Multiple Regression Analysis Was Used to Study How an Individual's

question 6

Essay

Multiple regression analysis was used to study how an individual's income (y in thousands of dollars) is influenced by age (x₁ in years), level of education (x₂ ranging from 1 to 5), and the person's gender (x₃ where 0 =female and 1=male). The following is a partial result of Excel output that was used on a sample of 20 individuals.

a.Compute the coefficient of determination.
b.Perform a t test and determine whether or not the coefficient of the variable "level of education" (i.e., x₂) is significantly different from zero. Let  = 0.05.
c.At  = 0.05, perform an F test and determine whether or not the regression model is significant.
d.As you note the coefficient of x₃ is -0.510. Fully interpret the meaning of this coefficient.

---

Definitions:

Spleen Rupture

A break or tear in the spleen, often due to injury, which can lead to internal bleeding and require urgent medical attention.

Left Hypochondriac Region

An area of the abdomen located to the left of the epigastric region and above the left lumbar region, containing parts of the stomach and the left kidney.

Left Iliac Region

An area of the abdomen on the left side that is bounded by the iliac crest; often associated with parts of the colon and small intestine.

Epigastric Region

An area of the abdomen located just above the stomach and below the ribcage, often associated with stomach pain or discomfort.