*Height is measured in inches*
*Time is measured by 1 increment= 1/3 second (3 increments= 1 second)*
Market Basket Coke (6 Mentos)
Time__Height
1_______12
3_______36
4_______46.8
6_______31.2
8_______6
9_______1
11_______0
Linear Regression: -0.62
Quadratic Regression: 0.65
Cubic Regression: 0.97
Quartic Regression: 0.98
Therefore, this set of data most likely forms a Quartic Graph.
Stop and Shop Diet Coke (6 Mentos)
Time__Height
1_______12
3_______42
5_______60
6_______40
8_______6
10_______0
Linear Regression: -0.39
Quadratic Regression: 0.76
Cubic Regression: 0.91
Quartic Regression: 0.98
Therefore, this data most likely forms a Quartic Graph.
Diet Coke #1 (6 Mentos)
Time__Height
1_______34
3_______78
5_______132
7_______115
9_______36
11_______0
Linear Regression: -0.33
Quadratic Regression: 0.89
Cubic Regression: 0.91
Quartic Regression: 0.999989 or 1.00
Therefore this data forms a Quartic Graph.
Diet Coke #2 (6 Mentos)
Time__Height
1_______14
3_______36
4_______38
5_______26
7_______2
8_______0
Linear Regression: -0.58
Quadratic Regression: 0.88
Cubic Regression: 0.98
Quartic Regression: 0.996 or 1.00
Therefore this data forms a Quartic Graph.
All of the sets of data represent quartic graphs. We found this by entering the data into our graphing calculator and finding the line of best fit. First, we tested a parabola, the (r) ranging between 0.65 & 0.89. Then, we tried cubic, with the (r) between 0.91 & 0.98. Finally we put the data into a Quartic Regression, the (r) ranged between 0.98 and 1.00.
*Time is measured by 1 increment= 1/3 second (3 increments= 1 second)*
Market Basket Coke (6 Mentos)
Time__Height
1_______12
3_______36
4_______46.8
6_______31.2
8_______6
9_______1
11_______0
Linear Regression: -0.62
Quadratic Regression: 0.65
Cubic Regression: 0.97
Quartic Regression: 0.98
Therefore, this set of data most likely forms a Quartic Graph.
Stop and Shop Diet Coke (6 Mentos)
Time__Height
1_______12
3_______42
5_______60
6_______40
8_______6
10_______0
Linear Regression: -0.39
Quadratic Regression: 0.76
Cubic Regression: 0.91
Quartic Regression: 0.98
Therefore, this data most likely forms a Quartic Graph.
Diet Coke #1 (6 Mentos)
Time__Height
1_______34
3_______78
5_______132
7_______115
9_______36
11_______0
Linear Regression: -0.33
Quadratic Regression: 0.89
Cubic Regression: 0.91
Quartic Regression: 0.999989 or 1.00
Therefore this data forms a Quartic Graph.
Diet Coke #2 (6 Mentos)
Time__Height
1_______14
3_______36
4_______38
5_______26
7_______2
8_______0
Linear Regression: -0.58
Quadratic Regression: 0.88
Cubic Regression: 0.98
Quartic Regression: 0.996 or 1.00
Therefore this data forms a Quartic Graph.
All of the sets of data represent quartic graphs. We found this by entering the data into our graphing calculator and finding the line of best fit. First, we tested a parabola, the (r) ranging between 0.65 & 0.89. Then, we tried cubic, with the (r) between 0.91 & 0.98. Finally we put the data into a Quartic Regression, the (r) ranged between 0.98 and 1.00.
