In the 1970s the weight (in thousand lbs), maximum speed (in knots) and range (in Nautical miles) of various fighter aircraft were recorded. Some of this data is given in Table 9: Weight 9.07 Table 9 Maximum Speed 416 Range 688

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In the 1970s the weight (in thousand lbs), maximum speed (in knots) and range (in Nautical miles)
of various fighter aircraft were recorded. Some of this data is given in Table 9:
Weight
9.07
11.46
12.98
14.10
(1)
12.38
16.17
23.55
21.25
32.51
27.50
Table 9
Maximum Speed
416
474
590
513
515
601
607
470
546
612
Range
688
752
900
1456
479
845
2127
1238
1280
1450
Considering just the data in Table 9, answer the following questions:
State the number of variables and the number of observations. Write down the values of
X13 and X21-
(11)
Calculate the mean vector for the data in Table 9.
(111) The correlation between maximum speed and range is roughly the same as the
correlation between maximum speed and weight. However the covariance between
maximum speed and range is many times bigger than the covariance between the
maximum speed and weight. Explain why the correlations can be similar but the
covariances can be very different.
Transcribed Image Text:In the 1970s the weight (in thousand lbs), maximum speed (in knots) and range (in Nautical miles) of various fighter aircraft were recorded. Some of this data is given in Table 9: Weight 9.07 11.46 12.98 14.10 (1) 12.38 16.17 23.55 21.25 32.51 27.50 Table 9 Maximum Speed 416 474 590 513 515 601 607 470 546 612 Range 688 752 900 1456 479 845 2127 1238 1280 1450 Considering just the data in Table 9, answer the following questions: State the number of variables and the number of observations. Write down the values of X13 and X21- (11) Calculate the mean vector for the data in Table 9. (111) The correlation between maximum speed and range is roughly the same as the correlation between maximum speed and weight. However the covariance between maximum speed and range is many times bigger than the covariance between the maximum speed and weight. Explain why the correlations can be similar but the covariances can be very different.
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