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# Correlation and regression analysis

Regression:
Using the height and weight of five people as listed below.
Height (inches) 67 66 66 62 63
Weight 148 173 131 123 115
Step 1: Calculate correlation coefficient (r) between height and weight.
Step 2: Determine if a significant linear correlation exists between height and weight.
Step 3: Find predicted value (weight) for a person that is 5 feet and 11 inches:
a. If significant linear correlation exists, use regression equation
b. If no significant linear correlation exists, use the sample mean
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Problem 2:
Historical Data Set in 1908, "Student" (William Gosset) published the article "The Probable Error of a Mean" (Biometrika, Vol.6, No. 1). He included the data listed below for two different types of straw seed (regular and kiln dried) that were used on adjacent plots of land. The listed values are the yields of straw in cwt per acre.
a. Using a 0.05 significance level, test the claim that there is no difference between the yields from the two types of seed.
b. Construct a 95% confidence interval estimate of the mean difference between the yields from the two types of seed.
c. Does it appear that either type of seed is better?
Regular 19.25 22.75 23 23 22.5 19.75 24.5 15.5 18 14.25 17
Kiln Dried 25 24 24 28 22.5 19.5 22.25 16 17.25 15.75 17.25

#### Solution Summary

The solution provides step by step method for the calculation of correlation and regression equation . Formula for the calculation and Interpretations of the results are also included.

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