Respuesta :
Answer:
a= 2.594
b= 2.705
c=2.718
d=2.718
e=2.718
Step-by-step explanation:
The entries to the nearest thousandth; a= 2.594, b= 2.705, c=2.718, d=2.718 and e=2.718.
How does linear regression works?
Firstly, there is a data set. Then, we try to fit a line which will tell about the linear trend. This line is made using the least squares method.
x y
1 2
10 a
100 b
10000 c
100000 d
1000000 e
The independent variable represented by x, and the dependent variable is represented by y.
Given: when x = 10
y = (1 + 1/10)^10
= (1 + 0.1)^10
= 1.1^10
= 2.5937424601
Approximately, 2.594
when x = 100
y = (1 + 1/100)^100
y = (1 + 0.01)^100
y = 1.01^100
= 2.70481
Approximately, 2.705
when x = 10,000
y = (1 + 1/10,000)^10,000
y = (1 + 0.0001)^10,000
= 1.0001^10,000
Approximately, 2.718
when x = 100,000
y = (1 + 1/100,000)^100,000
= (1 + 0.00001)^100,000
= 1.00001^100,000
Approximately, 2.718
when x = 1,000,000
y = (1 + 1/1,000,000)^1,000,000
= (1 + 0.000001)^1,000,000
= 1.000001^1,000,000
Approximately, 2.718
Hence, a= 2.594
b= 2.705
c=2.718
d=2.718
e=2.718
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