Table 2.9 gives data on mean Scholastic Aptitude Test (SAT) scores for college-bound seniors for 1967-1990.
a. Use the horizontal axis for years and the vertical axis for SAT scores to plot the verbal and math scores for males and females separately.
b. What general conclusions can you draw?
c. Knowing the verbal scores of males and females, how would you go about predicting their math scores?
d. Plot the female verbal SAT score against the male verbal SAT score. Sketch a regression line through the scatterpoints. What do you observe?
TABLE 2.9 MEAN SCHOLASTIC APTITUDE TEST SCORES FOR COLLEGE-BOUND SENIORS, 1967-1990*
|
Verbal
|
|
|
Math
|
|
Year
|
Males
|
Females
|
Total
|
Males
|
Females
|
Total
|
1967
|
463
|
468
|
466
|
514
|
467
|
492
|
1968
|
464
|
466
|
466
|
512
|
470
|
492
|
1969
|
459
|
466
|
463
|
513
|
470
|
493
|
1970
|
459
|
461
|
460
|
509
|
465
|
488
|
1971
|
454
|
457
|
455
|
507
|
466
|
488
|
1972
|
454
|
452
|
453
|
505
|
461
|
484
|
1973
|
446
|
443
|
445
|
502
|
460
|
481
|
1974
|
447
|
442
|
444
|
501
|
459
|
480
|
1975
|
437
|
431
|
434
|
495
|
449
|
472
|
1976
|
433
|
430
|
431
|
497
|
446
|
472
|
1977
|
431
|
427
|
429
|
497
|
445
|
470
|
1978
|
433
|
425
|
429
|
494
|
444
|
468
|
1979
|
431
|
423
|
427
|
493
|
443
|
467
|
1980
|
428
|
420
|
424
|
491
|
443
|
466
|
1981
|
430
|
418
|
424
|
492
|
443
|
466
|
1982
|
431
|
421
|
426
|
493
|
443
|
467
|
1983
|
430
|
420
|
425
|
493
|
445
|
468
|
1984
|
433
|
420
|
426
|
495
|
449
|
471
|
1985
|
437
|
425
|
431
|
499
|
452
|
475
|
1986
|
437
|
426
|
431
|
501
|
451
|
475
|
1987
|
435
|
425
|
430
|
500
|
453
|
476
|
1988
|
435
|
422
|
428
|
498
|
455
|
476
|
1989
|
434
|
421
|
427
|
500
|
454
|
476
|
1990
|
429
|
419
|
424
|
499
|
455
|
476
|
*Data for 1967-1971 are estimates.