The owner of a small factory that produces working gloves is concerned about the high cost of
Question:
a. Do the pairs of gloves produced depend on temperature, or does temperature depend on pairs of gloves produced? Do you expect a positive or a negative relationship between these two variables?
b. Taking temperature as an independent variable and pairs of gloves produced as a dependent variable; compute SSxx, SSyy, and SSxy.
c. Find the least squares regression line.
d. Interpret the meaning of the values of a and b calculated in part c.
e. Plot the scatter diagram and the regression line.
f. Calculate r and r2, and explain what they mean.
g. Compute the standard deviation of errors.
h. Predict the number of pairs of gloves produced when x = 74.
i. Construct a 99% confidence interval for B.
j. Test at a 5% significance level whether B is negative.
k. Using α = .01 can you conclude that p is negative?
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