2. As concrete cures it gains strength. The following data represents the 7 day and 28 day strength (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 2620 4190 3340 4630 a) Calculate r b) Calculate the least regression line c) Test whether there is a linear relationship between 7-day strength and 28-day strength. Let a=0.05

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1:30 PM Wed Apr 21
* 75%
88 Q
Apple Pencil
•..
100%
Untitled Notebook (1)
Stats Exam
e) Constret Confalenct Iorval or the predict
áge Tor a 75 ycar ola male. Let x*=75
A50
Const
ea
Prediction Interval for the predd age fo a
ale. Let x*-75
2. As concrete cures it gains strength. The following data
represents the 7 day and 28 day strength (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
2620
4190
3340
4630
a) Calculate r
b) Calculate the least regression line
c) Test whether there is a linear relationship between 7-day
strength and 28-day strength. Let a=0.05
d) Construct a 95% Confidence Interval for the slope of the
Transcribed Image Text:1:30 PM Wed Apr 21 * 75% 88 Q Apple Pencil •.. 100% Untitled Notebook (1) Stats Exam e) Constret Confalenct Iorval or the predict áge Tor a 75 ycar ola male. Let x*=75 A50 Const ea Prediction Interval for the predd age fo a ale. Let x*-75 2. As concrete cures it gains strength. The following data represents the 7 day and 28 day strength (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 2620 4190 3340 4630 a) Calculate r b) Calculate the least regression line c) Test whether there is a linear relationship between 7-day strength and 28-day strength. Let a=0.05 d) Construct a 95% Confidence Interval for the slope of the
1:30 PM Wed Apr 21
* 75%
88 Q
Stats Exam
•..
Untitled Notebook (1)
Stats Exam
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
75 of 87
|
Transcribed Image Text:1:30 PM Wed Apr 21 * 75% 88 Q Stats Exam •.. Untitled Notebook (1) Stats Exam 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 75 of 87 |
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