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1
. Solve the problem.
A ball is kicked upward with an initial velocity of
5
2
feet per secon
d.
The ball’s height, h (in feet), from the ground is modeled by
a. |
1.6 25 sec; 8 4 .5 ft |
c. |
3 .25 sec; 42.25 ft |
||||||||||||||||||
b. |
1.625 sec; 42.25 ft |
d. |
3.25 sec; 126. 75 ft |
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2. Make a scatter plot of the data below.
x |
y |
||||
25 |
1 5 0 |
||||
50 |
178 |
||||
75 |
216 |
||||
100 |
265 |
||||
125 |
323 |
||||
392 |
|||||
175 |
470.4 |
Use the
quadratic
regression feature of a graphing calculator to find a quadratic model. Round to the nearest thousdandths place.
3. What is the value of c in the given quadratic regression equation?
1 |
1.23 |
||
-0.19 |
0 | ||
4.
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.
2 | 3 | 4 | 5 | ||||
1.30 |
1.34 |
1.38 |
2.20 |
2.88 |
2.24 |
||
5.
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. How much time does the ball take to reach its highest point? What is its height at this point?
4.25 sec; 72.25 ft |
2.125 sec; 144.5 ft |
4.25 sec; 216.75 ft |
2.125 sec; 72.25 ft |
6.
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.)
281 days |
97 days |
135 days |
52 days |
7,
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?
All real numbers |
8.
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.
accurate |
quadratic |
scattered |
variable |
9.
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.
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.
2.82 |
3.29 |
3.46 |
3.33 |
a.
c.
b.
d.