**Question **# Math | Graded Assignment | Unit Test, Part 2 | Connections Between Data
Name:
Graded Assignment
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)
7.5
556
7.5
4.5
7.5 7
45 5.5
5
Total earned points 14 16
21 22
8
9
13
15
18
28
13
17
Answer:
(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. (6 points for the plot; 1 point for labeling the x-axis; 1 point for labeling the y-axis)
(b) Are there any clusters or outliers in the data set? If so, identify them. (1 point for identifying clusters; 1 point
for identifying outliers)
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Page 1 of 3 (Score for Question 2:
of 10 points)
Math | Graded Assignment | Unit Test, Part 2 | Connections Between Data
2. A linear model for the data in the table is shown in the scatter plot.
☑
1
2
4
5
6
7
8
y
15
11
12
10
10
CO
5
LO
Variable y
16
14
14
12
12
10
8
6
4
2
0
0
2
4
6
8
10
Variable x
2.5
Answer:
(a) Which two points should you use to find the equation of the model? Explain. (1 point for each correctly
identified points; 1 point for explanation)
(b) Use the two points you chose in Part (a) to find the slope of the linear model, rounded to three
decimal places. Show your work. (1 point for correctly calculating slope rounded to three decimals places; 2 points for
showing work)
(c) What is the equation of the linear model in point-slope form? (1 point for correctly writing the equation in point-
slope form)
(d) Rearrange the equation you wrote in Part (c) into slope-intercept form. Show your work. (1 point for
correct slope-intercept form of the equation; 2 points for showing work)
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Page 2 of 3
© 2015 K12 Inc. All rights reserved. (Score for Question 3:
of 8 points)
Math | Graded Assignment | Unit Test, Part 2 | Connections Between Data
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
5
9
7
14
0
6
12
Free throws
7
24
8
35
4
12
26
(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. (1 point for each box in the table with the correct
equation/coefficient of determination, with all values rounded to three decimal places)
Model
Linear
Quadratic
Exponential
(standard form)
Equation of regression model
Coefficient of determination
Answer:
(b) Which model best fits the data set? Explain. (1 point for identifying the model that best fits the data set; 1 point for
explanation)
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Copying or distributing without K12's written consent is prohibited.
Page 3 of 3