Answered: esearchers used weight in Kilograms (Y)…

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

Researchers used weight in Kilograms (Y) as a dependent variable and Lean Body Weight (X₁) and Mean Daily Caloric Intake (X₂) as independent variables.

a. Is the coefficient of Mean Daily Caloric Intake statistically distinguishable from 0?

b. Perform a hypothesis test.

c. Write the regression equation based on the results

d. What is the predicted value of the weight of an obese girl if her lean body weight is 50.0 and mean daily caloric intake is 2000?

e. What assumptions must be made in this experiment? Are they satisfied?

f. Calculate the R² value? Interpret it.

g. Would you recommend the model? Why or why not?

The following data were collected on 15 obese girls:
Weight in
Kilograms
Lean Body
Weight
(X1)
Mean Daily
Caloric Intake
(Y)
(X2)
79.2
54.3
2670
64.0
44.3
820
67.0
47.8
1210
78.4
53.9
2678
66.0
47.5
1205
63.0
43.0
815
65.9
47.1
1200
63.1
44.0
1180
73.2
44.1
1850
66.5
48.3
1260
61.9
43.5
1170
72.5
43.3
1852
101.1
66.4
1790
66.2
47.5
1250
99.9
66.1
1789
Total 1087.9
741.1
22739

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 8 steps with 5 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