Answer:
a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l
while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.
b) 10.878
c) S ≈ 1.99
Step-by-step explanation:
a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l
while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.
<u>B) Point estimate of true average calcium content </u>
Given that dissolved material = 50 mg/cm^2
= 3.678 + 0.144 * dissolved material
= 3.678 + 7.2 = 10.878
<u>C) Determine an estimate of error standard deviation </u>
Given that ; sum of squares ( SST ) = 320.398
COD ( r ) = 0.86
first; calculate the value of SSE = SST - SST ( r^2 )
SSE = 320.398 - 320.398 ( 0.86) ^2
= 83.43
Finally ; determine the estimate of error standard deviation
S^2 = SSE / n -2
= 83.43 / 23 - 2
∴ S ≈ 1.99
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