text: 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
  
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  4,880 solutions
  
  #### Finite Mathematics for the Managerial Life and Social Sciences
  
  12th EditionISBN: 9781337405782 (1 more)Tan, Soo
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  #### 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
explanation: The document contains a math question related to forecasting worldwide annual cell phone handset sales using a regression line. It provides a table with years and sales data and asks the reader to complete the table and obtain the regression line. Additionally, it asks to use the regression equation to project the 2008 sales. The document also includes a solution with the steps to compute the regression line.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: 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
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question related to forecasting worldwide annual cell phone handset sales using a regression line. It provides a table with years and sales data and asks the reader to complete the table and obtain the regression line. Additionally, it asks to use the regression equation to project the 2008 sales. The document also includes a solution with the steps to compute the regression line.
  
  Label: question-and-answer