Question

Ceramic companies suspect that the density of ceramics produced is influenced by the length of time...

Ceramic companies suspect that the density of ceramics produced is influenced by the length of time for burning the ceramics. Therefore, to obtain a high density of ceramics in accordance with company specifications, the company conducted a trial and obtained the following results:

density 132 108 102 115 128
duration of burning 68 64 62 65 66

a. Calculate the correlation coefficient between ceramic density and the length of time of combustion.

b. Make a regression model between ceramic density and the length of time of combustion.

c. If the company makes ceramics by burning it for 63 minutes. What is the estimated density value?

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