Question

The regression equation relating attitude rating (x) and job performance rating (y) for the employees of a company is Ten pairs of data were used to obtain the equation. The same data yield r = 0.863 and

What is the best predicted job performance rating for a person whose attitude rating is 77?


80.1


12.6


88.9


90.2

Answer 1

Answer:

The correct option is 90.2.

Step-by-step explanation:

The general form of a least square regression line is:

$y=\alpha +\beta x$

Here,

y = dependent variable

x = independent variable

α = intercept

β = slope

The regression equation relating attitude rating (x) and job performance rating (y) for the employees of a company is:

$y=11.7+1.02x$

In this case the dependent variable is the job performance rating for the employees of a company and the independent variable is their attitude rating.

This implies that the for an employee of the company the job performance rating is based on their attitude towards work.

Compute the value of y for x = 77 as follows:

$y=11.7+1.02x$

  $=11.7+(1.02\times 77)\\=11.7+78.54\\=90.24\\\approx90.2$

The predicted value of job performance rating for a person whose attitude rating is 77 is 90.2.

Thus, the correct option is 90.2.