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  Math | Graded Assignment | Unit Test, Part 2 | Connections Between Data
  Name:
  Date:
  Unit Test, Part 2: Connections Between Data
  Answer the questions. When you have finished, submit this assignment to your teacher by the due date for full
  credit.
  Total score: ____ of 28 points
  (Score for Question 1: ___ of 10 points)
  1. The table shows the distances, in meters, that each player in a game tossed a ball, and the total number of
  earned points each player made for those tosses.
  Distance (m)
  6.5
  6
  5
  8.5
  2
  5.5
  6.5
  8
  3
  6
  4.5
  6
  Total earned
  points
  15
  15
  22
  21
  9
  8
  14
  14
  19
  27
  14
  16
  (a) Create a scatter plot of the data set. Use the distance for the input variable and the total earned
  points for the output variable.
  (b) Are there any clusters or outliers in the data set? If so, identify them.
  Copying or distributing without K12?s written consent is prohibited.
  Page 1 of 3
  Math | Graded Assignment | Unit Test, Part 2 | Connections Between Data
  (Score for Question 2: ___ of 10 points)
  2. A linear model for the data in the table is shown in the scatter plot.
  x
  1
  2
  4
  5
  6
  7
  8
  9
  y
  14
  12
  11
  11
  9
  7
  4
  3.5
  (a) Which two points should you use to find the equation of the model? Explain.
  (b) Use the two points you chose in Part (a) to find the slope of the linear model, rounded to three
  (c) What is the equation of the linear model in point-slope form?
  (d) Rearrange the equation you wrote in Part (c) into slope-intercept form. Show your work.
  Copying or distributing without K12?s written consent is prohibited.
  Page 2 of 3
  Math | Graded Assignment | Unit Test, Part 2 | Connections Between Data
  (Score for Question 3: ___ of 8 points)
  3. The data set shows the number of practice throws players in a basketball competition made and the number
  of free throws they made in a timed competition.
  Practice throws
  4
  10
  6
  15
  0
  7
  11
  Free throws
  8
  23
  9
  34
  5
  11
  27
  (a) Use technology to find the equation and coefficient of determination for each type of regression
  model. Use the number of practice throws for the input variable and the number of free throws for the
  output variable. Round all decimal values to three places.
  Model
  Equation of regression model
  Coefficient of determination
  Linear
  Exponential
  (standard form)
  (b) Which model best fits the data set? Explain.
  Copying or distributing without K12?s written consent is prohibited.
  Page 3 of 3
  
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