excel o/p for regression-
Regression Statistics | ||||||
Multiple R | 0.9169 | |||||
R Square | 0.8407 | |||||
Adjusted R Square | 0.8319 | |||||
Standard Error | 46.7294 | |||||
Observations | 20 | |||||
ANOVA | ||||||
df | SS | MS | F | Significance F | ||
Regression | 1 | 207441.7 | 207441.7 | 95.00 | 0.0000 | |
Residual | 18 | 39305.5 | 2183.6379 | |||
Total | 19 | 246747.2 | ||||
Coefficients | Standard Error | t Stat | P-value | lower 95% | upper 95% | |
Intercept | 69.908 | 30.269 | 2.310 | 0.0330 | 6.3146 | 133.502 |
X | 0.146 | 0.015 | 9.747 | 0.0000 | 0.1147 | 0.1777 |
b)
Ŷ = 69.908 +
0.146 *x
=================
intercept= 69.908
-------------------------
slope interpretation=0.146
c)
R² = (Sxy)²/(Sx.Sy) = 0.841 with no units
Se=46.729 unit of thousand dolaars
answer for blanks : 84.1 % , 46.7 thousand dollars
d) option B)
value increases by=0.146 *511 = 74.7 thousand dollars
e)
Predicted Y at X= 2726 is
Ŷ = 69.9083 +
0.1462 *2726= 468.35
residual = 547000 - 46835 = 78.7thousand dollars
a home with this square footage and listing price is not a good deal. because it costs $78700 than most house of this size on average
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