It seems reasonable to assume that the number of times a tea…

It seems reasonable to assume that the number of times a team punts the ball in a football game would be negatively correlated with the number of points that the team scores (i.e., if a team is forced to punt frequently they are probably not moving the ball very well and probably are not scoring many points).  Number of punts (variable X) and number of points scored (variable Y) for a particular team in a random sample of five games are as follows: Number of Punts, X          Number of Points, Y              2                                         35              5                                         14              3                                         21              2                                         21              2                                         28   What would be the predicted number of points scored if the team punted 4 times in a game?

A study was conducted to determine whether a student’s final…

A study was conducted to determine whether a student’s final grade in a high school math class is linearly related to his or her performance on the math ability test administered before college entrance.  The math test scores and final grades for a random sample of 10 students are shown below. Final Grade in Math Class (X)          Math Ability Test Score (Y) 65                                                             39 78                                                             43 52                                                             21 82                                                             64 92                                                             57 89                                                             47 73                                                             28 98                                                             75 56                                                             34 75                                                             52 Given that the variance of the final grades in the math class (i.e., variable X) is 228.4444 and the variance of the math ability test scores (i.e, variable Y) is 274.8889, calculate the correlation coefficent for the correlation between variables X and Y.

It seems reasonable to assume that ovulation rate and litter…

It seems reasonable to assume that ovulation rate and litter size in pigs would be positively correlated.  In other words, if a sow releases more eggs (i.e., ova) in a given estrus period, she will probably end up producing more pigs in her litter.  Number of eggs ovulated and litter size for a random sample of 6 sows are as follows: Number of Eggs, X       Number of Pigs Born, Y                14                                  7                15                                  7                16                                  9                17                                 10                17                                 10                17                                  11 Use the deterministic component of the straight-line probabilistic model to obtain the predicted litter size if a sow ovulates 17 eggs.

It seems reasonable to assume that the number of times a tea…

It seems reasonable to assume that the number of times a team punts the ball in a football game would be negatively correlated with the number of points that the team scores (i.e., if a team is forced to punt frequently they are probably not moving the ball very well and probably are not scoring many points).  Number of punts (variable X) and number of points scored (variable Y) for a particular team in a random sample of five games are as follows: Number of Punts, X          Number of Points, Y              2                                         35              5                                         14              3                                         21              2                                         21              2                                         28   Calculate the variance of variable X (number of punts in a football game).

A population of cats has a mean weight of 15 lb and a standa…

A population of cats has a mean weight of 15 lb and a standard deviation of the weights equal to 4 lb.  A cat breeder selects a large number of samples of 64 cats each, calculates the mean weight of the cats in each of these samples, and then graphs the sample means. The standard deviation of these sample means is expected to be equal to _______.

Health care issues are receiving a great deal of attention i…

Health care issues are receiving a great deal of attention in both the academic and political arenas.  A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for Medicaid, but who have no private health insurance.  The mean age of the 50 uninsured senior citizens in the survey was 74.04 years and the standard deviation of their ages was 9.75 years.  If we assume that the distribution of ages is symmetric and mound-shaped, what percentage of the respondents in the survey would be expected to be between 64.29 and 83.79 years old?