Asksia AI LOGO


Posted 2 months ago

Kadence took a random sample of 24 students at her school and asked them how much they typically slept on a school night versus a weekend night. Here is computer output from a least-squares regression analysis on her sample:

Regression: weekend vs. school night
Predictor & Coef & SE Coef \\
\hline Constant & 3.182 & 2.319 \\
School night & 0.789 & 0.237 \\
S =1.75=1.75 & R-sq =20.9%=20.9 \% &

Assume that all conditions for inference have been met.
Which of these is an appropriate test statistic for testing the null hypothesis that the population slope in this setting is 0 ?

Choose 1 answer:
(A) t=0.7890.237t=\frac{0.789}{0.237}
(B) t=0.7891.75t=\frac{0.789}{1.75}
(C) t=0.7890.209t=\frac{0.789}{0.209}
(D) t=3.1822.319t=\frac{3.182}{2.319}
(E) t=3.1821.75t=\frac{3.182}{1.75}
Sign in to unlock the answer
Answer from Sia
Posted 2 months ago
Solution by Steps
step 2
The estimate of the slope is given as 0.789 and the standard error of the slope is 0.237
step 3
We calculate the test statistic using the values from step 2: t=0.7890.237t = \frac{0.789}{0.237}
step 4
Using the asksia-ll calculator result, the calculation is t=0.7890.237=3.3291139240506329113924050632911392405063291139240506329113924050...t = \frac{0.789}{0.237} = 3.3291139240506329113924050632911392405063291139240506329113924050...
step 5
The test statistic is approximately t=3.33t = 3.33
Key Concept
Test Statistic for Slope in Regression
The test statistic for the slope in a regression analysis is found by dividing the estimated slope coefficient by its standard error.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Upgrade to Asksia Pro

Join a AskSia's Pro Plan, and get 24/7 AI tutoring for your reviews, assignments, quizzes and exam preps.

Unlimited chat query usages
Strong algorithms that better know you
Early access to new release features
Study Other Question