Use Computer Software to Find the Best Multiple Regression Equation $X _ { 1 } , X _ { 2 } , X _ { 3 }$

question 50

Multiple Choice

Use computer software to find the best multiple regression equation to explain the variation in the dependent variable, Y, in terms of the independent variables, $X _ { 1 } , X _ { 2 } , X _ { 3 }$$\begin{array} { c c c c l } Y & X _ { 1 } & X _ { 2 } & X _ { 3 } & \\ 456 & 9896 & 29.1 & 1 & \\ 421 & 9680 & 42.3 & 2 & \\ 653 & 10449 & 29.8 & 3 & \\ 573 & 10811 & 26.0 & 4 & \text { CORRELATION COEFFICIENTS } \\ 546 & 10014 & 34.3 & 5 & \\ 499 & 10293 & 22.7 & 6 & Y / X _ { 1 } = 0.509 \\ 504 & 9413 & 24.2 & 7 & Y / X _ { 2 } = 0.280 \\ 611 & 9860 & 31.6 & 8 & Y / X _ { 3 } = 0.930 \\ 646 & 9782 & 25.6 & 9 & \\ 789 & 12139 & 37.9 & 10 & \text { COEFFICIENTS OF DETERMINATION } \\ 773 & 12166 & 33.9 & 11 & \\ 753 & 9976 & 37.4 & 12 & \text { YI } X _ { 1 } = 0.259 \\ 852 & 10645 & 27.0 & 13 & Y / X _ { 2 } = 0.079 \\ 755 & 9738 & 31.5 & 14 & Y / X _ { 3 } = 0.864 \\ 815 & 9933 & 39.9 & 15 & Y / X _ { 1 } , X _ { 3 } = 0.880 \\ 902 & 10132 & 25.3 & 16 & Y / X _ { 1 } , X _ { 2 } , X _ { 3 } = 0.884 \\ 986 & 11145 & 30.4 & 17 & \\ 909 & 9775 & 32.7 & 18 & \\ 945 & 9549 & 35.0 & 19 & \\ 866 & 10077 & 33.8 & 20 & \\ 1178 & 11550 & 29.4 & 21 & \\ 1230 & 10600 & 37.1 & 22 & \\ 1207 & 11280 & 42.9 & 23 & \\ 968 & 12100 & 32.2 & 24 & \\ 1118 & 12420 & 30.5 & 25 & \end{array}$

• A) \(\hat { Y } = 57.8 + 0.036 X _ { 1 } + 28.1 X _ { 3 }\)
• B) \(\hat { Y } = - 21.1 + 0.36 X _ { 1 } + 2.62 X _ { 2 } + 27.6 X _ { 3 }\)
• C) \(\hat { Y } = 201.7 + 0.40 X _ { 1 } + 22.3 X _ { 3 }\)
• D) \(\hat { Y } = 308.6 + 29.9 X _ { 3 }\)

Discuss the serial position effect and its implications for memory recall.

Comprehend the concept of state-dependent memory and its influence on the recall of learned information.

Identify and analyze encoding failures and the factors contributing to failure in memory consolidation.

Explain the encoding specificity principle and its role in memory recall.

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