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Will the correlation coefficient for these data points be positive or negative 24 47 512?
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∙ 14y ago
positive
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∙ 14y ago
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When all of the points fall on the regression line what is the value of the correlation coefficient?
1 or -1
How will you interpret the coefficient of correlation?
Correlation is a measure of the strength of a linear relationship between two variables. In theory it ranges between -1 and +1, although in practice, random and observation error make this value smaller.Near -1, the correlation is very strongly negative, which means that an increase in one variable is accompanied by a decrease in the other.Near +1, the correlation is very strongly positive, which means that an increase in one variable is accompanied by an increase in the other.Near 0, the correlation is weak and there is no linear pattern in which the two variables change.There are two very critical points to remember:Correlation does not measure causation. For example, the number of cars on the road is correlated to my age but my getting older does not cause more cars to be made and cars do not cause me to grow old (at least, not with most drivers!)Correlation will only measure a linear relationship. If you examine a relationship like y = x2, over a symmetric interval, the correlation coefficient will be close to 0. But there is, clearly, a very strong relationship - just that it is not linear.Finally, the importance of any correlation coefficient is subjective and depends on the context. A correlation coefficient that is high for a sociological study may be considered moderate for a high school physics experiment.
What are the disadvantages of a scatter graph?
A scatter graph may use a positive correlation or negative correlation, to shows points of the graph in either a dipping or climbing line, and is fairly easy to read the data. A zero correlation is when the points are scattered across the graph and this can make seeing the data difficult. It's a bit like "dot to dot" in a children's puzzle book, but without the numbers at the side of the dots!
What is perfect negative linear correlation?
This means that the data points lie perfectly on a line with negative slope. For example, the points (0,4), (1,3), (2,2), (4,0) are perfectly correlated since they lie on the line y = -x + 4. It is a negative correlation since the slope of the line is -1, a negative number, or alternatively because as x rises, y falls.
How do you find the quadrant number of a point?
If the points have both positive y-values and x-values it is quadrant 1 If the points have a negative x-value and a positive y-value it is quadrant 2 If the points have both negative y-values and x-values it is quadrant 3 If the points have a positive x-values and a negative y-value it is quadrant 4
When you have a scatter plot and you have to choose a correlation I know Positive Negative and no correlation are options Is moderate correlation an option?
Yes. * A positive correlation is when the dependant variable increases as the independent one does. * A negative correlation is when the dependant variable decreases as the independent one increases. * Perfect correlation is when all the points lie along a straight line; no correlation is when the points lie all over the place. In calculating the correlation coefficient it can have a value between -1 and 1, with 0 indication no correlation and values between 0 and ±1 showing a greater correlation until ±1 which is perfect correlation. Moderate correlation would be one of these intermediate values, eg ±0.5, which shows the points are moderately related.
What is an example of two variables that would be positively correlated and two variables that could be negatively correlated?
False. Correlation coefficient as denoted by r, ranges from -1 to 1. Coefficient of determination, or r squared ranges from 0 to 1. I note that x,y data points that have a high negative correlation would plot with a negative trend or a negatively sloped line if a best fit regression line is determined. I note also that x,y data points with a high positive correlation would plot with a positive trend or positively sloped line if a best fit regression line is determined. The coefficient of determination for r = 0.9 and r= -0.9 would be 0.81.
When you removed from the data set how would the correlation coefficient be affected?
If you remove certain data points from a dataset, the correlation coefficient may be affected depending on the nature of the relationship between the removed data points and the remaining data points. If the removed data points have a strong relationship with the remaining data, the correlation coefficient may change significantly. However, if the removed data points have a weak or no relationship with the remaining data, the impact on the correlation coefficient may be minimal.
Can you provide an example of a weak positive correlation?
You can find examples by typing it in to Google. Weak positive correlation is a set of points on a graph that are loosely set around the line of best fit. The line will be positive rising up from left to right. A weak correlation can vary a lot as long as you can decipher which direction the data tends towards you have a correlation. If the points are close to the line of best fit you have a strong correlation and with a set of points perfectly lined up is perfect correlation. All three types can positive negative or perfect.
What is a correlation statement?
a correlation statement is a sentence that says whether the points on a scatterplot have a positive, negative or no correlation.ex. This graph shows a negative correlation, as the number of cows increases (x axis data) the profitability decreases (y axis data).
When all of the points fall on the regression line what is the value of the correlation coefficient?
1 or -1
What is positive correlation and negative correlation?
Positive correletion between x and y means that x=ay+b, with a>0 so tha as y increases, so does the x. Now, negative correlation is the same, but with a<0 so that as y increases, x decreases. You have to be careful with the value of correlation coefficient it takes values in [-1,1]. values near 1(or -1) mean strong positive(or negative for -1) linear relation between x and y.
What is the meaning of correlation coefficient?
The correlation coefficient takes on values ranging between +1 and -1. The following points are the accepted guidelines for interpreting the correlation coefficient:0 indicates no linear relationship.+1 indicates a perfect positive linear relationship: as one variable increases in its values, the other variable also increases in its values via an exact linear rule.-1 indicates a perfect negative linear relationship: as one variable increases in its values, the other variable decreases in its values via an exact linear rule.Values between 0 and 0.3 (0 and -0.3) indicate a weak positive (negative) linear relationship via a shaky linear rule.Values between 0.3 and 0.7 (0.3 and -0.7) indicate a moderate positive (negative) linear relationship via a fuzzy-firm linear rule.Values between 0.7 and 1.0 (-0.7 and -1.0) indicate a strong positive (negative) linear relationship via a firm linear rule.The value of r squared is typically taken as "the percent of variation in one variable explained by the other variable," or "the percent of variation shared between the two variables."Linearity Assumption. The correlation coefficient requires that the underlying relationship between the two variables under consideration is linear. If the relationship is known to be linear, or the observed pattern between the two variables appears to be linear, then the correlation coefficient provides a reliable measure of the strength of the linear relationship. If the relationship is known to be nonlinear, or the observed pattern appears to be nonlinear, then the correlation coefficient is not useful, or at least questionable.
When is the correlation coefficient closest to 1?
When x and y values of points agree in a linear relationship
Explain how you can determine the type of correlation for a set of data pairs by examining the data in a table without drawing a scatter plot?
"If y tends to increase as x increases, then the data have a positive correlation. If y tends to decrease as x increases, then the data have a negative correlation. If the points show no correlation, then the data have approximately no correlation."
What is a normal coefficient variation?
the R value in the calculator also known as the amount of correlation the data points fit
How do you draw a scatter plot with a negative correlation?
you graph the points going downwards
