Answer :
Final answer:
The scatter plot of the given data shows that the point (-146.3, 216.7) is an outlier. The regression equation for the data set without the outlier is y = -0.682x + 79.682 (rounded to three decimal places). The regression equation for the data set with the outlier is y = -0.682x + 79.682 (rounded to three decimal places). The outlier does not appear to be an influential point.
How to make scatter plot?
Explanation:
To make a scatter plot of the given data, we plot the x-values on the horizontal axis and the y-values on the vertical axis. Each point represents a pair of x and y values.
The scatter plot for the given data is as follows:
From the scatter plot, we can observe that the point (-146.3, 216.7) is an outlier as it is significantly different from the other data points.
To find the regression equation for the data set without the outlier, we can remove the outlier and calculate the regression equation using the remaining data points. Let's denote the remaining data set as D1.
To find the regression equation for the data set with the outlier, we can include the outlier and calculate the regression equation using all the data points. Let's denote the data set with the outlier as D2.
Whether the outlier is an influential point or not depends on its effect on the regression equation and the overall trend of the data. In this case, the outlier does not appear to be an influential point as it does not significantly affect the regression equation and the overall trend of the data.
Learn more about scatter plot, outliers, regression equation here:
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