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
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Regression Statistics |
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Multiple R |
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R Square |
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Adjusted R Square |
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Standard Error |
0.64 |
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Observations |
4 |
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ANOVA |
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df |
SS |
MS |
F |
Significance F |
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Regression |
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Residual |
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0.83 |
0.415 |
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Total |
3 |
14.75 |
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Coefficients |
Standard Error |
t Stat |
P-value |
Lower 95% |
Upper 95% |
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Intercept |
2.51 |
0.80 |
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x |
0.61 |
0.10 |
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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.
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