cm(x) N(y) x^2 xy 5 2.5 25 12.5 5.5 2 30.25 11 6 2.1 36 12.6...

cm(x)	N(y)	x^2	xy
5	2.5	25	12.5
5.5	2	30.25	11
6	2.1	36	12.6
6	1.8	36	10.8
7	1.5	49	10.5

Consider the following small data set of 5 pairs. This table lists the length of a small metal machine piece in cm and the corresponding force in N required to break it. It also contains some calculated values for your convenience.

(a) Calculate the correlation coefficient for this set. What would you conclude about the relationship between these variables? (Strong positive, weak negative, none, etc).

(b) Calculate the equation of the regression line by solving the system like in the slides.

(c) Use your regression equation to estimate the amount of force required to break a piece 8 cm long.

(d) What is r^2 in this case? What does it represent?

Expert Solution

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orchestra answered 2 years ago

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