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What is the equation that shows the relationship among certain quantities?
The answer depends on the quantities and the nature of the relationship. It can be a line-of-best-fit (or regression line), or a formula.
What characteristic makes regression line of best fit?
The equation of the regression line is calculated so as to minimise the sum of the squares of the vertical distances between the observations and the line. The regression line represents the relationship between the variables if (and only if) that relationship is linear. The equation of this line ensures that the overall discrepancy between the actual observations and the predictions from the regression are minimised and, in that respect, the line is the best that can be fitted to the data set. Other criteria for measuring the overall discrepancy will result in different lines of best fit.
Is the best fit line the same as the line of best fit?
Yes but phrased differently
What is a line that is not a line but is almost a line?
A line of best-fit.
Why does best fit line does not touch all data points?
Because the "best fit" line is usually required to be a straight line, but the data points are not all on one straight line. (If they were, then the best-fit line would be a real no-brainer.)
Which is the best equationof a line of best fit this scatterplot?
A straight line equation
The line of best fit has the equation equals -1.5 plus 2.5x What does this equation predict for a value of x equals 3?
6The line of best fit has the equation = -3 + 2.5x. What does this equation predict for a value of x = 3?Answer: 4.5
How can you use a scatter plot to find an equation of a trend line?
By finding the line of best fit and using the straight line equation formula.
Does the line of best fit have to be straight?
Not necessarily. Often it is, but the line of best fit is simply an equation that closely matches the results. Therefore any line could be a line of best fit, linear, quadradic, or even cubic! The sky (and the results) are the limit.
When you find the equation for the line of best fit how would you justify your answer?
you go home
Can you make a linear equation from a nonlinear table?
Using the line of best fit, yes.
How relevant is linear equation to a firm?
The line of best fit is used to predict future decisions.
What is the difference between a trend line and a line of best fit?
A trend line is graphed from a linear, exponential, logarithmic or other equation, and trys to fit the sorted data that you have. But it may or may not be correlated. The line of best fit is the trend line that best fits your data, having a high correlation. R closer to 1.
How can a line of best fit be useful?
It is very useful and interesting to be able to enter data for two variables, graph those points in a scatter plot, and then generate a line of best fit through those points. From the line of best fit, it is fairly simple to generate a linear equation. A line of best fit is drawn through a scatterplot to find the direction of an association between two variables. This line of best fit can then be used to make predictions.
What is the equation that shows the relationship among certain quantities?
The answer depends on the quantities and the nature of the relationship. It can be a line-of-best-fit (or regression line), or a formula.
Hi you are doing a Chemistry lab report and you are told to find the equation for the best fit line The equation found was y equals 6E-0.5x plus 0.0029 what does the E mean for this equation?
In this context, the "E" in the equation y = 6E-0.5x + 0.0029 represents scientific notation. It is used to denote a number in the form of a * 10^b, where 'a' is the coefficient and 'b' is the exponent. Therefore, 6E-0.5 can be rewritten as 6 * 10^(-0.5). This indicates that the coefficient is 6 and the exponent is -0.5.
What characteristic makes regression line of best fit?
The equation of the regression line is calculated so as to minimise the sum of the squares of the vertical distances between the observations and the line. The regression line represents the relationship between the variables if (and only if) that relationship is linear. The equation of this line ensures that the overall discrepancy between the actual observations and the predictions from the regression are minimised and, in that respect, the line is the best that can be fitted to the data set. Other criteria for measuring the overall discrepancy will result in different lines of best fit.
