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

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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1) What is the slope(b1) and what is its statistical interpretation? 

2) Perform the test of hypothesis (t-test) on the following and state your statistical decision.

Use   α = 0.01. Please show all the relevant calculations. 

H0: β1 = 0

H1: β1 ≠ 0

3) Perform the test of hypothesis (F-test) on the following and state your statistical decision.

Use α = 0.01. Please show all the relevant calculations.  

H0: β1 = 0

H1: β1 ≠ 0

4) What is the coefficient of determination (r2) i.e., percentage of variability in the monthly rent explained by the independent variable rental property area? Please show all the relevant calculations.  

5) What is the 99% confidence interval for the population slope(β1)? Please show all the relevant calculations.?

 

Question B: Consider the partially completed Excel regression analysis shown below between the independent variable rental property area (in square feet) and the dependent variable monthly rent (in dollars) and answer the following questions. Regression Statistics Multiple R R Square Adjusted R Square Standard Error 0.64 Observations 14 ANOVA Significance df ss MS IF Regression Residual 0.83 0.415 Total 3 14.75 Standard Coefficients Error t Stat P-value Lower 95% Upper 95% Intercept 2.51 0.80 0.61 0.10
Transcribed Image Text:Question B: Consider the partially completed Excel regression analysis shown below between the independent variable rental property area (in square feet) and the dependent variable monthly rent (in dollars) and answer the following questions. Regression Statistics Multiple R R Square Adjusted R Square Standard Error 0.64 Observations 14 ANOVA Significance df ss MS IF Regression Residual 0.83 0.415 Total 3 14.75 Standard Coefficients Error t Stat P-value Lower 95% Upper 95% Intercept 2.51 0.80 0.61 0.10
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