Consider the partially completed Excel regression analysis shown below between the independent variable rental property area 'X' (in square feet) and the dependent variable monthly rent 'Y' (in 1000s of $) and answer the following questions.

Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error	5.93
Observations	13
ANOVA
	df	SS	MS	F
Regression		3312.54
Error (Residual)
Total	12	3699.45
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	12.67	6.97
X (Sq.Ft)	0.07	0.01

1. What is the slope(b₁) and what is its statistical interpretation? (10 points)

2. Perform the test of hypothesis (t-test) on the following and state your statisticaldecision. Use = 0.05.Please show all the relevant calculations.(10 points)

H₀:1= 0

H₁: 1 0

3. Perform the test of hypothesis (F-test) on the following and state your statisticaldecision. Use = 0.05. Please show all the relevant calculations.(10 points)

H₀:1= 0

H₁: 1 0

4. What is the coefficient of determination (R²) i.e., the percentage of variability in the monthly rent explained by the independent variablerental property area? Please show all the relevant calculations. (10 points)

5. What is the 95% confidence interval for the population slope (1)? Please show all the relevant calculations. (10 points)?