The required decimal fraction is 0.417.
Given that,
To express 5/12 as a decimal fraction.
A recurring Decimal is described as also called repeating decimal, which is a decimal digit that only consists of repeating digits after a certain interval after the decimal. For example, 94.642642642..., 213.569569... etc.
Fraction is defined as the number of compositions that constitute the Whole.
Here,
Given fraction = 5 / 12
= 0.4166667
Round to thousand
= 0.417
Thus, the required decimal fraction is 0.417.
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2x^3 - 12x^2 = 32x - 192
A. It must be between -1 and 1.
B. It must be positive.
C. It indicates the percentage of points that lie on the regression line.
D. The correlation coefficient tells you how strong the residuals are.
E. If correlation is positive, the slope of the regression line is also positive
This is about knowledge between Correlation and Regression.
Option A and E are correct.
Option A; Under different types of correlation coefficient they tend to make use of different range for their definitions but it is always between minimum of -1 and maximum of 1. Thus, the statement is correct.
Option B; It must not be positive because as stated in option A above negative values can be used.
Option C; No, it doesn't indicate percentage of points because in the definition i gave earlier, there is nothing like that. Besides, this is in regression and not correlation.
Option D; This is incorrect as the definition doesn't support it.
Option E; This is correct because positive correlation means that the two variables increase at the same time or decrease at the same time. Thus, it means the regression line will be positive as long as correlation is positive.
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