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Answer :
Final answer:
The slope of the estimated regression line is denoted by the letter "b" in this case (b = 0.023). The standard deviation, which measures the variability of data points around the regression line, is a separate statistic not directly represented by the slope.The standard deviation is not provided. The correct option is D.
Explanation:
The question states that the paper reported the slope of the estimated regression line as b = 0.023, but it does not provide any information about the standard deviation. In multiple-choice questions (MCQs), it's essential to carefully read and analyze the information provided before selecting an answer. Since no standard deviation is given, option (d) is the correct choice.
In statistical analysis, the slope of the regression line (b) represents the rate of change in the dependent variable (y) concerning the independent variable (x). However, to assess the reliability of the regression model and the accuracy of the slope estimate, we typically need information about the standard deviation or standard error of the slope. Without this information, it's challenging to draw any conclusions about the precision of the slope estimate or the overall goodness-of-fit of the regression model.
Therefore, in this case, option (d) is the correct answer because the standard deviation, a crucial measure of variability or uncertainty, is not provided in the question. Without the standard deviation, it's not possible to make any definitive statements about the reliability or accuracy of the reported slope estimate.The correct option is D.
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