AP
Statistics
3.02
Looking at the Data
Directions:
Complete the assignment. Clearly label each answer. Your answers for this
assignment must include reasons; simply stating the answer without justification will earn partial
credit. (32 points)
1.
Below are four data sets. For each data set sketch a scatterplot (2 points each), draw a
regression line (2 points each), and calculate the correlation coefficient r (2 points each).
Provide a statement regarding how well the correlation coefficient, r, measures the
relationship of the x and y variables. (2 points each).
x1
y1
x2
y2
x3
y3
x4
y4
1
2
2
4
1
1
8
2
3
4
3
9
2
4
7
4
5
6
4
16
3
9
6
20
7
8
5
25
4
16
5
5
9
11
6
36
5
25
8
3
12
15
7
49
6
16
7
5
16
20
8
64
7
9
6
5
17
22
9
81
8
4
5
6
22
28
1
1
9
2
4
7
29
36
0
0
1
0
3
8
36
48
10
100
0
1
2
9
Set 1 (x
1
, y
1
)
Insert scatterplot and regression line.
Correlation coefficient:
R = 0.9984
How well does the correlation coefficient, r, measures the relationship of the x and y variables?
This is a strong positive correlation, meaning the high x variables go with the high y
variables.
Set 2 (x
2
, y
2
)
Insert scatterplot and regression line.
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- Summer '17
- Gallo, S
- Correlation Coefficient, Correlation and dependence, Pearson product-moment correlation coefficient
