The data below are the temperatures on randomly chosen days during a winter class and the number of absences on those days. Assume variable x and y have significant correlation.
Temperature (X) | 38 | 26 | 20 | 22 | 11 | 32 | -5 | 16 | 22 |
Number of Absences (Y) | 0 | 3 | 6 | 4 | 9 | 2 | 15 | 8 | 5 |
a) Sketch a scatter-plot and find the sample correlation coefficient (with correct symbol).
b) Perform a hypothesis test to determine if significant linear correlation exists at 5% level of significance. Indicate calculator function used.
c) State the hypothesis.
d) Find the standardized test statistic, include the correct symbol, and indicate calculator function used.
e) Draw the distribution, shading the tail(s) and labeling the values.
f) Make your decision and state why.
g) If there is a significant correlation found, write a regression equation for the given information. Show symbols and calculator function.
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