A regression was performed on a sample of 20 observations. Two independent variables were included in the analysis, x and z. The relationship between x and z is z = x2. The following estimated equation was obtained. 
= 23.72 + 12.61x + 0.798z
The standard errors for the coefficients are Sb1 = 4.85 and Sb2 = 0.21
For this model, SSR = 520.2 and SSE = 340.6
a.Estimate the value of y when x = 5.
b.Compute the appropriate t ratios.
c.Test for the significance of the coefficients at the 5% level. Which variable(s) is (are) significant?
d.Compute the coefficient of determination and the adjusted coefficient of determination. Interpret the meaning of the coefficient of determination.
e.Test the significance of the relationship among the variables at the 5% level of significance.
Definitions:
Environment
The sum of all external conditions and influences affecting the life and development of an organism or population.
Cognition
The mental action or process of acquiring knowledge and understanding through thought, experience, and the senses.
Language
A system of communication using sounds or symbols that enable people to express thoughts and feelings.
Language Development
The process by which individuals acquire the capacity to understand and communicate language during infancy and early childhood.
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