(b) Write down the Numeric value of very high leverage value threshold/cutoff for this model correct to 3 decimal places. 0.316 (c) Is there any value which qualify the very high leverage value of the model. ○ Don't know No ○ Yes (d) What value of i corresponds to the highest leverage value? 13 (e) Looking at the Leverage value Graph, what is the hat value of this very high leverage value? Give your answer correct to 2 decimal places. 0.25 Time left 0:45:02 (f) Estimate the probability of payment for a claim value 5.9 of a customer using the new model and give the upper and lower bounds of a 95% confidence interval for the estimate. Give your answers correct to 2 decimal places. newx=5.9 prob-predict(model,newdata-data.frame(x-newx), interval='confidence') Estimated Fitted value= 25.30 Lower Bound value = 21.85 Upper Bound value= 28.75 A sample of 19 claims and corresponding payments on settlement for household policies is taken from the business of an insurance company. The results and summary statistics were as follows: 2 0.2 0.5 0.7 2.5 2.9 3 4.3 5 5.1 5.7 6 6.8 78 8.2 8.5 9 13 y 5 7 12 11 13 20 19 19 25 25 25 5 30 30 32 30 33 42 42 42 44 11 Using the R commands mody=lm(y-x) hat hatvalues(mody) i=1:19 plot(i,hat,main="Leverage Values") Looking at the plot of Leverage values, do we have a high or very high Leverage value. Leverage Values hat 0.05 0.25 5 10 15 i (a) Write down the Numeric value of high leverage value threshold/cutoff for this model correct to 3 decimal places. 0.211

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...
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(b) Write down the Numeric value of very high leverage value threshold/cutoff for this model correct to 3 decimal places.
0.316
(c) Is there any value which qualify the very high leverage value of the model.
○ Don't know
No
○ Yes
(d) What value of i corresponds to the highest leverage value?
13
(e) Looking at the Leverage value Graph, what is the hat value of this very high leverage value? Give your answer correct to 2 decimal places.
0.25
Time left 0:45:02
(f) Estimate the probability of payment for a claim value 5.9 of a customer using the new model and give the upper and lower bounds of a 95% confidence interval for the
estimate. Give your answers correct to 2 decimal places.
newx=5.9
prob-predict(model,newdata-data.frame(x-newx), interval='confidence')
Estimated Fitted value= 25.30
Lower Bound value = 21.85
Upper Bound value= 28.75
Transcribed Image Text:(b) Write down the Numeric value of very high leverage value threshold/cutoff for this model correct to 3 decimal places. 0.316 (c) Is there any value which qualify the very high leverage value of the model. ○ Don't know No ○ Yes (d) What value of i corresponds to the highest leverage value? 13 (e) Looking at the Leverage value Graph, what is the hat value of this very high leverage value? Give your answer correct to 2 decimal places. 0.25 Time left 0:45:02 (f) Estimate the probability of payment for a claim value 5.9 of a customer using the new model and give the upper and lower bounds of a 95% confidence interval for the estimate. Give your answers correct to 2 decimal places. newx=5.9 prob-predict(model,newdata-data.frame(x-newx), interval='confidence') Estimated Fitted value= 25.30 Lower Bound value = 21.85 Upper Bound value= 28.75
A sample of 19 claims and corresponding payments on settlement for household policies is taken from the business of an insurance company. The results and summary statistics
were as follows:
2
0.2
0.5
0.7
2.5
2.9
3
4.3 5 5.1
5.7
6 6.8
78
8.2
8.5
9 13
y
5
7
12
11 13
20
19
19
25
25
25
5
30
30
32 30
33
42 42
42
44
11
Using the R commands
mody=lm(y-x)
hat hatvalues(mody)
i=1:19
plot(i,hat,main="Leverage Values")
Looking at the plot of Leverage values, do we have a high or very high Leverage value.
Leverage Values
hat
0.05
0.25
5
10
15
i
(a) Write down the Numeric value of high leverage value threshold/cutoff for this model correct to 3 decimal places.
0.211
Transcribed Image Text:A sample of 19 claims and corresponding payments on settlement for household policies is taken from the business of an insurance company. The results and summary statistics were as follows: 2 0.2 0.5 0.7 2.5 2.9 3 4.3 5 5.1 5.7 6 6.8 78 8.2 8.5 9 13 y 5 7 12 11 13 20 19 19 25 25 25 5 30 30 32 30 33 42 42 42 44 11 Using the R commands mody=lm(y-x) hat hatvalues(mody) i=1:19 plot(i,hat,main="Leverage Values") Looking at the plot of Leverage values, do we have a high or very high Leverage value. Leverage Values hat 0.05 0.25 5 10 15 i (a) Write down the Numeric value of high leverage value threshold/cutoff for this model correct to 3 decimal places. 0.211
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