Regression Analysis — Quiz Answers

Which regression equation best models the data?

A science class conducts an experiment using a falling object. The class determines that a quadratic regression equation y is equal to negative 15 point 9 x squared plus 99 point 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 point 5 seconds?

Alexei writes the power regression equation y is equal to 2 point 5 x raised to the 1 point 1 3 power 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?

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 is equal to the fraction with numerator 6 point 8 8 and denominator 1 plus 2 comma 139 point 9 9 e raised to the negative 0 point 4 7 x power Which statement best interprets the value 6 point 8 8 ?

The height, in meters, of a machine piston can be modeled by the regression equation y is equal to 4 point 4 sine open paren 0 point 4 x minus 1 point 7 close paren plus 2 point 3 , where x represents time, in seconds. To the nearest tenth of a meter, what is the height of the piston after 10 seconds?

Using historical population data, Jasper determines the logistic regression equation y is equal to the fraction with numerator 214 and denominator 1 plus 16 point 4 e raised to the negative 0 point 0 5 x power 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?

The regression equation y is equal to 8 point 6 sine open paren 0 point 2 4 x minus 1 point 8 8 close paren plus 62 point 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?

The quadratic regression equation y is equal to negative 0 point 1 x squared plus 143 point 9 9 x minus 13 comma 242 point 8 4 models expected company profits in terms of the number of pairs of shoes sold. Based on the regression equation, approximately how much profit can the company expect if it sells 400 pairs of shoes?

When running multiple machines in a factory, the total sound power in decibels (dB) can be estimated using the regression equation y is equal to 119 point 0 6 plus 10 log x , 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?

Yuki collects data on the average number of sunlight hours per month. She determines the regression model y is equal to negative 2 point 8 sine open paren 0 point 6 5 x plus 120 point 2 close paren plus 12 point 2 to represent the data, where x is equal to 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?