The accompanying data shows percentage changes (x)) in a stock market over the first five trading days of each of 11 years and also the corresponding percentage changes (y) in the index over the whole year. If the stock m index increases by 1.0% in the first five trading days of a year, find 95% confidence intervals for the actual and also the expected percentage changes in the index over the whole year. Discuss the distinction between these intervals, E Click on the icon to view the data. Click to view the table of critical values of the Student's t distribution. The 95% confidence interval for the actual percentage change in the index over the whole year runs from to (Round to three decimal places as needed.) The 95% confidence interval for the expected percentage change in the index over the whole year runs from to (Round to three decimal places as needed.) Discuss the distinction between these intervals. Choose the correct answer below. O A. The first interval is a prediction interval, which estimates the value for a single observation, and the second interval is a confidence interval for predictions, which estimates the conditional expected value when the

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The accompanying data shows percentage changes (x;) in a stock market over the first five trading days of each of 11 years and also the corresponding percentage changes (y;) in the index over the whole year. If the stock market
index increases by 1.0% in the first five trading days of a year, find 95% confidence intervals for the actual and also the expected percentage changes in the index over the whole year. Discuss the distinction between these
intervals.
Click on the icon to view the data.
Click to view the table of critical values of the Student's t distribution.
.....
The 95% confidence interval for the actual percentage change in the index over the whole year runs from
to
(Round to three decimal places as needed.)
The 95% confidence interval for the expected percentage change in the index over the whole year runs from
to
(Round to three decimal places as needed.)
Discuss the distinction between these intervals. Choose the correct answer below.
O A. The first interval is a prediction interval, which estimates the value for a single observation, and the second interval is a confidence interval for predictions, which estimates the conditional expected value when the
independent variable is fixed.
B. The first interval is a confidence interval for predictions, which estimates the conditional expected value when the independent variable is fixed, and the second interval is a prediction interval, which estimates the value for
a single observation.
O C. The first interval is a confidence interval for predictions, which estimates the value for a single observation, and the second interval is a prediction interval, which estimates the conditional expected value when the
independent variable is fixed.
O D. The first interval is a prediction interval, which estimates the conditional expected value when the independent variable is fixed, and the second interval is a confidence interval for predictions, which estimates the value for
a single observation.
Transcribed Image Text:The accompanying data shows percentage changes (x;) in a stock market over the first five trading days of each of 11 years and also the corresponding percentage changes (y;) in the index over the whole year. If the stock market index increases by 1.0% in the first five trading days of a year, find 95% confidence intervals for the actual and also the expected percentage changes in the index over the whole year. Discuss the distinction between these intervals. Click on the icon to view the data. Click to view the table of critical values of the Student's t distribution. ..... The 95% confidence interval for the actual percentage change in the index over the whole year runs from to (Round to three decimal places as needed.) The 95% confidence interval for the expected percentage change in the index over the whole year runs from to (Round to three decimal places as needed.) Discuss the distinction between these intervals. Choose the correct answer below. O A. The first interval is a prediction interval, which estimates the value for a single observation, and the second interval is a confidence interval for predictions, which estimates the conditional expected value when the independent variable is fixed. B. The first interval is a confidence interval for predictions, which estimates the conditional expected value when the independent variable is fixed, and the second interval is a prediction interval, which estimates the value for a single observation. O C. The first interval is a confidence interval for predictions, which estimates the value for a single observation, and the second interval is a prediction interval, which estimates the conditional expected value when the independent variable is fixed. O D. The first interval is a prediction interval, which estimates the conditional expected value when the independent variable is fixed, and the second interval is a confidence interval for predictions, which estimates the value for a single observation.
Table of annual stock price changes
Change in the Stock
Market For the Entire
Change in the Stock
Market Over the First
Year
Five Days (%)
Year (%)
0.2
- 0.2
0.3
- 0.1
0.2
1.0
- 0.5
1.3
- 0.1
- 0.2
0.2
- 0.6
- 0.1
0.6
- 0.4
2.2
0.2
- 0.7
0.2
- 0.8
0.2
- 1.3
Print
Done
12 3 4 567 89은E
Transcribed Image Text:Table of annual stock price changes Change in the Stock Market For the Entire Change in the Stock Market Over the First Year Five Days (%) Year (%) 0.2 - 0.2 0.3 - 0.1 0.2 1.0 - 0.5 1.3 - 0.1 - 0.2 0.2 - 0.6 - 0.1 0.6 - 0.4 2.2 0.2 - 0.7 0.2 - 0.8 0.2 - 1.3 Print Done 12 3 4 567 89은E
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