Question

find the equation for the least squares regression line of the data described below.

mr. carey is trying to convince his middle school typing students that it is better to slow down when they are learning to type. he argues that students who type too quickly make too many errors.

to prove his point, mr. carey has students type a sample paragraph. he records their average typing speed (in words per minute), x, and the number of errors they made, y.

round your answers to the nearest thousandth.

y = x +

save answer

Explanation:

Step1: Calculate the means of \(x\) and \(y\)

$$
LATEXBLOCK0
$$

Step2: Calculate the numerator and denominator for the slope \(b\)

$$
LATEXBLOCK1
$$

$$b=\frac{219}{1405.2}\approx0.156$$

Step3: Calculate the intercept \(a\)

$$a=\bar{y}-b\bar{x}=7-0.156\times64.6=7 - 10.078=- 3.078$$

Answer:

\(y = 0.156x-3.078\)