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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.

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Why can't you use a scatter plot that has no correlation to make a prediction?

A scatter plot with no correlation indicates that there is no discernible relationship between the two variables being analyzed. As a result, using such a plot for prediction would be unreliable, as changes in one variable do not consistently correspond with changes in the other. Without a clear pattern, any predictions made would likely be based on random chance rather than a meaningful association. Consequently, predictions would lack accuracy and validity.


What is based on prediction and extrapolation?

random coin flips and exponeous events


What is a way to look at how one set of data is related to another?

One effective way to examine the relationship between two sets of data is through correlation analysis, which quantifies the strength and direction of a relationship using correlation coefficients. Visual methods, such as scatter plots, can also be helpful, as they allow for the observation of patterns and potential trends between the datasets. Additionally, regression analysis can be employed to model the relationship and predict outcomes based on one dataset relative to another.


What is the name of the line given to the values of y on a scatter plot?

The line given to the values of y on a scatter plot is called the "line of best fit" or "regression line." This line represents the relationship between the variables and minimizes the distance between itself and the data points in the scatter plot. It helps to visualize trends and make predictions based on the data.


When interpreting a correlation coefficient it is important to look at?

When interpreting a correlation coefficient, it is important to consider both the strength and direction of the relationship between the two variables, as indicated by the value of the coefficient (ranging from -1 to +1). Additionally, one should examine the context of the data, including sample size and potential confounding variables, which can influence the correlation. Finally, correlation does not imply causation, so it's crucial to avoid jumping to conclusions about cause-and-effect relationships based solely on the correlation coefficient.

Related Questions

What type of graph can best help you predict the answer to information you never tested?

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.


How is the value of the correlation coefficient related to the accuracy of the predicated value for a specific value x?

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.


Is a hypothesis a scientific prediction or possible explanation based on reasoning intuition and research?

Yes


What is the purpose of correlation charts in FT-IR?

1. The purpose of correlation chart are to measure or relate two variables and allow us to make a prediction about one variable based on what we know about another variable. For example, a correlation between the 2 known sample.


Is a theory a prediction?

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.


Why there is no error analysis in prediction?

Since a prediction is based off of one's thoughts/understanding of the story.


What is a descriptive model based on a prediction?

hypothesis


Making a forecast of what will happen in the future based on past experience or evidence is called?

a prediction!!!


Why is it important to say about wheb making a prediction?

The prediction is based on a trend line that approximates the locations of the related points.


What is the definition of the word prediction?

Prediction means : A statement of what could happen in the future Prediction means : A conclusion trough a process of logical thinking


What is hypothesis and prediction or are the responsible variables?

Hypothesis is more of a scientific guess while prediction is a more of a guess based on experience.


What is another word for prediction based on numbers?

an estimation or an estimate