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3921 2141 8394861 45838 1644 889 1461516 7903 4467 2451 10948617 60074 3407 1212 4129284 14689

3921 2141 8394861 45838 1644 889 1461516 7903 4467 2451 10948617 60074 3407 1212 4129284 14689

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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how did you come up with the answer of Y= 605.397 and Y= 605.397 + 1.649X?

 

What is the formula and solution to come up with this answer

 

4030 2123 8555690 4507129 3921 2141 8394861 4583881 1644 889 1461516 790321 4467 2451 10948617 6007401 3407 1212 4129284 1468944 1143 505 577215 255025 3202 1695 5427390 2873025 3900 1960 7644000 3841600 EY= 34604 EX = 16252 EXY = 61768493 E = 29698414 Means of X,and Y,are denoted as X, and Y,m, respectively. X, - EX/10 - 1625.2 Ym - EY/10 - 3460.4 Assuming linear relation, i.e., Y- a+ bx - a = Y- bx ., a = 7250.398 ηΣΧΥ-ΣΧ. ΣΥ NEX² – (EX)² .. b = 1.683091 = b = Y- 605.397 • 1.649X This model has a coefficient of determination which is equal to 0.697. Figure 5.3 shows the trip generation equation using simple regression method.
Transcribed Image Text:4030 2123 8555690 4507129 3921 2141 8394861 4583881 1644 889 1461516 790321 4467 2451 10948617 6007401 3407 1212 4129284 1468944 1143 505 577215 255025 3202 1695 5427390 2873025 3900 1960 7644000 3841600 EY= 34604 EX = 16252 EXY = 61768493 E = 29698414 Means of X,and Y,are denoted as X, and Y,m, respectively. X, - EX/10 - 1625.2 Ym - EY/10 - 3460.4 Assuming linear relation, i.e., Y- a+ bx - a = Y- bx ., a = 7250.398 ηΣΧΥ-ΣΧ. ΣΥ NEX² – (EX)² .. b = 1.683091 = b = Y- 605.397 • 1.649X This model has a coefficient of determination which is equal to 0.697. Figure 5.3 shows the trip generation equation using simple regression method.
TABLE 5.1 Travel Survey Data of Ten Traffic Zones Employed persons Trips Population 5126 8212 1688 3764 5818 1588 4030 9789 2123 3921 6805 2141 1644 4054 889 4467 9463 2451 3407 2735 1212 1143 1784 505 3202 4418 1695 3900 5657 1960 Y= 1508.258 + 0.314781X, with = 0.584206 (5.1) If we try to develop trip generation equation between the trips and the number of employed persons in a zone, then the equation can be written as follows: Y- 605.397 • 1.649X, with A - 0.697 (5.2) As Eq. (5.2) is better than Eq. (5.1) in tems , therefore taking the above data with the employed persons, a simple regression may be constructed as shown in Table 5.2. TABLE 5.2 Simple Regression on the Rasis of Data Given in Table 5.1 Y(Trips) r(Employed persons) XY 5126 1688 8652688 2849344 3764 1588 5977232 2521744
Transcribed Image Text:TABLE 5.1 Travel Survey Data of Ten Traffic Zones Employed persons Trips Population 5126 8212 1688 3764 5818 1588 4030 9789 2123 3921 6805 2141 1644 4054 889 4467 9463 2451 3407 2735 1212 1143 1784 505 3202 4418 1695 3900 5657 1960 Y= 1508.258 + 0.314781X, with = 0.584206 (5.1) If we try to develop trip generation equation between the trips and the number of employed persons in a zone, then the equation can be written as follows: Y- 605.397 • 1.649X, with A - 0.697 (5.2) As Eq. (5.2) is better than Eq. (5.1) in tems , therefore taking the above data with the employed persons, a simple regression may be constructed as shown in Table 5.2. TABLE 5.2 Simple Regression on the Rasis of Data Given in Table 5.1 Y(Trips) r(Employed persons) XY 5126 1688 8652688 2849344 3764 1588 5977232 2521744
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