We obtain the following quadratic trend equation:

ˆ
Y
i=100−10Xi+15X
2
i

The data used was from 2004 through 2013 coded 0 to 9. The forecast for 2014 is ___________.

Question

We obtain the following quadratic trend equation:

ˆ
Y
i=100−10Xi+15X
2
i

The data used was from 2004 through 2013 coded 0 to 9. The forecast for 2014 is ___________.

BlackTom AI · Accepted Answer

The problem gives a quadratic trend equation and asks for the forecast for the year 2014.
First, identify how the year codes map to X values. The data span 2004 through 2013 and are coded 0 to 9, so 2004 corresponds to X = 0, 2005 to X = 1, ..., and 2013 to X = 9.
To forecast 2014, we extend this coding: 2014 would be X = 10 (since 2004 + 10 years = 2014).
Next, plug X = 10 into the trend equation Ŷi = 100 − 10Xi + 15Xi^2:
- Compute the linear term: −10 × X = −10 × 10 = −100.
- Compute the quadratic term: 15 × Xi^2 = 15 × (10)^2 = 15 × 100 = 1500.
- The constant term is 100.
Combine them: Ŷ = 100 + (−100) + 1500 = 0 + 1500 = 1500.
Thus, the forecast for 2014 is 1500.
Note: The provided data includes an answer value of 1500, but the options list is empty in this prompt, so the calculation above is the basis for the forecast. If options were present, we would compare 1500 to them to select the correct choice.

We obtain the following quadratic trend equation: ˆ Y i=100−10Xi+15X 2 i The data used was from 2004 through 2013 coded 0 to 9. The forecast for 2014 is ___________.单项选择题

类似问题

We obtain the following quadratic trend equation: ˆ Y i=100−10Xi+15X 2 i The data used was from 2004 through 2013 coded 0 to 9. The forecast for 2014 is ___________.

We obtain the following quadratic trend equation: 𝑌 ^ 𝑖 = 100 − 10 𝑋 𝑖 + 15 𝑋 𝑖 2 The data used was from 2004 through 2013 coded 0 to 9. The forecast for 2014 is ___________.

We obtain the following quadratic trend equation: The data used was from 2004 through 2013 coded 0 to 9. The forecast for 2014 is ___________.

Question at position 8 An excess of growth hormone (GH) before puberty can result in the development ofgigantism.Graves' disease.acromegaly.pituitary dwarfism.Clear my selection

Question at position 6 The most abundant supporting cells in the central nervous system are called Question Blank 1 of 1[input].

Question at position 5 In the eye, the lens functions tofocus light on the retina at the back of the eye.protect the surface of the eye.increase vision in low-light conditions.move the eye side to side.Clear my selection

Question at position 4 Olfactory (odor) receptors are chemoreceptors. TrueFalse

If the pKa of HCHO2 is 3.74 and the pH of an HCHO2/NaCHO2 solution is 3.00, which of the following is TRUE?

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单