample of his recent text messages and found a positive linear relationship between how many minutes he took to reply and how many minutes the other person took to reply. Here is computer output from a least-squares regression analysis on his sample:
Regression: Their time vs. Leonard's time
PredictorCoefSE CoefTP
Constant2, point, 9150, point, 8643, point, 3760, point, 005
Leonard's time0, point, 3470, point, 2381, point, 4610, point, 168
Leonard wants to test start text, H, end text, start subscript, 0, end subscript, start text, colon, space, end text, beta, equals, 0 vs. start text, H, end text, start subscript, start text, a, end text, end subscript, start text, colon, space, end text, beta, does not equal, 0. Assume that all conditions for inference have been met.
At the alpha, equals, 0, point, 05 level of significance, is there sufficient evidence to conclude a linear relationship between these variables in Leonard's text messages? Why?
Choose 1 answer:
Stuck?
Stuck?