Some people don’t gain weight even when they overeat. Perhaps fidgeting and other “nonexercise activity" (NEA) explains why – the body might spontaneously increase nonexercise activity when fed more. Researchers deliberately overfed 16 healthy young adults for 8 weeks. They measured fat gain (y, in kilograms) and increase in energy use (NEA) (x, in calories), as an explanatory variable, from activity other than deliberated exercise – fidgeting, daily living, and the like. Here are the data (sorted by NEA): NEA increase-94 -57 -29 135 143 151 245 355 ... 620 690 Fat gain 4.2 3.0 3.7 2.7 3.2 3.6 2.4 1.3 2.3 1.1 Assume that the model Fat gain = Bo +B,NEA increase +ɛ is reasonable. Selected SAS output are given here. Root MSE 0.73985 R-Square 0.6061 2.38750 Adj R-Sq 0.5780 Dependent Mean Coeff Var 30.98860 Parameter Estimates Variable DF Parameter Estimate Standard Error t Value Pr > [t]| Intercept 3.50512 0.30362 11.54 <.0001 nea 1 -0.00344 0.00074141 -4.64 0.0004 (a) Find the average fat gain (in grams) for these 16 healthy young adults. (b) Find the estimated standard error of the regression model. (c) Use the model to estimate, if appropriate, the fat gain for Max who has a NEA value of 1000 calories. Repeat the estimate for Jimmy, who has a NEA value of 500 calories.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

Some people don't gain weight even when they overeat. Perhaps fidgeting and other “nonexercise activity"
(NEA) explains why – the body might spontaneously increase nonexercise activity when fed more. Researchers
deliberately overfed 16 healthy young adults for 8 weeks. They measured fat gain (y, in kilograms) and increase
in energy use (NEA) (x, in calories), as an explanatory variable, from activity other than deliberated exercise –
fidgeting, daily living, and the like. Here are the data (sorted by NEA):
NEA increase
-94
-57
-29 135
143
151
245 355
620 690
Fat gain
4.2
3.0
3.7 2.7
3.2
3.6
2.4
1.3
2.3
1.1
Assume that the model Fat gain= Bo +B,NEA increase +ɛ is reasonable. Selected SAS output are given here.
0.73985 R-Square 0.6061
2.38750 Adj R-Sq 0.5780
Root MSE
Dependent Mean
Coeff Var
30.98860
Parameter Estimates
Variable
DF
Parameter Estimate
Standard Error
t Value
Pr > It|
Intercept
1
3.50512
0.30362
11.54
<.0001
1
-0.00344
0.00074141
-4.64
0.0004
nea
(a) Find the average fat gain (in grams) for these 16 healthy young adults.
(b) Find the estimated standard error of the regression model.
(c) Use the model to estimate, if appropriate, the fat gain for Max who has a NEA value of 1000 calories.
Repeat the estimate for Jimmy, who has a NEA value of 500 calories.
(d) Find the value of the coefficient of determination, and interpret it to the context.

Expert Solution

Step 1

Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-parts solved please repost the complete question and mention the sub-parts to be solved.

Model is given as,

$F a t g a i n = β_{0} + β_{1} N E A i n c r e a s e$

SAS outputs are given,

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Correlation, Regression, and Association$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions