Scatter Plots

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Show your work for each problem.

1.
A gardener studies how the hours of sunshine per day affect the growth of tomato plants. Which variable goes on the $x$ -axis of the scatter plot?
1. a)Number of plants
2. b)Growth of the plants
3. c)Date of the measurement
4. d)Hours of sunshine
2.
In a scatter plot, the points go down from left to right. What is the direction of the association?
1. a)Negative
2. b)Non-linear
3. c)Positive
4. d)No direction
3.
A scatter plot shows the points $(1, 50)$ , $(2, 58)$ , $(3, 65)$ , $(4, 70)$ and $(5, 78)$ , with hours studied on the $x$ -axis and test score on the $y$ -axis. What score did the student who studied 3 hours get?
4.
A table lists the height and the weight of 24 students, one row per student. How many points will the scatter plot have?
5.
A class plots hours of sleep ( $x$ ) against test score ( $y$ ). Lena slept 7 hours and scored 82. Plot her point step by step.
6.
The $y$ -values in a table go from $12$ to $47$ . Your $y$ -axis starts at $0$ and has $10$ grid squares. Choose a step for one square.
7.
The points $(1, 1)$ , $(2, 4)$ , $(3, 9)$ , $(4, 16)$ and $(5, 25)$ are plotted. What is the form of the pattern?
1. a)No pattern
2. b)Negative linear
3. c)Non-linear (curved)
4. d)Linear
8.
The $y$ -values of a data set go from $0$ to $120$ . The $y$ -axis is divided into $6$ equal intervals. What value does each interval represent?
9.
The points of a scatter plot lie very close to a straight line that goes down from left to right. How do you describe the association?
1. a)Weak, negative, linear
2. b)Strong, positive, linear
3. c)Strong, negative, linear
4. d)Weak, positive, non-linear
10.
A scatter plot has the points $(2, 14)$ , $(3, 18)$ , $(5, 21)$ , $(6, 25)$ , $(8, 30)$ and $(9, 33)$ . How many points have a $y$ -value greater than $20$ ?
11.
Describe the scatter plot of $(1, 30)$ , $(2, 26)$ , $(3, 23)$ , $(4, 19)$ , $(5, 15)$ : find its direction and form, then the total change in $y$ from $x = 1$ to $x = 5$ .
12.
Is the pattern of the points $(0, 1)$ , $(1, 2)$ , $(2, 4)$ , $(3, 8)$ , $(4, 16)$ linear or non-linear? Compare the increases.
13.
A scatter plot shows distance to work (km, $x$ ) and travel time (minutes, $y$ ) for nine people: $(2, 8)$ , $(3, 10)$ , $(3, 12)$ , $(4, 11)$ , $(15, 35)$ , $(16, 37)$ , $(16, 38)$ , $(17, 36)$ , $(18, 40)$ . Describe the clusters and the gap.
14.
A scatter plot shows the points $(1, 3)$ , $(2, 5)$ , $(3, 7)$ , $(4, 9)$ , $(5, 2)$ and $(6, 13)$ . Which point is an outlier?
1. a) $(4, 9)$
2. b) $(2, 5)$
3. c) $(5, 2)$
4. d) $(6, 13)$
15.
The $x$ -values of the points in a scatter plot are $1, 2, 3, 4, 11, 12, 13$ . They form two clusters. How wide is the gap between them (from the largest $x$ of the left cluster to the smallest $x$ of the right cluster)?
16.
Check whether $(5, 15)$ is an outlier in the scatter plot of $(1, 10)$ , $(2, 20)$ , $(3, 30)$ , $(4, 40)$ , $(5, 15)$ .
17.
You plot height ( $x$ ) against shoe size ( $y$ ) for a class. Heights go from $150$ to $190$ cm and shoe sizes from $36$ to $46$ . The $x$ -axis starts at $150$ with $8$ squares, the $y$ -axis starts at $36$ with $5$ squares. Find both steps.
18.
A scatter plot of hours of practice against test score for 20 students shows 12 points in a cluster near $(2, 60)$ , 7 points in a cluster near $(6, 85)$ and one point at $(6, 30)$ . Analyze the clusters and the outlier.