6. In a certain class, midterm scores average out to 70 with an SD of 10, and final exam scores average out to 60 with an SD of 15. The correlation between midterm scores and final exam scores is about 0.60. (a) Estimate the average final exam score for the students whose midterm scores were (1) 90 (1) 20 (1) 60 (iv) 70 (b) Plot your regression estimates and use them to draw the regression line. 7. In a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and again at age 35. The following results are obtained. age 18: average scores 100, SD N 15 age 35: average score 100, SD 15, 0.80 (a) Estimate the average score at age 35 for all the individuals who scored 115 at age 18. (b) Predict the score at age 35 for an individual who scored 115 at age 18. 8. In one study, the correlation between the educational level of husbands and wives in a certain town was about 0.50; both averaged 12 years of schooling completed, with an SD of 3 years. (a) Predict the educational level of a woman whose husband has completed 18 years of schooling. (b) Predict the educational level of a man whose wife has completed 15 years of schooling. (c) Apparently, well-educated men marry women who are less well educated than themselves. But the womèn marry men with even less education. How is this possible? 9. In a study of a representative group of men, the correlation between height and weight was 0.43. One man in the study was both two SDS above average in height and two SDs above average in weight. His weight will be (1) larger than (ii) smaller than (iii) equal to the estimated average weight of all men of his height in the study. Explain your choice.
6. In a certain class, midterm scores average out to 70 with an SD of 10, and final exam scores average out to 60 with an SD of 15. The correlation between midterm scores and final exam scores is about 0.60. (a) Estimate the average final exam score for the students whose midterm scores were (1) 90 (1) 20 (1) 60 (iv) 70 (b) Plot your regression estimates and use them to draw the regression line. 7. In a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and again at age 35. The following results are obtained. age 18: average scores 100, SD N 15 age 35: average score 100, SD 15, 0.80 (a) Estimate the average score at age 35 for all the individuals who scored 115 at age 18. (b) Predict the score at age 35 for an individual who scored 115 at age 18. 8. In one study, the correlation between the educational level of husbands and wives in a certain town was about 0.50; both averaged 12 years of schooling completed, with an SD of 3 years. (a) Predict the educational level of a woman whose husband has completed 18 years of schooling. (b) Predict the educational level of a man whose wife has completed 15 years of schooling. (c) Apparently, well-educated men marry women who are less well educated than themselves. But the womèn marry men with even less education. How is this possible? 9. In a study of a representative group of men, the correlation between height and weight was 0.43. One man in the study was both two SDS above average in height and two SDs above average in weight. His weight will be (1) larger than (ii) smaller than (iii) equal to the estimated average weight of all men of his height in the study. Explain your choice.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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Transcribed Image Text:6. In a certain class, midterm scores average out to 70 with an SD of 10, and
final exam scores average out to 60 with an SD of 15. The correlation between
midterm scores and final exam scores is about 0.60.
(a) Estimate the average final exam score for the students whose midterm
scores were
(1) 90 (1) 20 (1) 60 (iv) 70
(b) Plot your regression estimates and use them to draw the regression line.
7. In a study of the stability of IQ scores, a large group of individuals is tested
once at age 18 and again at age 35. The following results are obtained.
age 18: average scores 100, SD N 15
age 35: average score 100, SD 15, 0.80
(a) Estimate the average score at age 35 for all the individuals who scored
115 at age 18.
(b) Predict the score at age 35 for an individual who scored 115 at age 18.
8. In one study, the correlation between the educational level of husbands and
wives in a certain town was about 0.50; both averaged 12 years of schooling
completed, with an SD of 3 years.
(a) Predict the educational level of a woman whose husband has completed
18 years of schooling.
(b) Predict the educational level of a man whose wife has completed 15 years
of schooling.
(c) Apparently, well-educated men marry women who are less well educated
than themselves. But the womèn marry men with even less education.
How is this possible?
9. In a study of a representative group of men, the correlation between height
and weight was 0.43. One man in the study was both two SDS above average
in height and two SDs above average in weight. His weight will be
(1) larger than
(ii) smaller than
(iii) equal to
the estimated average weight of all men of his height in the study. Explain
your choice.
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