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Question: Always plot your data! A skeptic might wonder if the four very different data sets in Table really do have the same correlation and least-squares line. Verify that (to a close approximation) the least-squares line is y = 3+0.5x, as given in Exercise.
Exercise: Always plot your data! Table presents four sets of data prepared by the statistician Frank Anscombe to illustrate the dangers of calculating without first plotting the data. All four sets have the same correlation and the same least-squares regression line to several decimal places. The regression equation is
y = 3 + 0.5x
(a) Make a scatterplot for each of the four data sets and draw the regression line on each of the plots. (To draw the regression line, substitute x = 5 and x = 10 into the equation. Find the predicted y for each x. Plot these two points and draw the line through them on all four plots.)
(b) In which of the four cases would you be willing to use the regression line to predict y given that x = 10? Explain your answer in each case.
What is the height of the density curve between 0 and 2? Draw a graph of the density curve.- Use your graph from (a) and the fact that probability is area under the curve to find P(Y ≤ 1.6).
Identify a decision process within your work or business interests that could be resolved based on data.
Imagine there are exactly m opportunities to cross safely by the time the nth shock occurs. What is the probability that the mth opportunity is a close call (that it occurs immediately before the nth shock).
What is the projected demand for the test equipment for time period 25 based upon using a 3-month moving average forecast model - What are the bias, mean absolute deviation
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What is the probability that a cereal would either high calorie or high fiber? In other words, what is P(high calorie or high fiber)?
What percentage of values would you expect to be out of bounds when the process is in control? Accordingly, how would you define "too many"?
IQ scores form a normal distribution with µ = 100 and σ = 15. Individuals with IQs above 140 are classified in the genius category. What proportion of the population consists of geniuses? Individuals between 90 and 110 are classified as average. W..
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A researcher believes that if she uses a different text the students will score differently on the standardized test but she doesn't know what the difference is. The test had a mean of 110 and a σ of 12.
the regression equation relating putting distance in feet and success rate percent for golfers based on 11 distances
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