Question

3. Compute the equation of the regression line for a dataset that has the statistics given below. Round the values of a and b to two decimal places.

Answer 1

Answer:

y=17.01x+215.96

Explanation:

First, we determine the slope, a, of the best-fitting line using the formula below:

$\begin{gathered} a=r(\frac{s_y}{s_x}) \\ =0.63(\frac{108}{4}) \\ \implies a=17.01 \end{gathered}$

Next, we find the y-intercept of a regression line:

$\begin{gathered} b=\bar{y}-ax \\ =284-17.01(4) \\ \implies b=215.96 \end{gathered}$

Therefore, the equation of the regression line is:

$\begin{gathered} \hat{y}=ax+b \\ \hat{y}=17.01x+215.96 \end{gathered}$