Determine the exponential regression of the data below using either a calculator or spreadsheet program. Round the values in the regression equation to two decimals. Then, estimate the y value when the x value is 100. Round your answer to one decimal place. (14,500),(23,320),(37,150),(41,87), (56,40),(70,21)

Y = 1148.92(0.94^x) ; Y = 2.4

Step-by-step explanation:

Given the following data :

(14,500),(23,320),(37,150),(41,87),(56,40),(70,21)

X:

14

23

37

41

56

70

Y:

500

320

150

87

40

21

The exponential regression equation is expressed in the form :

Y = AB^x

A = Initial value

B = rate ; x = time

Using the online exponential regression calculator on the data provided :

Y = 1148.92(0.94^x)

Y = prediction

Estimate y, when x = 100

Y = 1148.92(0.94^100)

Y = 1148.92(0.0020548)

Y = 2.360800816

Y = 2.4

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %

the answer is d

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