Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

A high-school administrator who is concerned about the amount of sleep the students in his district are getting selects a random sample of 14 seniors in his district and asks them how many hours of sleep they get on a typical school night. He then uses school records to determine the most recent grade-point average (GPA) for each student. Here is the regression output. Assume the conditions for inference are met. 1.

Predictor Coef SE Coef T P
Constant 2.6476 0.3281 8.07 0.000
Sleep 0.10176 0.04347 **** *****

S = 0.1804
R-Sq = 31.3%
R-Sq(adj) = 25.6%

Required:
Predict the GPA for a senior in this district who gets 8 hours of sleep on a typical school night.

Sagot :

fichoh

Answer:

3.46

Step-by-step explanation:

Given the regression output :

Predictor Coef ___SE __ Coef __ T ___ P

Constant 2.6476_0.3281_ 8.07 0.000

Sleep 0.10176 0.04347 **** *****

S = 0.1804

R-Sq = 31.3%

R-Sq(adj) = 25.6%

The regression equation which models the relationship between hours of sleep a student gets and his GPA can be obtained from the regression output :

The GPA is the dependent, y variable

Hours of sleep is the independent, x variable

y = 0.10176x + 2.6476

Hence, the GPA of a student who gets 8 hours of sleep on a typical school can be computed thus ;

Hours of sleep, x = 8

y = 0.10176(8) + 2.6476

y = 0.81408 + 2.6476

y = 3.46168

Thus, predicted GPA = 3.46

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.