1) (31 Marks in Total) Researchers measured the specific activity of the enzyme

Question

1) (31 Marks in Total) Researchers measured the specific activity of the enzyme sucrase extracted from portions of the intestines of 24 patients who underwent an intestinal bypass. After the sections were extracted, they were homogenized and analyzed for enzyme activity. Two different methods can be used to measure the activity of sucrase: the homogenate method and the pellet method. In general, the pellet method is more time-consuming than the homogenate method, yet it provides a more accurate measure of sucrase activity. Using SPSS output provided, answer parts (a) to j) based on the linear model Al(YIX) fix, where X is the homogenate method and Y is the pellet method N Mean Std. Deviation 52.024 24 30.791 100.155 156.175 24 Valid N (listwise) 24

Explanation / Answer

Part a)

From the output we get the line of regression as below:

y^ = 9.239 + 2.824x

Part b)

The value of r = Ö (SSR/SST) = Ö(173945.330/230715.762) = Ö 0.7539 = 0.868

The value of linear correlation between surcease activity measured using the pallet method and surcease activity measured using the homogenate method is 0.868.

Part c )

Se = Ö (SSE/(n-2)) = Ö[(230715.762 - 173945.33)/22] = 50.7984

Se = 50.7984

Part d)

The value of the test statistics for the slope is 8.210 and the p-value is .000. The p-value is less than the level of significance (.01). We reject the null hypothesis at 1% level of significance and there is sufficient evidence to conclude that there is a linear correlation between surcease activity measured using the pallet method and surcease activity measured using the homogenate method.

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