Q1. Occupational prestige scores for a sample of fathers and their oldest son and oldest daughter are presented below. Family Father’s Prestige Son’s Prestige Daughter’s Prestige A 85 82 B 78 80 77 C 75 70 68 D 70 75 77 E 69 72 60 F 66 60 52 G 64 48 48 H 52 55 57 Analyze the relationship between father’s and son’s prestige and the relationship between father’s and daughter’s prestige. For each relationship: A. Draw a scattergram and a freehand regression line. B. Compute the slope (b) and find the Y intercept (a). C. State the least-squares regression line. What prestige score would you predict for a son whose father had a prestige score of 72? What prestige score would you predict for a daughter whose father had a prestige score of 72? D.Assume these families are a random sample and conduct a test of significance for both relationships. E.Describe the strength and direction of the relationships in a sentence or two. Does the occupational prestige of the father have an impact on his children? Does it have the same impact for daughters as it does for sons?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Q1. Occupational prestige scores for a sample of fathers and their oldest son and oldest daughter are
presented below.
Family Father’s Prestige Son’s Prestige Daughter’s Prestige A 85 82 B 78 80 77 C 75 70 68 D 70 75 77 E 69 72 60 F 66 60 52 G 64 48 48 H 52 55 57
Analyze the relationship between father’s and son’s prestige and the relationship between father’s and daughter’s prestige. For each relationship:
A. Draw a scattergram and a freehand regression line.
B. Compute the slope (b) and find the Y intercept (a).
C. State the least-squares regression line. What prestige score would you predict for a son whose
father had a prestige score of 72? What prestige score would you predict for a daughter whose
father had a prestige score of 72? D.Assume these families are a random sample and conduct a test of significance for both relationships. E.Describe the strength and direction of the relationships in a sentence or two. Does the occupational prestige of the father have an impact on his children? Does it have the same impact for daughters as it does for sons?
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