Output using excel:
Regression Statistics | ||||||
Multiple R | 0.8721 | |||||
R Square | 0.7605 | |||||
Adjusted R Square | 0.7006 | |||||
Standard Error | 276.5048 | |||||
Observations | 11 | |||||
ANOVA | ||||||
df | SS | MS | F | Significance F | ||
Regression | 2 | 1942115.4562 | 971057.7281 | 12.7011 | 0.0033 | |
Residual | 8 | 611639.0892 | 76454.8862 | |||
Total | 10 | 2553754.5455 | ||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
Intercept | 3890.5497 | 828.7504 | 4.6945 | 0.0016 | 1979.4478 | 5801.6516 |
x1 | -295.9255 | 109.8519 | -2.6939 | 0.0273 | -549.2445 | -42.6065 |
x2 | 0.5523 | 0.2171 | 2.5441 | 0.0345 | 0.0517 | 1.0529 |
formula used:
95% confidence interval :
Lower Bound = 4155.9
Upper bound = 4721.6
95% prediction interval :
Lower Bound = 3741.2
Upper bound = 5136.2
A researcher wants to determine a model to predict the 28-day strength of a concrete mixture....
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As concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in pounds per square inch (psi) of a certain type of concrete. Complete parts (a) through (f) below. 7-Day Strength (psi), x 3340 3380 3330 2300 2480 28-Day Strength (psi), y 4630 5020 4850 4070 4120 (a) Treating the 7-day strength as the explanatory variable, x, use technology to determine the estimates of beta 0 and beta 1. beta 0almost equalsb 0equals nothing (Round to...
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As concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in pounds per square inch (psi) of a certain type of concrete. Complete parts (a) through (f) below. 7-Day Strength (psi), x 3340 3380 3330 2300 2480 28-Day Strength (psi), y 4630 5020 4850 4070 4120 (a) Treating the 7-day strength as the explanatory variable, x, use technology to determine the estimates of beta 0 and beta 1. beta 0almost equalsb 0equals nothing (Round to...
As Concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in psi of a certain type of concrete. Conduct regression analysis for the following data and comment on the coefficient of determination value. Calculate the 28th day strength for the concrete with seventh day strength of 4 psi 7-day 28-day strength, strength, X y 2,300 4,070 3,390 5,220 2,430 4,640 2,890 4,620 3,330 4,850 2,480 4,120 3,380 5,020 2,660 4,890 2,620 4,190 3,340 4,630
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