Someone wants to know whether the direction of price movements of the general stock market, as measured by the New York Stock Exchange (NYSE)

Composite Index, can be predicted by directional price movements of the New York Futures Contract for the next month. Data on these variables have been collected for a 46-day period and are presented in Table 1.16. The variables are:

INDEX: the percentage change in the NYSE composite index for a one-day period.

FUTURE: the percentage change in the NYSE futures contract for a one-day period.

(a) Make a complete summary of one of these variables.

(b) Construct a scatterplot relating these variables. Does the plot help to answer the question posed?

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Table 1.16 Stock prices. DAY INDEX FUTURE DAY INDEX FUTURE 1 0.58 0.70 24 1.13 0.46 2 0.00 -0.79 25 2.96 1.54 3 0.43 0.85 26 -3.19 -1.08 4 -0.14 -0.16 27 1.04 -0.32 11 12 5698902 -1.15 -0.71 28 -1.51 -0.60 0.15 -0.02 29 -2.18 -1.13 7 -1.23 -1.10 30 -0.91 -0.36 -0.88 -0.77 31 1.83 -0.02 -1.26 -0.78. 32 2.86 0.91 10 0.08 -0.35 33 2.22 1.56 -0.151 0.26 34 -1.48 -0.22 0.23 -0.14 35 -0.47 -0.63 13 -0.97 -0.33 36 2.14 0.91 14 -1.36 -1.17 37 -0.08 -0.02 15 -0.84 -0.46 38 -0.62 -0.41 16 - 1.01 -0.52 39 -1.33 -0.81 17 -0.86 -0.28 40 -1.34 -2.43 18 0.87 0.28 41 1.12 -0.34 19 -0.78 -0.20 42 -0.16 -0.13 20 -2.36 -1.55 43 1.35 0.18 21 0.48 -0.09 44 1.33 1.18. 22 -0.88 -0.44 45 -0.15 0.67 23 0.08 -0.63 46 -0.46 -0.10