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Question - SAT versus ACT, continued. Refer to the previous exercise. Find the predicted value of ACT for each observation in the data set.
(a) What is the mean of these predicted values? Compare it with the actual mean of the ACT scores.
(b) Compare the standard deviation of the predicted values with the standard deviation of the actual ACT scores. If least-squares regression is used to predict ACT scores for a large number of students such as these, the average predicted value will be accurate but the variability of the predicted scores will be too small.
(c) Find the SAT score for a student who is one standard deviation above the mean (z = (x - x)/s = 1). Find the predicted ACT score and standardize this score. (Use the means and standard deviations from this set of data for these calculations.)
(d) Repeat part (c) for a student whose SAT score is one standard deviation below the mean (z = -1).
(e) What do you conclude from parts (c) and (d)? Perform additional calculations for different z's if needed.
Refer to Exercise 2.97 (p. 106). The data in the value of 50 Beanie Babies collector's items, published in Beanie World Magazine, are reproduced on the next page. Can age (in months as of Sept. 1998) of a Beanie Baby be used to accurately pred..
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Find the prices of 10 different printers for your PC. Compute the mean, median and mode of these prices
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toss five fair coins and let x equal the number of heads observeda. identify the sample points associated with this
Assuming the weight of cereal is normally distributed, determine the likelihood that a package will contain more than 12.2 ounces. Calculate using megastat.
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