To determine the correlation coefficient for the given data points, we first need to analyze the provided x and y values:
x: 1 3 5 7 9
y: 13 43 51 76 81
Using statistical software or a calculator, we can compute the correlation coefficient (Pearson’s r) for these data points. However, based on the information you provided that states there is a positive correlation and the correlation coefficient is approximately 0.973, we can assess the strength of the correlation.
A correlation coefficient (r) of 0.973 suggests a very strong positive correlation, indicating that as one variable increases, the other variable tends to also increase, closely following a linear trend.
The options are:
- 0.97300135; weak
- 0.97300135; strong
- −0.97300135; weak
- negative 0.97300135 ; weak
- −0.97300135; strong
- negative 0.97300135 ; strong
Given the interpretation of the correlation coefficient:
The correct response is 0.97300135; strong.