A study was conducted to determine if the size and weight of the brain are related to mental capacity. A sample of subjects was selected and the bodyweight (in pounds), height (in inches), and the size of the brain (determined by magnetic resonance imagining (MRI) as the total pixel count from several scans performed on each subject). The full-scale IQ scare was also obtained for each subject. The model Y = ₀ + ₁ X₁ + ₂ X₂ + ₃ X₃ + was used and all assumptions were tested and found to be valid. A. Complete the following table and use it to give the least-squares regression model obtain.

Variable	DF	Parameter Estimate	Standard Error	t Value
Intercept	1	183.994	109.441	1.682
Weight	1		0.253	0.1669
Height	1	-3.909		2.928
MRI_Count	1	0.0002148		2.651

B. Complete the ANOVA table given below and use it to test the usefulness of the model. Use = 0.1.

Source	df	SS	MS	F
Regression	3		1812.932	5.319
Error
Total	17

C. Use the Table in Part A to test if each of the 3 independent variables is useful in predicting the dependent variable. Use = 0.1. D. Find both r 2 and adj-r².