A Local Tire Dealer Wants to Predict the Number of Tires

question 16

Short Answer

A local tire dealer wants to predict the number of tires sold each month. He believes that the number of tires sold is a linear function of the amount of money invested in advertising. He randomly selects 6 months of data consisting of tire sales (in thousands of tires) and advertising expenditures (in thousands of dollars). Based on the data set with 6 observations, the simple linear regression model yielded the following results.
∑X = 24
∑X² = 124
∑Y = 42
∑Y² = 338
∑XY = 196
Find the rejection point for the t statistic at α = .05 and test H₀: β₁ ≤ 0 vs. H_α: β₁ > 0.

---

Definitions:

Altruistic Behavior

Actions driven by the desire to help others without expecting personal gain or benefit, often motivated by empathy and concern for others.

Empathetic

Refers to the ability to understand and share the feelings of another person from their perspective.

Increase Helping

Suggests strategies or approaches aimed at enhancing the willingness or frequency of individuals to provide assistance to others in need.

Group Project

A collaborative assignment or task undertaken by multiple individuals, often with the aim of achieving a common goal or project.