To graph: The scattered plot of given data using graphing utility by treating median age x as the independent variable. The table is Age Range Median Age, x Percent stopped, y 16 − 19 17.5 18.2 20 − 29 24.5 16.8 30 − 39 34.5 11.3 40 − 49 44.5 9.4 50 − 59 54.5 7.7 ≥ 60 69.5 3.8
To graph: The scattered plot of given data using graphing utility by treating median age x as the independent variable. The table is Age Range Median Age, x Percent stopped, y 16 − 19 17.5 18.2 20 − 29 24.5 16.8 30 − 39 34.5 11.3 40 − 49 44.5 9.4 50 − 59 54.5 7.7 ≥ 60 69.5 3.8
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
Chapter 5, Problem 16CR
(a)
To determine
To graph: The scattered plot of given data using graphing utility by treating median age x as the independent variable. The table is
Age RangeMedian Age, xPercent stopped, y16−1917.518.220−2924.516.830−3934.511.340−4944.59.450−5954.57.7≥6069.53.8
(a)
Expert Solution
Explanation of Solution
Given information:
The table
Age RangeMedian Age, xPercent stopped, y16−1917.518.220−2924.516.830−3934.511.340−4944.59.450−5954.57.7≥6069.53.8
Graph:
Step-1: Plug the median price, x values in L1 list and percent stopped, y values in the L2 list of the graphing calculator.
Step-2: Go to [2nd]≫[STAT PLOT] make Plot1 ON.
Step-3: Click on [Zoom]≫ZoomStat
Therefore, the scattered plot of the given data is
Interpretation:
The scattered plot is showing behavior like graph of the quadratic function. Therefore, the relation between median price, x values and percent stopped, y would be given by the quadratic function polynomial function.
(b)
To determine
The best fit model that describes the relation between values of the median price, x and percent stopped, y .The table is
Age RangeMedian Age, xPercent stopped, y16−1917.518.220−2924.516.830−3934.511.340−4944.59.450−5954.57.7≥6069.53.8
(b)
Expert Solution
Answer to Problem 16CR
Solution:
The best fit function for data is y=0.0022398179x2−0.4721408517x+26.04517861 .
Explanation of Solution
Given information:
The table
Age RangeMedian Age, xPercent stopped, y16−1917.518.220−2924.516.830−3934.511.340−4944.59.450−5954.57.7≥6069.53.8
To find the equation of the best fit model for this data using graphing calculator press
[STAT]≫CALC ≫QuadReg ≫ Calculate .
Therefore, the best fit function for the given data is
y=0.0022398179x2−0.4721408517x+26.04517861
(c)
To determine
The justification for the model for the given data.The table is
Age RangeMedian Age, xPercent stopped, y16−1917.518.220−2924.516.830−3934.511.340−4944.59.450−5954.57.7≥6069.53.8
(c)
Expert Solution
Answer to Problem 16CR
Solution:
Justification: As the graph of the quadratic function shows similar behavior like the scattered plot, that is why, the quadratic function is the best fit function for this given data values.
Explanation of Solution
Given information:
The data is
Age RangeMedian Age, xPercent stopped, y16−1917.518.220−2924.516.830−3934.511.340−4944.59.450−5954.57.7≥6069.53.8
Graph the scattered plot and the best fit function y=0.0022398179x2−0.4721408517x+26.04517861 on the same xycoordinate system.
In the graphing calculator, press [Y=] , then type the function y=0.0022398179x2−0.4721408517x+26.04517861 under Y1 .
Then, click on [GRAPH] button
That gives the graph,
As the graph of the quadratic function shows similar behavior like the scattered plot, that is why, the quadratic function is the best fit function for this given data values.
Precalculus Enhanced with Graphing Utilities (7th Edition)
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