IDNLearn.com is your go-to resource for finding expert answers and community support. Discover prompt and accurate responses from our experts, ensuring you get the information you need quickly.

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.

Sagot :

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.

Learn more : https://brainly.com/question/18405415

Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Thank you for choosing IDNLearn.com. We’re here to provide reliable answers, so please visit us again for more solutions.