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(b) statistic based on the observed data. Keep the second decimal place in your final answer. Write down the formula of the t statistic for the test in Part (a) and calculate the value of the test

(b) statistic based on the observed data. Keep the second decimal place in your final answer. Write down the formula of the t statistic for the test in Part (a) and calculate the value of the test

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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(b) statistic based on the observed data. Keep the second decimal place in Write down the formula of the t statistic for the test in Part (a) and calculate the value of the test your final answer.
Transcribed Image Text:(b) statistic based on the observed data. Keep the second decimal place in Write down the formula of the t statistic for the test in Part (a) and calculate the value of the test your final answer.
Information about ocean weather can be extracted from radar returns with the aid of a special algorithm. A study is conducted to estimate the difference in wind speed as measured on the ground and via the Seasat satellite. To do so, wind speeds (miles per hour) are measured on the ground and via the Seasat satellite simultaneously at 12 special times. The data is shown in the following table. The table also shows the difference between the wind speed on the ground and that via the Seasat satellite at each time, as well as some summary statistics. Difference Time Ground (x) Satellite (y) d = x – y 1 4.46 4.08 0.38 3.99 3.94 0.05 3.73 5.00 -1.27 4 3.29 5.20 -1.91 4.82 3.92 0.90 6. 6.71 6.21 0.50 7 4.61 5.95 -1.34 8 3.87 3.07 0.80 9. 3.17 4.76 -1.59 10 4.42 3.25 1.17 11 3.76 4.89 -1.13 12 3.30 4.80 -1.50 d = -0.41 Sd = 1.14
Transcribed Image Text:Information about ocean weather can be extracted from radar returns with the aid of a special algorithm. A study is conducted to estimate the difference in wind speed as measured on the ground and via the Seasat satellite. To do so, wind speeds (miles per hour) are measured on the ground and via the Seasat satellite simultaneously at 12 special times. The data is shown in the following table. The table also shows the difference between the wind speed on the ground and that via the Seasat satellite at each time, as well as some summary statistics. Difference Time Ground (x) Satellite (y) d = x – y 1 4.46 4.08 0.38 3.99 3.94 0.05 3.73 5.00 -1.27 4 3.29 5.20 -1.91 4.82 3.92 0.90 6. 6.71 6.21 0.50 7 4.61 5.95 -1.34 8 3.87 3.07 0.80 9. 3.17 4.76 -1.59 10 4.42 3.25 1.17 11 3.76 4.89 -1.13 12 3.30 4.80 -1.50 d = -0.41 Sd = 1.14
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