An article studying the effect of temperature on the pH of skim milk reported the
following data. x= temperature and Y=milk pH and n=16
(1) Given that
Σ X 678, Σ Y 104.5, Σ X平方 36056, Σ Y平方 682.905, Σ XY 4376.20
Please compute the correlation coefficient.(4%)
(2) The following computer output is obtained on the data.
Regression Analysis
Variable......Coefficient.........Standard Deviation....t value.......p-value
Intercept.......6.83197..................0.02140........... 319.24....... 0.000
X...............-0.0070965..............0.0004508............15.74.........0.000
s=0.0385852 ; R-square=0.9465;R-square(adjusted)=0.9427
Do the data suggest that there is a negative linear relationship between temperature
and milk pH? Carry out a test of hypothesis at the 0.01 level. (5%)
(3) Use the fitted model to given an estimate of the mean milk pH when the
temperature is 50。C and a standard error of the estimate. (5%)
此題需要幫我解第三題 Use the fitted model
The following table contains the partial information of a fitted simple linear
regression model,Y=B0+B1X based on 15 observations. Restore the
following table by filling in the missing entries, (A), (B), (C), (D), (E), (F), (G),
(H), (I), (J),
Analysis of the Variance
Freedom.......Sum ofSquares.......Mean Square......F-value
Regression (A)................841.766.....................(B)............156.886
Error (C)...................(D)..........................(E)
Total (F)...................(G)
Regression Analysis
Variable...Coefficient...Standard Deviation....t value
Intercept.....10.278...........1.42.....................(H)
X.....................(I)............0.393.....................(J)
此題需要幫我解 I 跟 J
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