Question
Calculate the second difference for data in the table. Use a graphing calculator to find the quadratic regression for each data set. Make a conjecture about the relationship between the a values in the quadratic models and the second difference of the data.
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)
Hint:
1. When the difference between 2 consecutive differences for output values (y values) for a given constant change in the input values (x values) is constant. i.e. dy(n)- dy(n-1) is constant for any value of n, the function is known as a quadratic function.
2. Regression is a statistical tool used to find a model that can represent the relation between a given change in dependant variable (output values/ y values) for a given change in independent variable (input values/ x values).
Quadratic Equation using regression can be represented as-
Y = aX2 + bX + c, where-
Σy = nc + b(Σx) + a(Σx2)
Σxy = c(Σx) + b(Σx2) + a(Σx3)
Σx2y = c(Σx2) + b(Σx3) + a(Σx4)
The correct answer is: Second difference for data in the given table is 6. Quadratic regression for each data set can be represented using the function Y = 3X2. Also, the second difference is 2 times the a value.
Step-by-step solution:-
From the given information, we get-
x coordinates in the given table pertains to length of bubble wrap (in inches) and y coordinates pertain to the cost of such bubble wrap.
Now, from the given table, we observe the following readings-
x1 = 0, y1 = 0;
x2 = 1, y2 = 3;
x3 = 2, y3 = 12;
x4 = 3, y4 = 27;
x5 = 4, y5 = 48.
a). Difference between 2 consecutive x values-
dx1 = x2 - x1 = 1 - 0 = 1
dx2 = x3 - x2 = 2 - 1 = 1
dx3 = x4 - x3 = 3 - 2 = 1
dx4 = x5 - x4 = 4 - 3 = 1
Difference between 2 consecutive y values-
dy1 = y2 - y1 = 3 - 0 = 3
dy2 = y3 - y2 = 12 - 3 = 9
dy3 = y4 - y3 = 27 - 12 = 15
dy4 = y5 - y4 = 48 - 27 = 21
We observe that the difference for every consecutive x values is constant i.e. 1 but for y values the difference is not constant.
Hence, the given function is not a linear function.
b). Now, difference between 2 consecutive differences for y values-
dy2 - dy1 = 9 - 3 = 6
dy3 - dy2 = 15 - 9 = 6
dy4 - dy3 = 21 - 15 = 6
We observe that the difference of differences of 2 consecutive y values are constant i.e. 6.
Hence, the given function is a quadratic function.
Using Quadratic Regression formula and values from the adjacent table-
Y = aX2 + bX + c, where-
Σy = nc + b(Σx) + a(Σx2)
∴ 90 = 5c + b(10) + a(30)
∴ 90 = 5c + 10b + 30a .................................................. (Equation i)
Σxy = c(Σx) + b(Σx2) + a(Σx3)
∴ 300 = c(10) + b(30) + a(100)
∴ 300 = 10c + 30b + 100a ....................................... (Equation ii)
Σx2y = c(Σx2) + b(Σx3) + a(Σx4)
∴ 1,062 = c(30) + b(100) + a(354)
∴ 1,062 = 30c + 100b + 354a ....................... (Equation iii)
Dividing Equation 2 by 2, we get-
50a + 15b + 5c = 150 …............................................... (Equation iv)
Subtracting Equation I from Equation iv, we get-
50a + 15b + 5c = 150 …............................................... (Equation iv)
- 30a + 10b + 5c = 90 …............................................... (Equation i)
20a + 5b = 60 .................................................. (Equation v)
Multiplying Equation ii with 3, we get-
300a + 90b + 30c = 900 ......................... (Equation vi)
Subtracting Equation vi from Equation iii, we get-
354a + 100b + 30c = 1,062 ......................... (Equation iii)
- 300a + 90b + 30c = 900 ......................... (Equation vi)
54a + 10b = 162 ......................... (Equation vii)
Multiplying Equation v with 2, we get-
40a + 10b = 120 ............................................... (Equation viii)
Subtracting Equation viii from Equation vii, we get-
54a + 10b = 162 ............................................... (Equation vii)
- 40a + 10b = 120 ............................................... (Equation viii)
14a = 42
i.e. 14a = 42
∴ a = 42/ 14 ................................... (Dividing both sides by 14)
∴ a = 3
Substituting a = 3 in Equation v, we get-
20a + 5b = 60 .................................................. (Equation v)
∴ 20(3) + 5b = 60
∴ 60 + 5b = 60
∴ 5b = 60 - 60 ........................................ (Taking all constants together)
∴ 5b = 0
∴ b = 0/5 ............................................ (Dividing both sides by 5)
∴ b = 0
Substituting a = 3 and b = 0 in Equation i, we get-
30a + 10b + 5c = 90 .............................. (Equation i)
∴ 30 (3) + 10 (0) + 5c = 90
∴ 90 + 0 + 5c = 90
∴ 90 + 5c = 90
∴ 5c = 90 - 90 ..................... (Taking all constants together)
∴ 5c = 0
∴ c = 0/5 ........................... (Dividing both sides by 5)
∴ c = 0
∴ The Quadratic Equation is-
Y = aX2 + bX + c
∴ Y = 3X2 + 0 X + 0
∴ Y = 3 X2
From the above calculations, we can find the relation between a value in the quadratic model i.e. 3 and the second difference (d) of the data i.e. 6.
