a. Let a and b be constants and let yi = axi 1 b fori = 1,

Chapter 1, Problem 69

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a. Let a and b be constants and let \(y_i=a x_i+b\) for i=1,2, . . . , n. What are the relationships between \(\bar{x}\) and \(\bar{y}\) and between \(s_x^2\) and \(s_y^2\) ?

b. A sample of temperatures for initiating a certain chemical reaction yielded a sample average \(\left({ }^{\circ} \mathrm{C}\right)\) of 87.3 and a sample standard deviation of 1.04. What are the sample average and standard deviation measured in \({ }^{\circ} \mathrm{F}\) ? [Hint: \(.F=\frac{9}{5} C+32.\)]

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