8. The following 14 data pairs relate variable x, the size of store (in 1000squa

Question

8. The following 14 data pairs relate variable x, the size of store (in 1000square feet) to variable yi, its annual sales (in millions of dollars): x 1.7 1.6 285.6 1.3 22 1.31.1 3.21.55.2 4.6 5.8 3.0 y 3.7 3.9 6.7 9.5 3.4 5.6 3.7 2.75.52.9 10.7 7.6 11.8 4.1 such that: x-2.92, Y=5.84 , xy =301.90, =157.41, y,2 =594.90 Find a) equation of linear regression line Y A+ BX (6points) (2points) b) 90% confidence interval for B: is there regression on input variable? c) 95% confidence interval for response if x=4 (4points) 95% prediction interval for response if x-4 Explain difference between these intervals

Explanation / Answer

Regression Analysis: y1 versus x1

Model Summary

S R-sq R-sq(adj) R-sq(pred)
0.966380 90.42% 89.62% 86.82%

Coefficients

Term Coef SE Coef T-Value P-Value VIF
Constant 0.964 0.526 1.83 0.092
x1 1.670 0.157 10.64 0.000 1.00

Regression Equation

y1 = 0.964 + 1.670 x1

Variable Setting
x1 4

Fit SE Fit 95% CI 95% PI
7.64392 0.308794 (6.97112, 8.31673) (5.43348, 9.85436)

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