Respuesta :
Answer:
0.9156
Step-by-step explanation:
In the picture attached, the data is plotted (I made it using MS Excel, you can use similar programmes or a calculator).
The line that best correlates the data has the following equation:
y = 0.1037x + 50.922
and its correlation coefficient is:
R² = 0.9156
Answer:
Correlation coefficient, r = 0.957
Step-by-step explanation:
Let y represent the weight
Let x represent the height
y x x² y² xy
99 61 3721 9801 6039
104 61 3721 10816 6344
110 62 3844 12100 6820
133 64 4096 17689 8512
130 65 4225 16900 8550
142 68 4629 20169 9656
146 66 4356 21316 9636
153 67 4489 23409 10251
184 69 4761 33856 12696
185 70 4900 34225 12950
[tex]\sum y = 1386[/tex], [tex]\sum x = 653[/tex], [tex]\sum x^2 = 42737[/tex], [tex]\sum y^2 = 200276[/tex], [tex]\sum xy = 91454[/tex]
Correlation coefficient formula,
[tex]r = \frac{n \sum xy - \sum x \sum y}{\sqrt{(n \sum x^2 - (\sum x)^2) (n \sum y^2 - (\sum y)^2)} } \\r = \frac{10* 91454 - 653*1386}{\sqrt{(10* 42737 - (653)^2) (10* 200276 - (1386)^2)} }[/tex]
Correlation coefficient, r = 0.957
