Answered

Pearson and Lee obtained the following results in a study of about 1,000 families:average height of husband = 68 inches, SD = 2.7 inchesaverage height of wife = 63 inches, SD = 2.5, r = 0.25Predict the height of a wife when the height of her husband is 64 inches.

Answer :

FICHOHGO

The predicted height of wife using the linear regression model is 62 inches.

General form of a linear regression equation :

  • y = bx + c

  • Slope, b = r(Sy/Sx) = 0.25(2.5/2.7) = 0.2315

  • y = 63 inches ; x = 68 inches

We could obtain the value of intercept, c thus :

63 = 0.2315(68) + c

63 = 15.742 + c

c = 63 - 15.742

c = 47.258

The regression model is thus : y = 0.2315x + 47.258

The value y, when x = 64

Substitute x = 64 into the regression equation ;

  • y = 0.2315(64) + 47.258

  • y = 62.074

Therefore, the predicted height wife is 62 inches.

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