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Q1) A random sample of two variables, x and y produced the following observations
X
Y
19
7
13
9
17
8
11
12
25
6
20
a) Develop scatter plot for two variables and explain what relationship, if any, exists.
b) Calculate correlation coefficient for these sample data.
c) Test to find out whether population correlation coefficient is negative. Use a significance level of 0.05 for hypothesis test.
Use this information to construct a probability table, and then calculate each of the following probabilities:
Let X 1 , X 2 , X 3 , X 4 be a random sample from a Poisson distribution with parameter λ and let Y = X 1 + X 2 + X 3 + X 4 . You decide to test λ = 1.60 versus λ
About what percent of the observations lie between 55 and 65?
Write introduction to SPC (STATISTICAL PROCESS CONTROL)? Describe the use of SPC tools used at D2D?
Find the expected GPA when SAT = 800. Find E (GPA|SAT = 1,400). Comment on the difference.
Which of the following is true about the expected value of perfect information. It is the amount you would pay for any sample study.
Compute and interpret each of the statistics in parts(a) through (f) Mean and Median.
More than 13 successes in 19 trials with a 40 percent chance of success. (Round the answer to 4 decimal places.) Fewer than 7 successes in 15 trials with a 40 percent chance of success. (Round the answer to 4 decimal places.)
Dividend is expected to grow 7% a year for next 3 years and then at 5% a year after that. Determine the expected dividend per share for each of the next five years?
The main purpose of this exercise is to check your understanding of significance level, p-values and power .
To test whether there is a significant mean difference among the three.
Assess the model fit for the multiple linear regression model using appropriate statistics and graphics.
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