Question

In an exponential regression model, the exact percentage of change can be calculated as: (exp(β1 ) − 1) × 100. If β1 = 0.23, what is the percent increase in E(y)?

a. 25%
b. 26%
c. 75%
d. 22%

Answer 1

The percent increase in E(y) is approximately 25.89%.

Step-by-step explanation:

In an exponential regression model, the exact percentage of change can be calculated as: (exp(β1 ) − 1) × 100.

If β1 = 0.23, we can calculate the percent increase in E(y) as follows:

(exp(0.23) − 1) × 100 = (1.2589 - 1) × 100

= 0.2589 × 100

= 25.89%

Therefore, the percent increase in E(y) is approximately 25.89%.

Answer 2

In an exponential regression model, the percent increase in E(y) can be calculated using the formula (exp(β1) - 1) × 100. For β1 = 0.23, the percent increase is approximately 25.89%.

Step-by-step explanation:

In an exponential regression model, the exact percentage of change can be calculated using the formula (exp(β1) - 1) × 100. In this case, β1 = 0.23, so the percent increase in E(y) can be calculated as:

(exp(0.23) - 1) × 100 = (1.2589 - 1) × 100 = 0.2589 × 100 = 25.89%.

Therefore, the percent increase in E(y) is approximately 25.89%.