Question

the following computer output describes the relationship between y = height (in cm) and x = foot length (also in cm) for 12 randomly selected students from the british census @ schools database. the scatterplot for this relationship show a roughly linear shape. which of the following is an equation of least - squares regression line for these data? predicted height = 117.99+1.878 (foot length) predicted foot length = 117.99 + 1.878 (height) predicted height = 1.878+117.99 (foot length) predicted foot length = 1.878 + 117.99 (height)

Explanation:

Step1: Recall the form of a simple - linear regression equation

The simple - linear regression equation is of the form $\hat{y}=a + bx$, where $\hat{y}$ is the predicted value of the dependent variable, $a$ is the intercept, $b$ is the slope, and $x$ is the independent variable. In the context of predicting height ($y$) from foot length ($x$), the correct form should be $\text{Predicted Height}=a + bx$.

Step2: Identify the correct equation

Given that the relationship is used to predict height ($y$) from foot length ($x$), the equation should be $\text{Predicted Height}=117.99+1.878(\text{Foot Length})$.

Answer:

Predicted Height = 117.99 + 1.878 (Foot Length)