Question

The number of VHS movie rentals has declined since the year 2000 due to the popularity of DVDs, as the following table shows. The exponential regression equation was found to be y = 9.92 (0.8209)^x where x represents the number of years since 2000. Use the regression equation to predict the number of VHS movies in 2011.

a) 1.13 million
b) 0.929 million
c) 1.37 million
d) 3.7 million

Answer 1

To predict the number of VHS movies in 2011 using the regression equation, substitute the value of x as 11 and solve for y.

Step-by-step explanation:

To predict the number of VHS movies in 2011, we can substitute the value of x as 11 in the regression equation y = 9.92 (0.8209)^x. Note that x represents the number of years since 2000. So, x = 2011 - 2000 = 11. Now, substitute x = 11 into the equation:

y = 9.92 (0.8209)^11

y = 9.92 (0.573613)

y ≈ 5.69 million

Therefore, the predicted number of VHS movies in 2011 is approximately 5.69 million.