Math III Accelerated Chapter 11 Data Analysis and Statistics 1.
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Transcript of Math III Accelerated Chapter 11 Data Analysis and Statistics 1.
1
Math III Accelerated
Chapter 11Data Analysis and Statistics
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Warm Up 11.5 Find the value of y if x = 15.
xxy
y
xxy
x
9.163.57.3
878.03.68.2
2.107.005.0.1
2
2
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11.5 Modeling Two-Variable Data
Objective: Create regression equations for data.
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Types of Functions We use different types of functions to model data.
Given a set of (x, y) points, we will use the graphing calculator to create a modeling equation.
Function General Form
Linear y = ax + b
Quadratic y = ax2 + bx + c
Cubic y = ax3 + bx2 + cx + d
Exponential y = abx
Power y = axb
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Example 1 The table shows the teacher’s
salary y (in dollars) for x years of teaching experience. Write a linear regression equation to model this data. Enter data into L1 and L2. Select “4:LinReg” from the
STAT CALC menu. Command:
LinReg (ax + b) L1, L2
x y
1 30,6242 32,4363 34,1674 35,9895 37,6846 39,3117 41,098
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Create a Scatter Plot from (x, y) Data
Enter data into L1 and L2. Select “4:LinReg” from the STAT CALC menu. Command: LinReg (ax + b) L1, L2, Y1 Use STAT PLOT to configure the graph.
Set WINDOW based on data values. GRAPH.
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Checkpoint 1 Write a linear regression equation to model
this data.
x 0 1 2 3 4 5 6 7
y 2 9 19 29 40 51 61 73
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Example 2 The table shows a deer
population y counted x years after a hunting ban began. Write an exponential regression equation for this data. Enter data into L1 and L2. Select “0:ExpReg” from the
STAT CALC menu. Command:
ExpReg L1, L2
x y
0 5005 729
10 127115 220620 3765
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Checkpoint 2 Write an exponential regression equation to
model this data.
x 1 2 3 4 5 6 7
y 462 318 181 107 75 62 55
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Example 3 The table shows the number of
people y who rode a roller coaster x hours after an amusement park opened. Write a quadratic regression equation to model this data. Enter data into L1 and L2. Select “5:QuadReg” from the STAT
CALC menu. Command:
QuadReg L1, L2
x y
0 852 1634 2826 3418 398
10 38112 304
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Checkpoint 3 Write an quadratic regression equation to
model this data.
x 0 2 4 6 8 10 12
y 100 178 273 314 349 324 289
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Homework 11.5
Practice 11.5