| 单词 | regression line |
| 例句 | It is the value of y obtained using the regression line. ŷ is not generally equal to y from the data. Introductory Business Statistics 2017-11-29T00:00:00Z A regression line is a line that is closest to the data in the scatter plot, which means that such a line is a best fit for the data. College Algebra with Corequisite Support 2020-09-23T00:00:00Z This is called a line of best fit or least-squares regression line. High School Statistics 2020-03-27T00:00:00Z It is the value of y obtained using the regression line. Introductory Statistics 2013-09-19T00:00:00Z As we learned above, a regression line is a line that is closest to the data in the scatter plot, which means that only one such line is a best fit for the data. Algebra and Trigonometry 2015-02-13T00:00:00Z To assist the eyeball, the chart also displays what is called a “regression line” that fits the data. Seven Ways to Raise Wages Find the linear regression line using the cricket-chirp data in the example earlier in this section, and find the temperature if there are 30 chirps in 15 seconds. College Algebra with Corequisite Support 2020-09-23T00:00:00Z We will plot a regression line that best fits the data. High School Statistics 2020-03-27T00:00:00Z This can be seen as the scattering of the observed data points about the regression line. Introductory Statistics 2013-09-19T00:00:00Z For the following exercises, use each set of data to calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to 3 decimal places of accuracy. Algebra and Trigonometry 2015-02-13T00:00:00Z The gray line is a slope of 1.0, and the black line is the regression line. [Technical Response] Response to Comments on ?Drought-Induced Reduction in Global Terrestrial Net Primary Production from 2000 Through 2009? 2011-08-25T18:25:30.670Z The graph of the scatter plot with the regression line of best fit is shown. College Algebra with Corequisite Support 2020-09-23T00:00:00Z We can obtain a line of best fit using either the median-–median line approach or by calculating the least-squares regression line. High School Statistics 2020-03-27T00:00:00Z For each x value, the mean of the y values lies on the regression line. Introductory Statistics 2013-09-19T00:00:00Z Fit a regression line to a set of data and use the linear model to make predictions. Algebra and Trigonometry 2015-02-13T00:00:00Z As a matter of fact, however, neither of these possibilities is actually realized and the regression line EF is approximated in an actual series of data. The Social Direction of Evolution An Outline of the Science of Eugenics When expressed as a percentage, r2 represents the percentage of variation in the dependent variable, y, that can be explained by variation in the independent variable, x, using the regression line. High School Statistics 2020-03-27T00:00:00Z These are the variation of the points that are not as close to the regression line as others. High School Statistics 2020-03-27T00:00:00Z We need to find and graph the lines that are two standard deviations below and above the regression line. Introductory Statistics 2013-09-19T00:00:00Z Based on the set of data given in Table 6, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to three decimal places. Algebra and Trigonometry 2015-02-13T00:00:00Z Use the calculator’s regression function to find the equation of the least-squares regression line. High School Statistics 2020-03-27T00:00:00Z Use the calculator’s regression function to find the equation of the least-squares regression line. High School Statistics 2020-03-27T00:00:00Z Therefore, we cannot use the regression line to model a linear relationship between x and y in the population. High School Statistics 2020-03-27T00:00:00Z Sketch the regression line on the same axes as your scatter plot. Introductory Statistics 2013-09-19T00:00:00Z Based on the set of data given in Table 7, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to three decimal places. Algebra and Trigonometry 2015-02-13T00:00:00Z We can use the regression line to model the linear relationship between x and y in the population. Introductory Statistics 2013-09-19T00:00:00Z Because r is significant and the scatter plot shows a linear trend, the regression line can be used to predict final exam scores. Introductory Statistics 2013-09-19T00:00:00Z Our regression line from the sample is our best estimate of this line in the population. High School Statistics 2020-03-27T00:00:00Z Explain in words what the slope and y-intercept of the regression line tell us. Introductory Statistics 2013-09-19T00:00:00Z Based on the set of data given in Table 5, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Algebra and Trigonometry 2015-02-13T00:00:00Z A rule of thumb is that a point more than two standard deviations of the residuals from its predicted value on the least squares regression line is an outlier. Introductory Statistics 2013-09-19T00:00:00Z Unlike an outlier, an influential point is determined by its relationship with other values in the data set, not by its relationship to the regression line. Introductory Statistics 2013-09-19T00:00:00Z As we did with the equation of the regression line and the correlation coefficient, we will use technology to calculate this