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Massachusetts Comprehensive Assessment System

2017, Grade 10 Mathematics

Download PDF Document  Question 21: Open-Response no calculator allowed
The table below shows the number of full-time employees at eight guitar-production companies and the number of guitars produced by each company last year.

Guitar Production
Number of Full-
Time Employees
35688101318
Number of Guitars
Produced
98189235309336412494692
On the grid in your Student Answer Booklet, copy the title, the axes, and the labels exactly as shown below.

xy grid called
  1. On your grid, create a scatterplot using the data from the table.
  2. On your scatterplot, draw a line of best fit for the data.
  3. Write an equation that represents the line of best fit you drew in part (b). Show or explain how you got your answer.
  4. Use your equation to estimate the number of full-time employees needed if a company plans to produce 1000 guitars in a year. Show or explain how you got your answer.

Scoring Guide and Sample Student Work
Select a score point in the table below to view the sample student response.

ScoreDescription
4 The student response demonstrates an exemplary understanding of the Statistics and Probability concepts involved in representing data on two quantitative variables on a scatterplot and describing how the variables are related. The student draws a line of best fit and creates an equation for a set of data and uses the equation to make a prediction.
4
3 The student response demonstrates a good understanding of the Statistics and Probability concepts involved in representing data on two quantitative variables on a scatterplot and describing how the variables are related. Although there is significant evidence that the student was able to recognize and apply the concepts involved, some aspect of the response is flawed. As a result the response merits 3 points.
2 The student response demonstrates a fair understanding of the Statistics and Probability concepts involved in representing data on two quantitative variables on a scatterplot and describing how the variables are related. While some aspects of the task are completed correctly, others are not. The mixed evidence provided by the student merits 2 points.
1 The student response demonstrates a minimal understanding of the Statistics and Probability concepts involved in representing data on two quantitative variables on a scatterplot and describing how the variables are related.
0 The student response contains insufficient evidence of an understanding of the Statistics and Probability concepts involved in representing data on two quantitative variables on a scatterplot and describing how the variables are related to merit any points.

Note: There are 2 sample student responses for Score Point 4.

Grade 10 Mathematics

Question 17: Geometry
Question 20: Number and Quantity
Question 21: Statistics and Probability
Question 36: Algebra and Functions
Question 41: Geometry
Question 42: Algebra and Functions

Return to the MCAS 2017 Student Work Directory



Last Updated: October 7, 2016
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