Statistics Problem: Merger Trends
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The accompanying data indicate the number of mergers that took place in an industry over a 19-year period.
Year Mergers Year Mergers Year Mergers
1 23 8 64 14 150
2 23 9 47 15 165
3 31 10 96 16 192
4 23 11 125 17 210
5 32 12 140 18 250
6 32 13 160 19 300
7 42
a) Fit a least squares trend line to the merger data.
b) What type of trend (linear or curved) might best fit to this time series?
c) Compute the forecast for year 20 based on the trend (linear or curved) that best fits the data?
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The expert examines merger trends for statistics problems. The equation for regressions are provided.
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b) From the scatter plot, ...
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- BSc , Wuhan Univ. China
- MA, Shandong Univ.
Recent Feedback
- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
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