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

question 57

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, $\hat { \beta } _ { 1 }$ = -5.30 $S _ {\hat { \beta } _ { 1 }}$ = 1.5

---

Definitions:

Family Interaction

The exchange of communication, behavior, and emotions between members of a family unit.

Workplace Friendships

Relationships among colleagues characterized by mutual affection, trust, and support, which can enhance job satisfaction and productivity.

Conformity Dimensions

The aspects or factors that influence the extent to which individuals align their behavior and beliefs with those of a group.

Conversation Dimensions

Various aspects or characteristics that define and influence the nature of interpersonal communication, such as tone, topic, and level of formality.