Question

Using data from the LPGA tour, a regression analysis was performed using x = average driving distance and y = scoring average. Using the output from the regression analysis shown below, determine the equation of the least-squares regression line.

a. y^=87.974+2.391x

b. y^=87.974+1.01216x

c. y^=87.974−0.060934x

d. y^=−0.060934+1.01216x

e. y^=−0.060934+87.947x

Short answer

The correct option is (c) $\stackrel{⏜}{y}=87.974-0.060934x$

Step-by-step solution

Given information

The output is

Concept

The regression equation is written as:

$$\begin{gathered} \stackrel{⏜}{y}=a+bx \\ a=Interceptcoefficient \\ b=Slopecoefficient \end{gathered}$$

Explanation

Here, $x$ is the average driving distance and $y$ is the scoring average.

The regression line's equation might be constructed as follows using the provided output:

$$\begin{gathered} \stackrel{⏜}{y}=a+bx \\ \stackrel{⏜}{y}=87.974-0.060934x \end{gathered}$$

So, the equation of the regression line is

$\stackrel{⏜}{y}=87.974-0.060934x$

Hence, the correct option is (c).