Question

question 15 of 25

what is the equation of the line of best fit for the following data? round the slope and \\(y\\)-intercept of the line to three decimal places.

\\
\

$$\begin{array}{|c|c|} \\hline x & y \\\\ \\hline 1 & 14 \\\\ \\hline 5 & 11 \\\\ \\hline 6 & 4 \\\\ \\hline 12 & 2 \\\\ \\hline 15 & 1 \\\\ \\hline \\end{array}$$

\\

a. \\(y = -13.634x + 0.927\\)
b. \\(y = 13.634x - 0.927\\)
c. \\(y = -0.927x + 13.634\\)
d. \\(y = 0.927x - 13.634\\)

Explanation:

Calculate summary statistics

$$
LATEXBLOCK0
$$

Calculate sum of squares

$$
LATEXBLOCK1
$$

Compute slope and y-intercept

$$
LATEXBLOCK2
$$

Answer:

• A. \(y = -13.634x + 0.927\)
• B. \(y = 13.634x - 0.927\)
• C. \(y = -0.927x + 13.634\) (Correct answer)
• D. \(y = 0.927x - 13.634\)