# Covariance and Correlation Calculations

Covariance and Correlation.

Show all work in computing the covariance and coefficient of correlation for the data set:
(-1,10), ( 3,9), (5,7), (9,2). (nearest 0.01)

sxy = _______________ r = ________________

Simple Linear Regression.
1. Consider the data set above. Show work. You may use the values above if you choose, without repeating that part of the calculation. (nearest 0.01)

a) Compute the regression coefficient b1 = ______________.

b) Compute the coefficient b0 = _____________.

c) Use the obtained estimated regression equation to predict the value of y for x = 5. What is the residual associated with the data point (5,7)? Show work.

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#### Solution Preview

...= 70-4*4*7
= -42

r = Sxy / [(Sxx* Syy)^0.5
Sxx = x^2 - -nx^2
= 116 - 4*16
= 52
Syy = y^2 - -ny^2
= 243 -4*49
= 47
r = -42 /√52*47
= -0.8496

Simple Linear Regression.
1. Consider the data set ...