Quadratic Regression Models Answers

The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city. Use a graphing calculator to determine the quadratic regression equation for this data set. x 0 1 2 3 4 5 y 2.82 3.29 3.46 3.33 2.88 2.24 a. c. b. d. Please select the best answer from the choices provided

Fill in the blank by choosing the most appropriate word.Regression equations are usually used to predict values of unavailable data. If the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. The more closely data fit a model, the more _______________ predicted values will be.a.accurateb.quadraticc.scatteredd.variable

The Air Quality Index, or AQI, measures how polluted the air is in your city and assigns a number based on the quality of the air. Over 100 is "Unhealthy". The following quadratic regression equation, models the AQI over time, where n represents the number of days the AQI exceeded 100, and t represents the number of years since 1990. Estimate the number of days the AQI exceeded 100 in the year 2002. Round to the nearest whole day. (Hint: t = 0 corresponds to the year 1990.) a. 281 days b. 97 days c. 135 days d. 52 days Please select the best answer from the choices provided

The data set represents a progression of hourly temperature measurements.Use the regression equation to predict the temperature during the sixth hour. x 0 1 2 3 4 5 y 20 16 10 0 -7 -20 a. -24 c. -25 b. -15 d. -32 Please select the best answer from the choices provided

The Air Quality Index, or AQI, measures how polluted the air is in your city and assigns a number based on the quality of the air. Over 100 is “Unhealthy”. The following quadratic regression equation gives us an estimate of n, which is the number of days the AQI exceeded 100 a particular year. We will use this equation to estimate the number of days the AQI was over 100 in the year 1995. (Let t represent the number of years since 1990. Therefore, t = 0 corresponds to the year 1990. For the estimate of n, round to the nearest whole day.) a. 18 days b. 24 days c. 182 days d. 72 days Please select the best answer from the choices provided

Solve the problem. A jump rope held stationary by two children, one at each end, hangs in a shape that can be modeled by the equation , where h is the height (in inches) above the ground and x is the distance (in inches) along the ground measured from the horizontal position of one end. How close to the ground is the lowest part of the rope? a. 2 in. c. 2.25 in. b. 3 in. d. 1.5 in. Please select the best answer from the choices provided

Suppose that a water fountain produces a stream of water that follows the shape of a parabola. Assigning the origin of a coordinate system to the point where the water stream emerges from the fountain, a measurement shows that the maximum height of the stream occurs at the point (6, 5). Use symmetry to identify a third point and find a quadratic regression equation for the stream of water. a. c. b. d. Please select the best answer from the choices provided

The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city. Use a graphing calculator to determine the quadratic regression equation for this data set. x 0 1 2 3 4 5 y 1.30 1.34 1.38 2.20 2.88 2.24 a. c. b. d. Please select the best answer from the choices provided

Solve the problem. A ball is kicked upward with an initial velocity of 68 feet per second. The ball's height, h (in feet), from the ground is modeled by , where t is measured in seconds. What is the practical domain in this situation? a. c. All real numbers b. d. Please select the best answer from the choices provided

Make a scatter plot of the data below. x y 25 150 50 178 75 216 100 265 125 323 150 392 175 470.4 Using the quadratic regression equation predict what the y-value will be if the x-value is 200. a. y = 83.5 b. y = 346.9 c. y = 238.1 d. y = 555.5 Please select the best answer from the choices provided