An engineering student has a summer job with the forestry service. He measured the tree trunk…

Sampling distribution of the mean, and using X¯ as an estimator for the parameter µ… 1 answer below »
December 17, 2021
Sketch a scatter plot from the following data and determine the equation of the regression line. 1 answer below »
December 17, 2021

An engineering student has a summer job with the forestry service. He measured the tree trunk diameters (x) and related them to the age of the tree (y). The following information was obtained:

n = 6, ∑x=21, ∑x2 = 91, ∑y = 26 4, ∑y2 = 142.52, ∑xy = 113.8

a) Find:

i) the regression equation of y on x

ii) the correlation coefficient between x and y.

b) Assuming that graphical checks are satisfactory, test whether the regression coefficient is significantly different from 0 at the 1% level of significance.

 
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