The constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3^¼
<h3>Inverse variation</h3>
y = k ÷ x^¼
where,
- Constant of proportionality = k
When x = 3, y = 1
y = k ÷ x^¼
1 = k ÷ 3^¼
1 = k / 3^¼
1 × 3^¼ = k
k = 3^¼
Therefore, the constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3¼
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Based on the information given, the thing that can be concluded is that Brand A's data are probably linear while Brand B's data are probably not.
<h3>What is a Linear
regression?</h3>
It should be noted that a linear regression simply shows the relationship between the dependent and independent variables.
If residuals for brand A are randomly scattered above and below the x-axis, and the residuals for brand B are also randomly scattered but clustered closer to the x-axis, it implies that brand A's data are probably linear while Brand B's data are probably not.
A random scatter of points on the residual plot simply implies that there's a linear relationship in the original data set.
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