Question
In: Math
Applications that do not violate the OLS assumptions for inference. Identify the response and explanatory variable(s)...
Applications that do not violate the OLS assumptions for inference. Identify the response and explanatory variable(s) for each problem. Write the OLS assumptions for inference in the context of each study.
- Cricket Chirps. Researchers record the number of cricket chirps per minute and temperature during that time to investigate whether the number of chirps varies with the temperature.
- Women’s Heights. A random selection of women aged 20-24 years are selected and their shoe size is used to predict their height
Solutions
milcah answered 1 year agoRelated Solutions
Applications that do violate the OLS assumptions for inference. All of the examples in this section...
Applications that do violate the OLS assumptions for
inference. All of the examples in this section have at
least one violation of the OLS assumptions for inference. Begin by
identifying the response and explanatory variables. Then, identify
which OLS assumption(s) are violated.
Clinical Trial I. A Phase II clinical trial is
designed to compare the number of patients getting relief at
different dose levels. 100 patients get dose A, 100 get dose B, and
100 get dose C.
Canoes and...
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),
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...
Provide an example regression equation from your notes and based on that, provide which is/are the explanatory variable(s) and which is the response variable.
Part 1. Provide an example regression equation from your notes and based on that, provide which is/are the explanatory variable(s) and which is the response variable.
Part 2 Contrast confounding and effect modification.
Part 3. Explain what you are looking for in a residual plot?
Part 4 What is R squared? Provide an example interpretation from a multivariate regression model.
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...
(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...
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...
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...
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