Analysis of Summary Data: Heights, Distributions, Regression Lines, and Correlation Coefficients
Various statistical concepts including variance calculation, expected values in random variables, regression line equations, product moment correlation coefficients, skewness, probability events, and standard deviation formulas.
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Presentation Transcript
The heights (x cm) of a group of 100 women were recorded. The summary data is as follows ??2= 2 926 225 ?? = 17100 Work out the variance B A 4.61 171.12 C D 32.35 21.25 Stats 1
The random variable x has the following distribution: x -1 1 20 0 3 20 1 1 4 2 1 10 3 3 10 P(X=x) Find E(X) 77 10 17 5 B A 7 5 13 10 C D Stats 1
The random variable x has the following distribution: x -1 1 20 0 3 20 1 1 4 2 1 10 3 3 10 P(X=x) Given that ? = ?? ? find ?(? ?) 13 20 1 5 B A 19 3 C D 1 Stats 1
Given that the coding ? = ? + 2 and ? = ? 3 has been used to get the regression equation ? + ? = 5 find the equation of the regression line of ? on ? in the form y = ? + ?? B A ? + ? = 6 ? = 4 ? C D ? = 6 ? ? + ? = 4 Stats 1
Given the following summary data calculate ??? n = 15 ? = 176.9 ? = 679 x2= 2576.47 y2= 39771 ?? = 9915.3 B A 490.23 9034.93 C D 39119.6 458389.6 Stats 1
Given the following summary data calculate the product moment correlation coefficient (r) ???= 490.23 ???= 9034.93 ???= 1907.63 B A 0.118 4.29 C D 0.906 9.343 Stats 1
Which of the following describes a positive skew? A ?2 ?1< ?3 ?2 B ?2 ?1> ?3 ?2 C ???? < ?????? < ???? D ???? > ?????? > ???? Stats 1
There are two events such that P A = 0.45 , ? ? = 0.3 and ? ? ? = 0.03 . Find ? ? ? B A 0.42 0.0 6 C D 0.4 9 0 0.1 Stats 1
Which of the following is the correct formula for standard deviation? 2 ?2 ? ?2 ? ? ? ? B A ? 2 2 ?2 ? ? ? ?2 ? ? ? C D Stats 1
Find ?(? ?) ? ? 4 15 1 15 2 15 8 15 4 5 A B 15 15 1 1 3 C D 15 Stats 1
The random variable ?~?(100,225) Find the z value such that ? ? > ? = ?.??? A B 0.8365 0.8365 C D 1.96 1.96 Stats 1
The random variable ?~?(100,225) Find the variable of ? such that ? ? > ? = ?.??? A B 341 70.6 C D 129.4 29 Stats 1
What is the frequency for 25-50? 1 ? ? > ? = ?.??? 0.8 0.6 0.4 0.2 0 A B 0.6 41.67 C D 15 30 Stats 1
The heights of a large group of men are normally distributed with a mean of 175cm and a standard deviation of 4cm. A man is randomly selected from the group. Find the z value for a height of 170cm B A ? = 0.3125 ? = 1.25 C D ? = 1.25 ? = 0.3125 Stats 1
The heights of a large group of men are normally distributed with a mean of 175cm and a standard deviation of 4cm. A man is randomly selected from the group. Find the probability that the man is shorter than 170cm B A 0.2133 0.8944 C D 0.1056 0.8925 Stats 1
