Question
In: Statistics and Probability
(a)What is the explanatory variable and the response variable? (b) Find the correlation between boat registrations...
(a)What is the explanatory variable and the response
variable?
(b) Find the correlation between boat registrations and manatee
deaths. (Round to the hundredths place.)
(c) What percent of the variation in manatees killed is explained by the model?
(d) Find the least squares regression line for these data. (Round all values to the hundredths place.)
(e) Predict how many manatees may die if 792 boats are registered. (Round to the nearest whole number.)
| Year | manatees killed | powerboat registration |
| 1995 | 50 | 711 |
| 1996 | 47 | 719 |
| 1997 | 53 | 716 |
| 1998 | 38 | 716 |
| 1999 | 35 | 716 |
| 2000 | 49 | 735 |
| 2001 | 81 | 860 |
Solutions
orchestra answered 1 year agoRelated Solutions
b) In the following examples, identify the response variable and the explanatory variables illustrating their levels...
b) In the following examples, identify the response variable and
the explanatory variables illustrating their levels of
measuremsnt
i) Marital status (married, single, divorced,
widowed), Quality of life (excellent, good, fair, poor).
ii) presence of a disease( Presnet, Absent) , gender ( male,
Female),
In a series of projects I determined linear correlation coefficients between various explanatory and response variables....
In a series of projects I determined linear correlation
coefficients between various explanatory and response variables.
Rank projects thru 5 in order of the increasing strength of
correlation.
Project number
r
1
-0.3
2
0.5
3
-1.0
4
0.9
5
0
What does r measure?
Given the following values of x and y, and using y as the
response variable, find the regression line that best fits the
data.
x
Y
3
8
5
17
6
20
12
42
16...
1) In each scenario below, specify each variable as a response variable, an explanatory variable, or...
1) In each scenario below, specify each variable as a response
variable, an explanatory variable, or neither.
a. A researcher collects measurements of VO2 max and resting
heart rate on a group of
subjects to study the relationship between these two variables.
b. A real estate agent wants to be able to predict selling
prices of houses in Vancouver. He
collects data on 100 recently sold houses, recording their selling
prices, size, age, number
of bedrooms, and whether they had...
In each scenario below, specify each variable as a response variable, an explanatory variable, or neither....
In each scenario below, specify each variable as a response
variable, an explanatory variable, or neither. Explain your
choices.
a. A climatologist wishes to predict future monthly rainfall in
Los Angeles. To inform his predictive model, for each month of the
past 30 years, he records the name of the month (Jan.-Dec.), total
rainfall (mm), and the Oceanic Niño Index (a measure of sea surface
temperature differences, in ºC).
b. A researcher conducts an experiment in a residence for senior...
a)By hand, draw a scatter diagram treating x as the explanatory variable and y as the response variable
x
4
5
6
8
9
y
6
8
11
14
16
a)By hand, draw a scatter diagram treating x as the explanatory
variable and y as the response variable
b)Find the equation of the line containing the points (44,66)
and (9,16).
c)Graph the line found in part (b) on the scatter diagram.
d)By hand, determine the least-squares regression line.
e)Graph the least-squares regression line on the scatter
diagram.
f)Compute the sum of the squared residuals for the line found...
Consider a binary response variable y and an explanatory variable x. The following table contains the...
Consider a binary response variable y and an
explanatory variable x. The following table contains the
parameter estimates of the linear probability model (LPM) and the
logit model, with the associated p-values shown in
parentheses.
Variable
LPM
Logit
Constant
−0.78
−5.90
(0.03
)
(0.03
)
x
0.04
0.28
(0.07
)
(0.02
)
a. Test for the significance of the intercept and
the slope coefficients at the 5% level in both models.
Coefficients
LPM
Logit
Intercept
Slope
b. What is the...
Consider a binary response variable y and an explanatory variable x. The following table contains the...
Consider a binary response variable y and an
explanatory variable x. The following table contains the
parameter estimates of the linear probability model (LPM) and the
logit model, with the associated p-values shown in
parentheses.
Variable
LPM
Logit
Constant
−0.70
−6.60
(0.03
)
(0.03
)
x
0.04
0.18
(0.04
)
(0.03
)
a. Test for the significance of the intercept and
the slope coefficients at the 5% level in both models.
coefficient
LPM
Logit
intercept
slope
b. What is the...
1. Give an example of correlation and causation in which the explanatory variable directly causes a...
1. Give an example of correlation and causation in which the
explanatory variable directly causes a change in the response
variable.
2. Next, give an example of correlation and non-causation in
which the two variables are correlated but no direct
cause-and-effect relationship exists between the two variables.
17.3 Consider a binary response variable y and an explanatory variable x. The following table contains...
17.3
Consider a binary response variable y and an
explanatory variable x. The following table contains the
parameter estimates of the linear probability model (LPM) and the
logit model, with the associated p-values shown in
parentheses.
Variable
LPM
Logit
Constant
−0.69
−6.30
(0.04)
(0.06)
x
0.05
0.15
(0.07)
(0.06)
a.
Test for the significance of the intercept and the slope
coefficients at a 5% level in both models.
Coefficients
LPM
Logit...
Given the following data where city MPG is the response variable and weight is the explanatory...
Given the following data where city MPG is the response
variable and weight is the explanatory variable, explain why a
regression line would be appropriate to analyze the relationship
between these variables:
Model
City MPG
Weight
Mazda MX-5 Miata
25
2365
Mercedes/Benz SLK
22
3020
Mitsubishi Eclipse
23
3235
Pontiac Firebird
18
3545
Porsche Boxster
19
2905
Saturn SC
27
2420
Construct the regression line for this data.
Interpret the meaning of the y-intercept and the slope within
this scenario....
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