Question
In: Statistics and Probability
Complete a simple linear regression on the following data from a random survey of a random...
- Complete a simple linear regression on the following data from a random survey of a random sample of free throws made out of 100:
Age (in years) # of Free throws made (out of 100)
20 30
22 36
26 28
28 20
33 25
33 15
38 10
42 25
49 8
54 15
55 22
55 18
57 35
60 12
Provide the equation of the linear regression line (3
pts):
Provide the coefficient of correlation (2 pts):
How many would free throws would you expect a 42 year old to make
(2 pts):
What is the residual for the 42 year old we sampled (2 pts):
Solutions
Expert Solution
The statistical software output for this problem is :
The equation of the linear regression line is : y = 31.974 - 0.260 X
coefficient of correlation = -0.41
Free throws = 21.06
Residual = 25 - 21.06 = 3.96
orchestra answered 1 year agoRelated Solutions
Complete a simple linear regression on the following data from a random survey of a random...
Complete a simple linear regression on the following data from
a random survey of a random sample of free throws made out of
100:
Age (in
years) # of
Free throws made (out of 100)
20
30
22
36
26
28
28
20
33
25
33
15
38
10
42
25
49
8
54
15
55
22
55
18
57
35
60
12
Provide the equation of the linear regression line (3
pts):
Y = a + bX...
Which of the following is the complete definition of the simple linear regression model?
Which of the following is the complete definition of the simple
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The simple linear regression of the data on $Sales and number of customers produced the following...
The simple linear regression of the
data on $Sales and number of customers produced the following ANOVA
output:
ANOVA
Source
df
SS
MS
F
Significance F
Regression
46833541
Residual
Total
51360495
Complete as much of the ANOVA table as
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The calculated value of the test statistic used to test the
following null and alternative hypotheses
Ho: The overall regression model is
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Ha: The overall regression model...
Problem You will complete a question about Correlation Examples and complete a Simple Linear Regression. For...
Problem
You will complete a question about Correlation
Examples and complete a Simple Linear
Regression. For the Simple Linear
Regression, make sure to complete the following steps:
Construct a scatter plot.
Find the equation of the regression line.
Predict the value of y for each of the x-values.
Use this resource: Regression
Give an example of two variables that have a positive linear
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Simple Linear Regression: Suppose a simple linear regression analysis provides the following results: b0 = 6.000, b1...
Simple Linear Regression: Suppose a simple
linear regression analysis provides the following
results:
b0 = 6.000, b1 =
3.000, sb0 =
0.750,
sb1 =
0.500, se = 1.364
and n = 24. Use this information to answer the following
questions.
(a) State the model equation.
ŷ = β0 + β1x
ŷ = β0 + β1x +
β2sb1
ŷ = β0 + β1x1 +
β2x2
ŷ = β0 +
β1sb1
ŷ = β0 +
β1sb1
x̂ = β0 +
β1sb1
x̂ = β0 +...
Use Excel to estimate a simple linear regression model for the following data (Y is a...
Use Excel to estimate a simple linear regression model for the
following data (Y is a dependent variable and X is an independent
variable):
Y
X
0
-2
0
-1
1
0
1
1
3
2
Fill in Multiple Blanks:
What is the slope of the estimated line? In your
answer, show one (1) digit to the right of the
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What is the Y-intercept?
Complete the following answers to the ANOVA summary table for a simple linear regression. SSError=120, SST=480,...
Complete the following answers to the ANOVA summary table for a
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SST=480, and dfT=7.
Source
SS
df
MS
F
Regression
Error
120
Total
480
7
SSRegression=?
dfRegression=?
dfError=?
MSRegression=?
MSError=?
F=?
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In a simple linear regression, if we scale the data by a negative number, does the...
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