Has the number of home runs hit by major league teams been increasing over time?

Question

Has the number of home runs hit by major league teams been increasing over time? For the 41 years from 1960 to 2000, the average number of home runs hit per game per team was computed. A simple linear regression was used to study the trend in the average number of home runs over the period 1960 to 2000, by using year to predict average number of home runs. The following results were obtained. Based on these results, we find that the value of the t statistic for testing H0: = 0 is 3.29. We also find that the value of the t statistic for testing H0: 1 = 0 is 3.29. We conclude

Explanation / Answer

df=n-2=41-2=39

The P-Value is .002131.

The result is significant at p < .05.

Accept Alternative Hypothesis

Finally, we make a decision:

The null hypothesis states that the slope is equal to zero, and the alternative hypothesis states that the slope is not equal to zero.

t = b1 / SE

p=0.002131

p<0.05 (alpha)

Accept alternative hypothesis

there is a significant linear relationship between the independent variable X and the dependent variable Y, the slope is not equal zero.

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