Slope of the true regression line

Reference no: EM13995389

1. Testing the null hypothesis that the slope of the true regression line equals zero is equivalent to testing whether the true coefficient of correlation could be zero. Why?

2. For n 5 15 data points, r2 5 0.81. At the 0.05 level of significance, can we conclude that the true coefficient of correlation could be zero?

3. For n 5 37 data points, r2 5 0.29. At the 0.02 level of significance, can we conclude that the true coefficient of correlation could be zero?

4. Based on sample data, the 90% confidence interval for the slope of the population regression line is found to be from -2.5 to 1.4. Based on this information, what is the most accurate statement that can be made about the p-value in testing H0: /31 5 0 versus H1: /31 * 0? Explain.

Reference no: EM13995389

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