3. Observations on the yield of a chemical reaction taken at various temperatures were recorded as follows. [Taken from Walpole, p437] X(°C) 150 150 200 250 250 300 150 200 200 250 300 300 Y(%) 75.4 81.2 85.5 89.0 90.5 96.7 77.7 84.4 85.7 89.4 94.8 95.3 (a) Plot the data using Excel Office (Choose Scatter Plot). (b) Does it appear from the plot as if the relationship is linear? (c) Calculate manually the Pearson correlation coefficient and interpret the value. (d) Verify Part b using Excel.

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3. Observations on the yield of a chemical reaction taken at various temperatures were
recorded as follows. [Taken from Walpole, p437]
X(°C)
150
150
200
250
250
300
150
200
200
250
300
300
Y(%)
75.4
81.2
85.5
89.0
90.5
96.7
77.7
84.4
85.7
89.4
94.8
95.3
(a) Plot the data using Excel Office (Choose Scatter Plot).
(b) Does it appear from the plot as if the relationship is linear?
(c) Calculate manually the Pearson correlation coefficient and interpret the value.
(d) Verify Part b using Excel.
Transcribed Image Text:3. Observations on the yield of a chemical reaction taken at various temperatures were recorded as follows. [Taken from Walpole, p437] X(°C) 150 150 200 250 250 300 150 200 200 250 300 300 Y(%) 75.4 81.2 85.5 89.0 90.5 96.7 77.7 84.4 85.7 89.4 94.8 95.3 (a) Plot the data using Excel Office (Choose Scatter Plot). (b) Does it appear from the plot as if the relationship is linear? (c) Calculate manually the Pearson correlation coefficient and interpret the value. (d) Verify Part b using Excel.
(e) Test the null hypothesis p = 0.8 against the alternative p > 0.8 at 0.01 level.
(f) Find the p-value of the test in part e.
Transcribed Image Text:(e) Test the null hypothesis p = 0.8 against the alternative p > 0.8 at 0.01 level. (f) Find the p-value of the test in part e.
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