Question

For an exponential regression equation in the form y=ab^x which of the following values of b will cause y to get smaller as x gets larger?

a.) 1.526
b.) 1.798
c.) 2.526
d.) 0.798

Answer 1

Correct answer is option d.

Explanation:

In exponential regression in the form y = ab∧x , the value of b which will cause y to get smaller as x get larger is the value with decimals and less than one. In the given options we have value less than one is option d which is 0.798. Therefore, correct answer for given question is option d that is 0.798.

Answer 2

d) 0.798

Explanation:

Since we know that an exponential function is in form:
`y=a*b^x`, where,

a= Initial value,

b = For growth b is in form (1+r), where r is rate in decimal form.

b = For decay or regression b is less than 1 and in form (1-r), where r is rate in decimal form.

Upon looking at our given choices we can see that options a, b and c are in form 1+r, while choice provided in option d is less than 1 and in form 1-r, therefore, option d is the correct choice.