standard deviation for us. High School Statistics 2020-03-27T00:00:00Z How well does the regression line fit the data? Introductory Statistics 2013-09-19T00:00:00Z The graph of the scatter plot with the least squares regression line is shown in Figure 6. Algebra and Trigonometry 2015-02-13T00:00:00Z However, we only calculate a regression line if one of the variables helps to explain or predict the other variable. Introductory Statistics 2013-09-19T00:00:00Z We can use what is called a least-squares regression line to obtain the best fit line. Introductory Statistics 2013-09-19T00:00:00Z Use the calculator’s regression function to find the equation of the least-squares regression line. High School Statistics 2020-03-27T00:00:00Z Use your calculator’s regression function to find the equation of the least-squares regression line. Introductory Statistics 2013-09-19T00:00:00Z The scatter plot of the data, including the least squares regression line, is shown in Figure 8. Algebra and Trigonometry 2015-02-13T00:00:00Z Use your calculator’s regression function to find the equation of the least-squares regression line. Introductory Statistics 2013-09-19T00:00:00Z Use your calculator’s regression function to find the equation of the least-squares regression line. Introductory Statistics 2013-09-19T00:00:00Z Use the calculator’s regression function to find the equation of the least-squares regression line. High School Statistics 2020-03-27T00:00:00Z Explain in words what the slope and y-intercept of the regression line tell us. Introductory Statistics 2013-09-19T00:00:00Z The least squares regression line is found by minimizing the squares of the distances of points from a line passing through the data and may be used to make predictions regarding either of the variables. Algebra and Trigonometry 2015-02-13T00:00:00Z Explain in words what the slope and y-intercept of the regression line tell us. Introductory Statistics 2013-09-19T00:00:00Z How well does the regression line fit the data? Introductory Statistics 2013-09-19T00:00:00Z To begin to identify an influential point, you can remove it from the data set and determine whether the slope of the regression line is changed significantly. High School Statistics 2020-03-27T00:00:00Z How well does the regression line fit the data? Introductory Statistics 2013-09-19T00:00:00Z Interpret the slope of the linear regression line in the context of the data in your project. Introductory Statistics 2013-09-19T00:00:00Z Does the regression line seem to fit the data? Introductory Statistics 2013-09-19T00:00:00Z The regression line will be superimposed over the scatter plot. Introductory Statistics 2013-09-19T00:00:00Z Recall that recalculation of the least-squares regression line and summary statistics, following deletion of an outlier, may be used to determine whether an outlier is also an influential point. High School Statistics 2020-03-27T00:00:00Z Use your calculator’s regression function to find the equation of the least-squares regression line. Introductory Statistics 2013-09-19T00:00:00Z Can the regression line be used for prediction? Introductory Statistics 2013-09-19T00:00:00Z Can the regression line be used for prediction? Introductory Statistics 2013-09-19T00:00:00Z Because r is significant and the scatter plot shows a linear trend, the regression line can be used to predict final exam scores. Introductory Statistics 2013-09-19T00:00:00Z Use the data in the Table 12.35 to determine the linear regression line equation with the outliers removed. High School Statistics 2020-03-27T00:00:00Z It is not appropriate to use a linear regression line to fit to the data. Introductory Statistics 2013-09-19T00:00:00Z The regression line equation that we calculate from the sample data gives the best-fit line for our particular sample. Introductory Statistics 2013-09-19T00:00:00Z These points may have a big effect on the slope of the regression line. Introductory Statistics 2013-09-19T00:00:00Z To begin to identify an influential point, you can remove it from the data set and see if the slope of the regression line is changed significantly. Introductory Statistics 2013-09-19T00:00:00Z An outlier is only an influential point if it significantly impacts the slope of the least-squares regression line and the correlation coefficient, r. High School Statistics 2020-03-27T00:00:00Z We will plot a regression line that best "fits" the data. Introductory Statistics 2013-09-19T00:00:00Z There are several ways to find a regression line, but usually the least-squares regression line is used because it creates a uniform line. Introductory Statistics 2013-09-19T00:00:00Z When expressed as a percent, r2 represents the percent of variation in the dependent variable y that can be explained by variation in the independent variable x using the regression line. Introductory Statistics 2013-09-19T00:00:00Z Then, connect the two points to form the regression line. Introductory Statistics 2013-09-19T00:00:00Z If omission of this data point from the calculation of the regression line does not show much impact on the slope or r-value, then the outlier is not considered an influential point. High School Statistics 2020-03-27T00:00:00Z |
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