As concrete cures it gains strength. The following data represents the 7 day and 28 day Ustrength (in pounds per square inch) of a certain type of concrete. 7 Day Strength, x 28 Day Strength, y 2300 4070 3390 5220 2430 4640 2890 4620 3330 2480

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ERASABLE
As concrete cures it gains strength. The following data represents the 7 day and 28 day
Ustrength (in pounds per square inch) of a certain type of concrete.
7 Day Strength, x
28 Day Strength, y
2300
4070
3390
5220
2430
4640
2890
4620
3330
4850
2480
4120
3380
5020
2660
4890
4190
sls wi be
2620
3340
4630
a) Catculate r
b) Calculate the leastreg.essien tine
Ce
Let
Cest whener there isS a linear relationship between 7-day strengthan8-day strength
d) Construct a 95% Confidence Interval for the slope of the regression line
e) Construct a 95% Confidence Interval for the predicted mean 28-day strength of concrete
whose 7-day strength is 3000 psi. Let x*=3000
f) Construct a 95% Prediction Interval for the predicted mean 28-day strength of concrete
whose 7-day strength is 3000 psi. Let x*=3000
1o.1.34E+08 -23820.4625d
a)=JE 10.84798400-(28820
•2.16E to9-C46250)2=
こり.7524
10 •1.34E to8-2 8820•46250
b) =
L0-84798400 -(2882013
:0.6764 46250
lo
2820
°-2675.562
0.6764.
1=2675. 562. 4 o.6764X
C)
0.7584. Jio-2
- 3.2917
Pe 2.2.P(IS 3.2117) <10.0l094니
we Eum revect the nullnypIna o
foue ved
Etrone
geoof
ite
Transcribed Image Text:ERASABLE As concrete cures it gains strength. The following data represents the 7 day and 28 day Ustrength (in pounds per square inch) of a certain type of concrete. 7 Day Strength, x 28 Day Strength, y 2300 4070 3390 5220 2430 4640 2890 4620 3330 4850 2480 4120 3380 5020 2660 4890 4190 sls wi be 2620 3340 4630 a) Catculate r b) Calculate the leastreg.essien tine Ce Let Cest whener there isS a linear relationship between 7-day strengthan8-day strength d) Construct a 95% Confidence Interval for the slope of the regression line e) Construct a 95% Confidence Interval for the predicted mean 28-day strength of concrete whose 7-day strength is 3000 psi. Let x*=3000 f) Construct a 95% Prediction Interval for the predicted mean 28-day strength of concrete whose 7-day strength is 3000 psi. Let x*=3000 1o.1.34E+08 -23820.4625d a)=JE 10.84798400-(28820 •2.16E to9-C46250)2= こり.7524 10 •1.34E to8-2 8820•46250 b) = L0-84798400 -(2882013 :0.6764 46250 lo 2820 °-2675.562 0.6764. 1=2675. 562. 4 o.6764X C) 0.7584. Jio-2 - 3.2917 Pe 2.2.P(IS 3.2117) <10.0l094니 we Eum revect the nullnypIna o foue ved Etrone geoof ite
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