Question

The fitted regression Computer power dissipation - 16.37 +0.052 Microprocessor speed, where Computer power dissipation is measured in watts and Microprocessor speed is measured in MHz. (a-1) If Microprocessor speed=1 MHz, then Computer power dissipation= watts. (Round your answer to 3 decimal places.) (a-2) Choose the correct statement. O A decrease in microprocessor speed increases the computer power dissipation. O An increase in the microprocessor speed decreases the computer power dissipation. An Increase in the microprocessor speed increases the computer power dissipation. watts. (Round your answer to 2 decimal places.) (b) If Microprocessor speed 4,000 MHz, then Computer power dissipation- (c) Choose the right option. The intercept would be meaningful because you would have a computer with zero speed. The Intercept would not be meaningful because you would not have a computer with zero speed.

Answer 1

The power dissipation at 1 MHz is 16.422 watts. An increase/decrease in microprocessor speed increases/decreases the computer power dissipation respectively. For a speed of 4,000 MHz, the power dissipation is 224.37 watts, and the intercept is not meaningful because a computer cannot have zero speed.

Step-by-step explanation:

The fitted regression equation for Computer power dissipation is given as Computer power dissipation = 16.37 + 0.052 × Microprocessor speed (where power is in watts and speed is in MHz).

1. If the Microprocessor speed is 1 MHz, then the Computer power dissipation can be calculated by substituting the speed into the equation as follows: Computer power dissipation = 16.37 + 0.052 × 1 = 16.422 watts (rounded to three decimal places).
2. If we analyze the equation, an increase in microprocessor speed by a certain amount will result in an increase in computer power dissipation by that amount times 0.052. Therefore, an increase in microprocessor speed increases the computer power dissipation, and conversely, a decrease in microprocessor speed decreases the power dissipation.
3. When the Microprocessor speed is 4,000 MHz, the Computer power dissipation = 16.37 + 0.052 × 4,000 = 16.37 + 208 = 224.37 watts.
4. The intercept of the regression equation represents the estimated Computer power dissipation when the Microprocessor speed is zero. In a practical sense, this scenario is not meaningful because it implies a computer with zero speed, which is not a real-world case. Hence, the intercept is not meaningful in the context of actual computers.