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Question

# Following are forecasts of worldwide annual cell phone handset sales:$\begin{matrix} \text{Year x} & \text{3} & \text{5} & \text{7}\\ \text{Sales y (millions)} & \text{500} & \text{600} & \text{800}\\ \end{matrix}$(x=3 represents 2003). Complete the following table and obtain the associated regression line. (Round coefficients to 2 decimal places.)$\begin{matrix} & \text{} & \text{x} & \text{y} & \text{xy} & \text{}{x^{2}}\\ & \text{} & \text{3} & \text{500} & \text{} & \text{}\\ & \text{} & \text{5} & \text{600} & \text{} & \text{}\\ & \text{} & \text{7} & \text{800} & \text{} & \text{}\\ \text{Totals} & \text{} & \text{} & \text{} & \text{}\\ \end{matrix}$Use your regression equation to project the 2008 sales.

Solution

Verified
Step 1
1 of 4

Given the set of points

$(\mathrm{x}_{1},y_{1}), (x_{2},y_{2}), \ldots, (x_{n},y_{n})$

The regression line (least squares line, best-fit line):

$y=mx+b,$

where $m$ and $b$ are computed as follows.

$m=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^{2})-(\sum x)^{2}}\qquad b=\frac{\sum y-m(\sum x)}{n}$

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The text passage contains a mathematical question that involves calculating a regression line based on given data points and using it to project future sales. The solution is also provided, detailing the steps to find the regression line.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Fresh features from the #1 AI-enhanced learning platform.Try it free
Fresh features from the #1 AI-enhanced learning platformCrush your year with the magic of personalized studying.Try it free
Question

# Following are forecasts of worldwide annual cell phone handset sales:$\begin{matrix} \text{Year x} & \text{3} & \text{5} & \text{7}\\ \text{Sales y (millions)} & \text{500} & \text{600} & \text{800}\\ \end{matrix}$(x=3 represents 2003). Complete the following table and obtain the associated regression line. (Round coefficients to 2 decimal places.)$\begin{matrix} & \text{} & \text{x} & \text{y} & \text{xy} & \text{}{x^{2}}\\ & \text{} & \text{3} & \text{500} & \text{} & \text{}\\ & \text{} & \text{5} & \text{600} & \text{} & \text{}\\ & \text{} & \text{7} & \text{800} & \text{} & \text{}\\ \text{Totals} & \text{} & \text{} & \text{} & \text{}\\ \end{matrix}$Use your regression equation to project the 2008 sales.

Solution

Verified
Step 1
1 of 4

Given the set of points

$(\mathrm{x}_{1},y_{1}), (x_{2},y_{2}), \ldots, (x_{n},y_{n})$

The regression line (least squares line, best-fit line):

$y=mx+b,$

where $m$ and $b$ are computed as follows.

$m=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^{2})-(\sum x)^{2}}\qquad b=\frac{\sum y-m(\sum x)}{n}$

## Recommended textbook solutions

#### Finite Math and Applied Calculus

6th EditionISBN: 9781133607700 (2 more)Stefan Waner, Steven Costenoble
4,880 solutions

#### Finite Mathematics for the Managerial Life and Social Sciences

12th EditionISBN: 9781337405782 (1 more)Tan, Soo
3,074 solutions

#### Calculus

1st EditionISBN: 9781429215695Tan, Soo
8,315 solutions

#### Finite Math and Applied Calculus

5th EditionISBN: 9781439049259 (2 more)Stefan Waner, Steven Costenoble
5,227 solutions
user
The text passage contains a mathematical question that involves calculating a regression line based on given data points and using it to project future sales. The solution is also provided, detailing the steps to find the regression line.

TYPE: SINGLE_QUESTION_WITH_ANSWER