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Consider the following data points: (36, 88), (67.25, 224.7), (93, 365.3), (141.75, 687), and(483.8, 4332.1). (This was the data Kepler had when he was trying to find a relationship between the distance, in millions of miles, of a planet from the sun and the time, in days, it takes for that planet to goonce around the sun.) Rather than fit a line y = b + mx to these data points (xi, yi), fit a line to the points(log xi, log yi). Use your fitted line to guess a simple relationship between x and y. (In many applicationsto science and social science, data is transformed before regression is employed. The most commonly usedtransformations are power transformations and logarithmic transformations.)
Construct a 96% confidence interval for the mean weight of all firefighters six months after the exercise rooms were installed.
Let D be any deterministic finite automaton. Assume that you know D contains exactly n states and that it accepts at least one string of length n or greater. Show that D must also accept at least one string of length 2n or greater.
in a brand awareness study if 25 of a group of 35 males identify the brand correctly and 15 of a group of 35 females
have them both consider the question and then either give the common answer if they agree or, if they disagree, flip a coin to determine which answer to give?
How might you deal with outliers that are not due to coding errors? Explain your reasoning. Write a sample result section, discussing your data screening activity.
The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.8 auto accidents per day with a variance of 0.0016.
On the basis of these results, do you think retailers and consumers have a right to complain to the manufacturers? Why?
the mean weight of loads of rock is 49.0 tons with a standard deviation of 12.0 tons. if 9 loads are chosen at random
suppose that incoming lots are 0.5 nonconforming. what is the probability of rejecting these lots under both
Be sure the appropriate assumptions and conditions are satisfied before you proceed.
What is the potential capability of this process? Items that are produced below the lower specification limit must be scrapped, while items that are above the upper specification limit can be reworked.
Measures the discrepancy b/w the data and the null hypothesis. We can make large values of T are evidence against H0 in most cases. Explain why?
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