Given the Following Statistics of a Multiple Regression Model, Can $x _ { 1 }$

question 2

Essay

Given the following statistics of a multiple regression model, can we conclude at the 5% significance level that $x _ { 1 }$ and y are linearly related?
n = 42 k = 6 $b _ { 1 } =$ -5.30 $s _ { b _ { 1 } } =$ 1.5

---

Definitions:

Productivity Factors

Elements that contribute to the output and efficiency of production, such as labor skill levels, technology, and innovation.

Pay Gap

The difference in average earnings between any two groups within the workforce, often used to discuss the disparity between genders or ethnic backgrounds.

Nonmonetary Reward

A form of compensation or incentive that does not involve the direct payment of money, such as appreciation, recognition, or professional development opportunities.

Compensating Differential

Additional income or benefits offered to employees to offset unpleasant aspects of a job.