From the linear model we find expected u
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Using this formula we find out the t_{stat}
Our t_{crit} is 2.052 (df is 27, α is 0.05) t_{stat} value is greater than t_{crit}, which means that we reject the H_{0} and conclude that the sum of the coefficients of X_{1,i} and X_{2,i} is not negative 78.
r_{1 2.3} = PCC between Y and X_{2}, holding X_{3} constant r_{1 3.2} = PCC between Y and X_{3}, holding X_{2} constant r_{2 3.1} = PCC between X_{2} and X_{3}, holding Y constant Question 4
SE= 212.6816 9.267491 R^{2} = 0.9277 t= 4.64 21.79 RGDP_{t}= 1907.715 +128.782T_{t} + u_{t} SE= 45.13298 1.966646 R^{2} = 0.9914 t= 42.27 65.48
On average, the real GDP of USA has increased 129 USD annually starting from 1959 year.
Question 5
Pay_{i} = 12129.52 + 3.307597Spend_{i} + u_{i} SE= 1197.408 0.3117191 R^{2}=0.6968 RSS=264850534 SSE=608559605
H_{a}: β₂≠3.0 β₂=3.307597± 2*(0.3117191) => β₂= [2.68411588; 3.9310352] => this is the 95% confidence interval the interval shows that the coefficient of a slope is inside this interval with a 95% confidence.
=28679.63452 Standard error of the mean value is 520.5117, which is found by the formula Standard error of the individual value is 2382.337, which is found by the formula Then the confidence intervals for mean individual predictions are calculated: Download 0.84 Mb. Do'stlaringiz bilan baham: 
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