Concept explainers
To Find: The graph of the linear regression equation for the given data and determine the equation that is better fit for the data.
Answer to Problem 1E
The required linear regression equation and the
Explanation of Solution
Given:
The given table is shown in Table 1
Table 1
Time | Height |
0.1 | 3.04 |
0.2 | 5.76 |
0.3 | 8.16 |
0.4 | 10.24 |
0.5 | 12 |
0.6 | 13.44 |
0.7 | 14.90 |
Calculation:
Press the start button and enter the data as shown in Figure 1
Figure 1
Press the stat button and choose CALC as shown in Figure 2
Figure 2
Press enter and select 4 as shown in Figure 3
Figure 3
Press enter twice and the required linear regression is obtained as shown in Figure 4
Figure 4
Press the 2nd key and then STAT PLOTS and select 1 as shown in Figure 5
Figure 5
Press the select type and mark as shown in Figure 6
Figure 6
Press zoom button and select the option 9 as shown in Figure 7
Figure 7
Press the graph button as shown in Figure 8
Figure 8
Press Y= button to obtain the linear regression as shown in Figure 9
Figure 9
Then , press the graph button as shown in Figure 10
Figure 10
Press the enter and then select the option 5 as shown in Figure 11
Figure 11
Press the button 2 two times and the required quadratic regression equation is obtained as shown in Figure 12
Figure 12
Press the 2nd key and then STAT PLOTS and select 1 as shown in Figure 13
Figure 13
Press the select type and mark as shown in Figure 14
Figure 14
Press zoom button and select the option 9 as shown in Figure 15
Figure 15
Press the graph button as shown in Figure 16
Figure 16
Press Y= button to obtain the linear regression as shown in Figure 17
Figure 17
Then , press the graph button as shown in Figure 18
Figure 18
Thus, the required linear regression equation and the quadratic equation s are
Chapter 4 Solutions
Glencoe Algebra 2 Student Edition C2014
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