Here is a bivariate data set.
x | y |
---|---|
44.1 | 57.5 |
28.1 | 30.4 |
19.3 | 21.1 |
19.4 | 7.6 |
23.9 | 22.7 |
23.6 | 25.6 |
36.5 | 43.3 |
47.5 | 56 |
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
percentage accurate to one decimal place.
r² = %
Hence to calculate the correlation coefficient
=
=0.973
To calculate the coefficient of determination
proportion of the variation in y can be explained by the variation in the values of x
0.948
=94.8%
Here is a bivariate data set.
x | y |
---|---|
62 | 29.4 |
77.3 | 76 |
39.3 | 16.8 |
45.2 | 31.2 |
50.3 | 28.9 |
69.8 | 65.6 |
79.8 | 65 |
64.7 | 52.2 |
Find the correlation coefficient and report it accurate to three decimal places.
r =
What percentage of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place.
r² = %
ased on the data shown below, calculate the regression line (each value to at least two decimal places)
y = x +
x | y |
---|---|
4 | 25.22 |
5 | 24.75 |
6 | 25.98 |
7 | 27.31 |
8 | 28.44 |
9 | 29.97 |
10 | 29.5 |
11 | 32.03 |
12 | 34.66 |
13 | 35.39 |
ased on the data shown below, calculate the regression line (each value to two decimal places)
y = x +
x | y |
---|---|
3 | 25.01 |
4 | 26.28 |
5 | 27.05 |
6 | 30.82 |
7 | 32.39 |
8 | 32.96 |
9 | 38.43 |
10 | 36.9 |
11 | 38.87 |
12 | 41.64 |
13 | 45.21 |
14 | 47.98 |
15 | 48.65 |
16 | 52.82 |
17 | 54.19 |
18 | 54.16 |
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