An insurance company collects a random sample of 74 male clients between the ages of 40 and 64 who are smokers and compares their body mass index (BMI) to the value of their insurance claims during the previous 60 months. The graph below includes the results of a linear regression using this data. (For example, the client identified with the grey square in the graph has a BMI of 29.28 and has cost the insurance company $22,411 over the previous 60 months.) Insurance Charges ($$) 70000 60000 50000 40000 30000 20000 10000 0 Males Smokers, aged 40 to 64 y= 1487x-9399.7 R² = 0.6501 18 23 28 33 38 43 BMI Interpret the value of the slope of the regression line in the context of this question. (See your lecture notes for a model response.)
An insurance company collects a random sample of 74 male clients between the ages of 40 and 64 who are smokers and compares their body mass index (BMI) to the value of their insurance claims during the previous 60 months. The graph below includes the results of a linear regression using this data. (For example, the client identified with the grey square in the graph has a BMI of 29.28 and has cost the insurance company $22,411 over the previous 60 months.) Insurance Charges ($$) 70000 60000 50000 40000 30000 20000 10000 0 Males Smokers, aged 40 to 64 y= 1487x-9399.7 R² = 0.6501 18 23 28 33 38 43 BMI Interpret the value of the slope of the regression line in the context of this question. (See your lecture notes for a model response.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:An insurance company collects a random sample of 74 male clients between the ages of 40 and 64
who are smokers and compares their body mass index (BMI) to the value of their insurance claims
during the previous 60 months.
Transcribed Image Text:The graph below includes the results of a linear regression using this data. (For example, the client
identified with the grey square in the graph has a BMI of 29.28 and has cost the insurance
company $22,411 over the previous 60 months.)
Insurance Charges ($$)
70000
60000
50000
40000
30000
20000
10000
0
Males Smokers, aged 40 to 64
y= 1487x-9399.7
R² = 0.6501
18
23
28
33
38
43
BMI
Interpret the value of the slope of the regression line in the context of this question. (See your
lecture notes for a model response.)
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