Correlation is an estimate of a linear relationship between two variables and takes no account of non-linear relationship. If the relationship is quadratic and the domain is symmetric about some point, the correlation will be zero. It is, thus possible for the points on the scatter plot to lie exactly on a parabola while the calculated correlation is zero. In such a case, it is easy to make a prediction despite no correlation.
random coin flips and exponeous events
A scatter chart would be the best candidate to spot trends and extrapolate information based on research data.
Absolutely not. The simplest way to demonstrate this is to consider a measure of agreement - disagreement. If we scored it so that "strongly agree" is 5 and "strongly disagree" is 1, we would get one value of the correlation. If we reverse-scored it, we would get exactly the same value, but with the opposite sign. The strength of the correlation is the same, but the direction of the relation has switched. Another consideration is the fact that the actual strength of the correlation is based on the square of its value. 0.20 squared is 0.04; 0.40 squared is 0.16. A correlation of 0.40 is four times as strong as a correlation of 0.20. But when you square something, you automatically lose the sign. The square of a negative number is positive. So by definition, correlations of the same size but different signs are equal in strength.
Yes, that is what allows you to predict data values based on the information you have. It also tells you other things about the data set such as the correlation.
More likely to be correct. If you are trying to make a prediction then the probability that you will be correct is related to the strength of the hypotheses on which the prediction is based. Assume that the prediction depended on 3 hypotheses all being correct. Each has a probability say 10 to1, 15 to 1, and 3 to 1. Then the probability against all 3 being correct would be ((11 times 16 times 4)-1) to 1.
A scatter graph on the data you already have, then place a regression line ( line of best fit) across the points and predict the information based on this line. It obviously isn't accurate and is only a prediction and if there is no correlation in the plotted points and no line of best fit can be placed on there can be no prediction made.
The nearer the absolute value of the correlation coefficient is to 1, the higher the accuracy of the predicted value. At r = 0, any prediction based on the independent variable is inaccurate - to the extent of being a waste of time.The nearer the absolute value of the correlation coefficient is to 1, the higher the accuracy of the predicted value. At r = 0, any prediction based on the independent variable is inaccurate - to the extent of being a waste of time.The nearer the absolute value of the correlation coefficient is to 1, the higher the accuracy of the predicted value. At r = 0, any prediction based on the independent variable is inaccurate - to the extent of being a waste of time.The nearer the absolute value of the correlation coefficient is to 1, the higher the accuracy of the predicted value. At r = 0, any prediction based on the independent variable is inaccurate - to the extent of being a waste of time.
Yes
Correlation charts in FT-IR spectroscopy are used to identify functional groups in a molecule by matching the observed infrared absorption bands to known characteristic absorption frequencies of functional groups. This allows for the interpretation and analysis of the chemical structure of a sample based on its IR spectrum.
No, a theory is not a prediction. A theory is a well-supported explanation for a phenomenon based on evidence and research, while a prediction is a statement about what might happen in the future based on the theory.
Since a prediction is based off of one's thoughts/understanding of the story.
hypothesis
a prediction!!!
The prediction is based on a trend line that approximates the locations of the related points.
Prediction means : A statement of what could happen in the future Prediction means : A conclusion trough a process of logical thinking
Hypothesis is more of a scientific guess while prediction is a more of a guess based on experience.
an estimation or an estimate