In College Photo Physical Attractiveness At Age 52 Positivity of Facial Expression Negative emotionality .04 -.27 Nurturance -.06 .22 Well-being .03 .27
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Harker and Keltner (2001) examined whether emotional well-being in later life could be predicted from the facial expressions of 141 women in their college yearbook photos. The predictor variable of greatest interest was the “positivity of emotional expression” in the college yearbook photo. They also had these photographs rated on physical attractiveness. They contacted the same women for follow-up psychological assessments at age 52 (and at other ages; data not shown here). Here are the
a. Which of the six correlations above are statistically significant (i) if you test each correlation using α = .05, two-tailed, and (ii) if you set EWα = .05 and use Bonferroni-corrected tests?
b. How would you interpret their results?
c. Can you make any causal inferences from this study? Give reasons.
d. Would it be appropriate for the researchers to generalize these findings to other groups, such as men?
e. What additional information would be available to you if you were able to see the scatter plots for these variables?
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- The cost of attending your college has once again gone up. Although you have been told that education is investment in human capital, which carries a return of roughly 10% a year, you (and your parents) are not pleased. One of the administrators at your university/college does not make the situation better by telling you that you pay more because the reputation of your institution is better than that of others. To investigate this hypothesis, you collect data randomly for 100 national universities and liberal arts colleges from the 2000-2001 U.S. News and World Report annual rankings.Next you perform the following regression cost^= = 7,311.17 + 3,985.20 × Reputation – 0.20 × Size (2,058.63) (664.58) (0.13) + 8,406.79 × Dpriv – 416.38 × Dlibart – 2,376.51 × Dreligion(2,154.85) (1,121.92) (1,007.86) R2=0.72, SER=3,773.35 where Cost is Tuition, Fees, Room and Board in dollars, Reputation is the index used in U.S. News and World…The cost of attending your college has once again gone up. Although you have been told that education is investment in human capital, which carries a return of roughly 10% a year, you (and your parents) are not pleased. One of the administrators at your university/college does not make the situation better by telling you that you pay more because the reputation of your institution is better than that of others. To investigate this hypothesis, you collect data randomly for 100 national universities and liberal arts colleges from the 2000-2001 U.S. News and World Report annual rankings.Next you perform the following regression cost^= = 7,311.17 + 3,985.20 × Reputation – 0.20 × Size (2,058.63) (664.58) (0.13) + 8,406.79 × Dpriv – 416.38 × Dlibart – 2,376.51 × Dreligion(2,154.85) (1,121.92) (1,007.86) R2=0.72, SER=3,773.35 where Cost is Tuition, Fees, Room and Board in dollars, Reputation is the index used in U.S. News and World…Researchers Regine Dilla and associates wanted to determine whether consumption of cola is associated with lower bone mineral density. They looked at 1125 men and 1413 women in the Framingham Osteoporosis Study, which is a cohort that began in 1971. The first examination in this study began between 1971 and 1975, with participants returning for an examination every 4 years. Based on results of questionnaires, the researchers were able to determine cola consumption on a weekly basis. Analysis of the results indicated that women who consumed at least one cola per day (on average) had a bone mineral density that was significantly lower at the femoral neck than those who consumed less than one cola per day. The researchers did not find this relation in men. (a)Why is this a cohort study? (b)What is the response variable in this study? What is the explanatory variable? (c)Is the response variable qualitative or quantitative?
- Car owner: Collect data in the following table about foreign cars and local cars through customers whose age is under 30 years, at 30 years and over 30 years at a significant degree of 1%. The hypothesis says that the type of car purchased, foreign or local, is not related to the buyers' ages (independence)?The average drying time of a manufacturer’s paint is 20 minutes. Investigating the effectiveness of a modifica-tion in the chemical composition of her paint, the manu-facturer wants to test the null hypothesis μ = 20 minutes against a suitable alternative, where μ is the average dry-ing time of the modified paint. (a) What alternative hypothesis should the manufactureruse if she does not want to make the modification in thechemical composition of the paint unless it decreases thedrying time?(b) What alternative hypothesis should the manufactureruse if the new process is actually cheaper and she wants tomake the modification unless it increases the drying timeof the paint?two types of preoperative skin preparation before performing open heart surgery. These two preparations used aqueous iodine and insoluble iodine. Do these data provide sufficient evidence at the α = 0.05 level to justify the conclusion that they type of skin preparation and infection are associated?
- In a study conducted in the Science Department of Faculty of Science, Technology and Human Development in a University; the researcher examined the influence of the drug succinylcholine on the circulation levels of androgens in the blood. Blood samples from wild, free-ranging deer were obtained via the jugular vein immediately after an intramuscular injection of succinylcholine using darts and a capture gun. Deer were bled again approximately 30 minutes after the injection and then released. The level of androgens at time of capture and 30 minutes later, measured in nanograms per milliliter (ng/ml), for 15 deers as in Table Q1. Assuming that the populations of androgen at time of injection and 30 minutes later are normally distributed:i) Find the average and standard deviation of this studyii)Determine the critical region of this problem.iii) Test at the 0.05 level of significance whether the androgen concentrations are altered after 30 minutes of restraint.That animal species produce more offspring when their supply of food goes up isn’t surprising. That some animals appear able to anticipate unusual food abundance is more surprising. Red squirrels eat seeds from pine cones, a food source that occasionally has very large crops (called seed masting). What is striking is that the offspring are conceived in the spring, before the cones mature in the fall to feed the new young squirrels through the winter. Here are data on an index of the abundance of pine cones and average number of offspring per female over 16 years: Pine Index x 0 2.02 0.25 3.22 4.68 0.31 3.37 3.09 2.44 4.81 1.88 0.31 1.61 1.88 0.91 1.04 Offspring y 1.49 1.1 1.29 2.71 4.07 1.29 3.36 2.41 1.97 3.41 1.49 2.02 3.34 2.41 2.15 2.12 (a) Describe the relation between the variable x (Pine index) and the variable y (offspring) using the correlation factor r. Explain what r tells us about the relation. (b) Find the expected y value for a year when the Pine…What are the requirements for an experiment to be able to show that changes in one variable cause changes in another?