Question

18. The relationship between forced expiratory volume (FEV), which is measured in liters, and age, which is measured in years, is evaluated in a random sample of 200 men between the ages of 20 and 60. A simple linear regression analysis is performed to predict FEV from age. The Intercept (constant) = 8.0 and the Regression coefficient (slope) for Age = 0.29.

a. Interpret the regression coefficient for age in words. [PLEASE PROVIDE RATIONALE]

b. Interpret the intercept (constant) in words. [PLEASE PROVIDE RATIONALE]

Answer #1

The strength of the relationship between two quantitative
variables can be measured by
the y-intercept of the simple linear regression
equation.
the slope of a simple linear regression equation.
both the coefficient of correlation and the coefficient of
determination.
the coefficient of determination.
the coefficient of correlation.

Researchers looked at other relationships between variables in
the body measurements data.
The following table shows results from a multiple linear
regression to predict average shoulder girth (in cm) based on
weight (in kg), age (in years) and sex (male coded as 1, female as
0). There are 3 questions following this table
Coefficients:
Estimate
Std.Error t-value
Pr(>|t|)
(Intercept) 76.38994 4.70490 16.236 0.00000
weight 0.43754 0.06790
6.443 0.00000
age -0.07985 0.07042 -1.134 0.262653
sex(male) 8.07123 2.13543
3.780
0.000451
1.Write...

In a study of whether a relationship exists between a child’s
aptitude and the age at which he/she first speaks, researchers
collected a random sample of 150 children and recorded the age (in
months) of a child’s first speech (x variable) and the child’s
score on an aptitude test (y-variable) The data were then used to
create a regression equation in which the slope was calculated to
be -1.25 and the y-intercept was calculated to be 109. What would
you...

A social scientist would Ilike to analyze the relationship
between educational attainment and salary. He collects a sample
data, where "Education" refers to years of higher education and
"Salary" is the individual's salary in thousands of dollars. The
summary statistics are as follow:
EDUCATION MEAN 4 ST DEV 2.45
SALARY MEAN 60.34 ST DEV 24
mean
st dev
4
2.45
60.34
24.95
According to the data, the correlation coefficient between
"Education" and "Salary" is 0.9212
a. Find a linear...

A study measured the relationship between the size of a truck’s
engine (in liters) and its fuel economy (in mpg). It found a
correlation coefficient of -0.9187, and a scatterplot of the data
appeared to be approximately linear.
Which of the statements below are true? Select
all that apply.
The correlation is strong, so even a small change in engine size
is likely to impact fuel economy.
In general, as engine size increases, fuel economy
decreases.
In general, as engine...

A sociologist wishes to study the relationship between happiness
and age. He interviews 24 individuals and collects data on age and
happiness, measured on a scale from 0 to 100. He estimates the
following model: Happiness = β0 +
β1Age + ε. The following
table summarizes a portion of the regression results.
Coefficients
Standard Error
t-stat
p-value
Intercept
56.184
5.2123
10.7791
0.0000
Age
0.2811
0.0887
3.1691
0.0023
At the 5% significance level, which of the following is the correct
confidence...

A researcher wants to determine the relationship between the
typing speed of administrative assistants at a major university is
related to the time that it takes for the admin assistant to learn
to use a new software program and may be used to predict learning
time. Data are gathered from 12 departments at the university.
Dept
Typing
speed
(words per minute)
Learning
time
(hours)
A
48
7
B
74
4
C
52
8
D
79
3.5
E
83
2
F...

A biologist looked at the relationship between number of seeds a
plant produces and the percent of those seeds that sprout. The
results of the survey are shown below.
Seeds Produced
62
41
55
50
47
54
41
63
46
Sprout Percent
54
67.5
63.5
67
59.5
58
65.5
50.5
54
Find the correlation coefficient:
r=r= Round to 2 decimal places.
The null and alternative hypotheses for correlation are:
H0:H0: ? ρ μ r == 0
H1:H1: ? ρ μ r ≠≠ 0...

A study was done to look at the relationship between number of
vacation days employees take each year and the number of sick days
they take each year. The results of the survey are shown below.
Vacation Days
0
1
4
9
13
13
15
1
6
9
Sick Days
9
12
10
5
5
1
0
6
4
6
Find the correlation coefficient: r=r= Round
to 2 decimal places.
The null and alternative hypotheses for correlation are:
H0:? r μ...

A study was done to look at the relationship between number of
movies people watch at the theater each year and the number of
books that they read each year. The results of the survey are shown
below.
Movies
5
8
8
8
1
5
5
9
4
Books
6
0
0
0
7
6
3
0
3
Find the correlation coefficient:
r=r= Round to 2 decimal places.
The null and alternative hypotheses for correlation are:
H0:H0: ? r μ ρ ==...

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