Exponent
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.
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.
Yes but phrased differently
A line of best-fit.
By finding the line of best fit and using the straight line equation formula.
you go home
A straight line equation
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
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.
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.
Exponent
Using the line of best fit, yes.
The line of best fit is used to predict future decisions.
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.
The line of best fit is simply the line that shows the general direction of the graph. The trick is to make the line go through as many points on the graph as possible. Some scatter plots have no line of best fit.
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.