The sample data below are the typing speeds (in words per minute) and reading sp

Question

The sample data below are the typing speeds (in words per minute) and reading speeds (in words per minute) of nine randomly selected secretaries. Here, x denotes typing speed, and y denotes reading speed. a. Calculate the regression line and the standard error of the estimate, s_e. b. At the 10% level of significance, do the data provide sufficient evidence to conclude that the slope of the population regression line, beta_1, is not 0 and hence that typing speed is useful as a predictor of reading speed? c. Calculate the sample linear correlation coefficient and perform a test to determine if the population correlation coefficient, rho, is not 0. d. Compare your answers in b and c, do the conclusions you draw from c match those in b?

Explanation / Answer

Solution:

b) H0: = 0 Ha: 0

Test statistic: t = 0.99

Critical values: t = ±1.895

Do not reject H0. At the 10% significance level, the data do not provide sufficient evidence to conclude that typing speed and reading speed are linearly correlated

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