Regression Analysis Answers

The height, in meters, of a machine piston can be modeled by the regression equation y = 4.4sin(0.4x – 1.7) + 2.3, where x represents time, in seconds.To the nearest tenth of a meter, what is the height of the piston after 10 seconds?

The height of a plant, y, in centimeters, is measured x weeks after planting a seed. The height can be modeled by the regression equation y = . Which statement best interprets the value 6.88?

Review the table showing the height of a Ferris wheel seat over time.Time (Seconds)Height (Feet)0315102020242327243025382345166057512

Alexei writes the power regression equation y = 2.5x1.13 to model the time, in minutes, it takes him to complete level x of a video game. Based on the regression equation, approximately how many minutes will it take him to complete level 4 of the video game?

When running multiple machines in a factory, the total sound power in decibels (dB) can be estimated using the regression equation y = 119.06 + 10logx, where x represents the number of machines.What is the best estimate for the total sound power when 5 machines are running in the factory?

Using historical population data, Jasper determines the logistic regression equation y = for the population, in thousands of people, of his town after x years.To the nearest thousand people, what is the projected population 30 years from now?

Review the table forecasting a company’s profit based on the number of units sold.Number of UnitsProfit ($)500–10,0001,2003,0002,50027,0003,20040,0003,60045,0004,30047,0005,00045,0006,75020,000

A science class conducts an experiment using a falling object. The class determines that a quadratic regression equation y = –15.9x2 + 99.2 will model the height, in feet, of the object after x seconds. Based on this model, what is the approximate height of the object after 1.5 seconds?

The regression equation y = 8.6sin(0.24x – 1.88) + 62.8 models the Fahrenheit temperature in a room x hours after midnight. What is the maximum temperature in the room during the first 24 hours?

Review the table showing the balance in an investment account over time.Time (Years)Amount ($)130064447486957615990201,483252,200303,614355,833