Linear Regression Application The compressive strength of concrete after curing

Question

Linear Regression Application

The compressive strength of concrete after curing for 28 days is a function of the temperature at which it was cured. A chart with strength vs. curing temperature data is listed below:

1. Use this data to create a model that relates curing temperature to strength. Then use this model to determine the compressive strength (in MPa) that a sample cured at 40 degrees Fahrenheit would have.

A) 5.947

B) 9.285

C) 9.961

D) 12.249

E) 17.282

F) 37.415

G) 43.176

H) 57.269

I) 58.570

J) 58.733

2. What percentage of variability is accounted by your model of temperature vs. strength?

A) 0.5

B) 4.6

C) 8.2

D) 31.7

E) 48.8

F) 50.7

G) 68.9

H) 76.9

I) 87.3

J) 95.9

Thank you for any help!

Curing Temperature (degrees F) Cured Strength (Mpa) 54 40.1 63 40.9 72 37.3 80 31.4 88 35.6 100 33.3 104 33.5 118 27.1

Explanation / Answer

using minitab

we find that

Cured Strength (Mpa) = 50.55 - 0.1844 Curing Temperature (degrees F)

=43.174

1) option G IS answer

2) F) 50.7

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