Regression Analysis Answers

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?

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?

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

Yuki collects data on the average number of sunlight hours per month. She determines the regression model y = –2.8sin(0.65x + 120.2) + 12.2 to represent the data, where x = 1 represents January.Based on the regression model, what is the best estimate for the average number of sunlight hours she can expect each day in June?

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?

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 of values showing the number of days each year from 1990 to 1997 that air quality in San Diego did not meet federal air quality standards.Years since 1989Number of Days139227319414596127281

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?

Review the table showing average monthly temperatures in degrees Fahrenheit for several months, where x = 1 represents January.MonthAverage Monthly Temperature (°F)1583604646687708739711255

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?

Review the table showing the mass of a radioactive isotope over time.Time (Seconds)Mass (Grams)210.558.587106154.5183.5