Question
In: Statistics and Probability
The table below gives the completion percentage and interception percentage for five randomly selected NFL quarterbacks....
The table below gives the completion percentage and interception percentage for five randomly selected NFL quarterbacks. Based on this data, consider the equation of the regression line, yˆ=b0+b1x y ^ = b 0 + b 1 x , for using the completion percentage to predict the interception percentage for an NFL quarterback. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Completion Percentage 56.9 56.9 57 57 59 59 60.9 60.9 63.2 63.2 Interception Percentage 4.9 4.9 3.8 3.8 3 3 2 2 1.4 1.4
Solutions
Expert Solution
Sol"
use lm function in R software to fit a regression equation.
y-Interception_Percentage
x-Completion_Percentage
use coeffcient to get the coeffcients
Regresion eq is
Interception_Percentage=32.349522-0.493763 *Completion_Percentage
Y intercept=32.349522
slope=-0.493763
ANSWER:
Interception_Percentage=32.349522-0.493763 *Completion_Percentage
orchestra answered 2 years agoRelated Solutions
The table below gives the completion percentage and interception percentage for five randomly selected NFL quarterbacks....
The table below gives the completion percentage and interception
percentage for five randomly selected NFL quarterbacks. Based on
this data, consider the equation of the regression line, y^=b0+b1x,
for using the completion percentage to predict the interception
percentage for an NFL quarterback. Keep in mind, the correlation
coefficient may or may not be statistically significant for the
data given. Remember, in practice, it would not be appropriate to
use the regression line to make a prediction if the correlation
coefficient...
The table below gives the completion percentage and interception percentage for five randomly selected NFL quarterbacks....
The table below gives the completion percentage and interception
percentage for five randomly selected NFL quarterbacks. Based on
this data, consider the equation of the regression line,
yˆ=b0+b1xy^=b0+b1x, for using the completion percentage
to predict the interception percentage for an NFL quarterback. Keep
in mind, the correlation coefficient may or may not be
statistically significant for the data given. Remember, in
practice, it would not be appropriate to use the regression line to
make a prediction if the correlation coefficient is...
The following table compares the completion percentage and interception percentage of 5 NFL quarterbacks. Completion Percentage...
The following table compares the completion percentage and
interception percentage of 5 NFL quarterbacks.
Completion Percentage
57
57
57
57
60
Interception Percentage
4.9
4.3
2.9
2.7
1.4
Step 1 of 5:
Calculate the sum of squared errors (SSE). Use the values
b0=47.4019 and b1=−0.7667 for the calculations. Round your answer
to three decimal places.
Step 2 of 5:
Calculate the estimated variance of errors, s2e . Round your
answer to three decimal places.
Step 3 of 5:
Calculate the...
The following table compares the completion percentage and interception percentage of 5 NFL quarterbacks. Completion Percentage...
The following table compares the completion percentage and
interception percentage of 5 NFL quarterbacks.
Completion Percentage 60 61 62 62 65 Interception Percentage 4.4
2.6 2.5 2.1 1.3
Step 4 of 5: Construct the 98% confidence interval for the
slope. Round your answers to three decimal places.
Step 5 of 5: Construct the 95% confidence interval for the
slope. Round your answers to three decimal places. Please help
The following table compares the completion percentage and interception percentage of 55 NFL quarterbacks. Completion Percentage...
The following table compares the completion percentage and
interception percentage of 55 NFL quarterbacks.
Completion Percentage
5858
5959
6161
6464
6565
Interception Percentage
4.54.5
44
3.53.5
3.53.5
3
Step 1 of 5 : Calculate the sum of squared errors (SSE). Use the
values b0=14.2608 b 1 = − 0.1720 for the calculations. Round your
answer to three decimal places
The following table compares the completion percentage and interception percentage of 5 NFL quarterbacks. Completion Percentage...
The following table compares the completion percentage and
interception percentage of 5 NFL quarterbacks. Completion
Percentage 58 59 62 64 66 Interception Percentage 4.6 4 3.6 1.8 1.4
Table Step 1 of 5: Calculate the sum of squared errors (SSE). Use
the values b0=28.0781 and b1=−0.4045 for the calculations. Round
your answer to three decimal places. Step 2: Calculate the
estimated variance of errors s^2e Step 3: Calculate the estimated
variance of slope s^2b1
The following table compares the completion percentage and interception percentage of 5 NFL quarterbacks. Completion Percentage...
The following table compares the completion percentage and
interception percentage of 5 NFL quarterbacks.
Completion Percentage
55
59
60
60
62
Interception Percentage
4.5
4.2
3.5
2.9
1.4
Step 1 of 5: Calculate the sum of squared errors (SSE). Use the
values b0=26.9386 and b1=−0.3993 for the calculations. Round your
answer to three decimal places.
Step 2 of 5: Calculate the estimated variance of errors, se2.
Round your answer to three decimal places.
Step 3 of 5: Calculate the estimated...
The following table compares the completion percentage and interception percentage of 5 NFL quarterbacks. Completion Percentage...
The following table compares the completion percentage and
interception percentage of 5 NFL quarterbacks.
Completion Percentage
59
59
59
60
61
Interception Percentage
4.5
3.9
3.4
2.1
2
Step 1 of 5: Calculate the sum of squared errors (SSE). Use the
values b0=67.2500 and b1=−1.0750 for the calculations. Round your
answer to three decimal places.
Step 2 of 5: Calculate the estimated variance of errors, s2e.
Round your answer to three decimal places
Step 3 of 5: Calculate the estimated...
The following table compares the completion percentage and interception percentage of 5 NFL quarterbacks. Completion Percentage ...
The following table compares the completion percentage and
interception percentage of 5 NFL quarterbacks.
Completion Percentage Interception Percentage
55 4.3
59 2.2
61 1.9
62 1.8
66 1.7
Step 1 of 5: Calculate the sum of squared errors (SSE). Use the
values b0=16.4513and b1=−0.2322 for the calculations. Round your
answer to three decimal places.
Step 2 of 5: Calculate the estimated variance of errors, se2.
Round your answer to three decimal places.
Step 3 of 5: Calculate the estimated variance...
The following table compares the completion percentage and interception percentage of 55 NFL quarterbacks. Completion Percentage...
The following table compares the completion percentage and
interception percentage of 55 NFL quarterbacks.
Completion Percentage
60
61
62
64
65
Interception Percentage
4.8
2.5
2.3
1.8
1.1
Step 4 of 5 :
Construct the 98% confidence interval for the slope. Round your
answers to three decimal places.
Step 5 of 5 :
Construct the 95% confidence interval for the slope. Round your
answers to three decimal places.
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