Applicants for a Particular Job,which Involves Extensive Travel in Spanish-Speaking

question 48

Essay

Applicants for a particular job,which involves extensive travel in Spanish-speaking countries,must take a proficiency test in Spanish.The sample data below were obtained in a study of the relationship between the numbers of years applicants have studied Spanish and their score on the test. $$\begin{array} { c | c } \begin{array} { c } \text { Number } \\\text { of years }\end{array} & \text { Score } \\\hline 3 & 57 \\4 & 78 \\4 & 72 \\2 & 58 \\5 & 89 \\3 & 63 \\4 & 73 \\5 & 84 \\3 & 75 \\2 & 48\end{array}$$ Using a 1% level of significance,do the data provide sufficient evidence to conclude that the slope of the regression line is not 0 and hence that number of years of study is useful as a predictor of score on the test?

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