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Asked by Carlton Hopkins on Mar 10, 2024

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If the covariance of x and y is 26.16 and the standard deviation of x is 32.7,then the slope of the least squares line is b1 =.80.

Covariance

A measure indicating the extent to which two variables change together, signifying the direction of their linear relationship.

Standard Deviation

A statistic that quantifies the amount of variation or dispersion of a set of data values, typically used to measure how spread out the numbers in a data set are.

Slope

A measure of the steepness, incline, or grade of a line, indicating the ratio of the vertical change to the horizontal change between two points on the line.

  • Investigate and explain the linear connections between variables, covering the understanding of coefficients related to correlation and determination.
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Heater Wright

Mar 10, 2024

Final Answer :
False
Explanation :
The slope of the least squares line ( bbb ) is calculated using the formula b=Covariance of x and yVariance of xb = \frac{\text{Covariance of } x \text{ and } y}{\text{Variance of } x}b=Variance of xCovariance of x and y​ . Given the covariance of xxx and yyy is 26.16 and the standard deviation of xxx is 32.7, the variance of xxx would be 32.7232.7^232.72 . The provided slope value does not match the calculation based on these inputs.

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