We observe that-
6 = 2 × 3
∴ d = 2 × a
∴ Second difference = 2 × a
Final Answer:-
∴ Second difference for data in the given table is 6. Quadratic regression for each data set can be represented using the function Y = 3X2. Also, the second difference is 2 times the a value.
x coordinates in the given table pertains to length of bubble wrap (in inches) and y coordinates pertain to the cost of such bubble wrap.
Now, from the given table, we observe the following readings-
x2 = 1, y2 = 3;
x3 = 2, y3 = 12;
x4 = 3, y4 = 27;
x5 = 4, y5 = 48.
a). Difference between 2 consecutive x values-
dx1 = x2 - x1 = 1 - 0 = 1
dx2 = x3 - x2 = 2 - 1 = 1
dx3 = x4 - x3 = 3 - 2 = 1
dx4 = x5 - x4 = 4 - 3 = 1
Difference between 2 consecutive y values-
dy1 = y2 - y1 = 3 - 0 = 3
dy2 = y3 - y2 = 12 - 3 = 9
dy3 = y4 - y3 = 27 - 12 = 15
dy4 = y5 - y4 = 48 - 27 = 21
We observe that the difference for every consecutive x values is constant i.e. 1 but for y values the difference is not constant.
Hence, the given function is not a linear function.
b). Now, difference between 2 consecutive differences for y values-
dy2 - dy1 = 9 - 3 = 6
dy3 - dy2 = 15 - 9 = 6
dy4 - dy3 = 21 - 15 = 6
We observe that the difference of differences of 2 consecutive y values are constant i.e. 6.
Hence, the given function is a quadratic function.
Using Quadratic Regression formula and values from the adjacent table-
Y = aX2 + bX + c, where-
Σy = nc + b(Σx) + a(Σx2)
∴ 90 = 5c + b(10) + a(30)
∴ 90 = 5c + 10b + 30a .................................................. (Equation i)
Σxy = c(Σx) + b(Σx2) + a(Σx3)
∴ 300 = c(10) + b(30) + a(100)
∴ 300 = 10c + 30b + 100a ....................................... (Equation ii)
Σx2y = c(Σx2) + b(Σx3) + a(Σx4)
∴ 1,062 = c(30) + b(100) + a(354)
∴ 1,062 = 30c + 100b + 354a ....................... (Equation iii)
Dividing Equation 2 by 2, we get-
50a + 15b + 5c = 150 …............................................... (Equation iv)
Subtracting Equation I from Equation iv, we get-
50a + 15b + 5c = 150 …............................................... (Equation iv)
- 30a + 10b + 5c = 90 …............................................... (Equation i)
20a + 5b = 60 .................................................. (Equation v)
Multiplying Equation ii with 3, we get-
300a + 90b + 30c = 900 ......................... (Equation vi)
Subtracting Equation vi from Equation iii, we get-
354a + 100b + 30c = 1,062 ......................... (Equation iii)
- 300a + 90b + 30c = 900 ......................... (Equation vi)
54a + 10b = 162 ......................... (Equation vii)
Multiplying Equation v with 2, we get-
40a + 10b = 120 ............................................... (Equation viii)
Subtracting Equation viii from Equation vii, we get-
54a + 10b = 162 ............................................... (Equation vii)
- 40a + 10b = 120 ............................................... (Equation viii)
14a = 42
i.e. 14a = 42
∴ a = 42/ 14 ................................... (Dividing both sides by 14)
∴ a = 3
Substituting a = 3 in Equation v, we get-
20a + 5b = 60 .................................................. (Equation v)
∴ 20(3) + 5b = 60
∴ 60 + 5b = 60
∴ 5b = 60 - 60 ........................................ (Taking all constants together)
∴ 5b = 0
∴ b = 0/5 ............................................ (Dividing both sides by 5)
∴ b = 0
Substituting a = 3 and b = 0 in Equation i, we get-
30a + 10b + 5c = 90 .............................. (Equation i)
∴ 30 (3) + 10 (0) + 5c = 90
∴ 90 + 0 + 5c = 90
∴ 90 + 5c = 90
∴ 5c = 90 - 90 ..................... (Taking all constants together)
∴ 5c = 0
∴ c = 0/5 ........................... (Dividing both sides by 5)
∴ c = 0
∴ The Quadratic Equation is-
Y = aX2 + bX + c
∴ Y = 3X2 + 0 X + 0
∴ Y = 3 X2
From the above calculations, we can find the relation between a value in the quadratic model i.e. 3 and the second difference (d) of the data i.e. 6.
We observe that-
6 = 2 × 3
∴ d = 2 × a
∴ Second difference = 2 × a
Final Answer:-
∴ Second difference for data in the given table is 6. Quadratic regression for each data set can be represented using the function Y = 3X2. Also, the second difference is 2 times the a value.