What is the value of the sample correlation coefficient? 1 answer below »

The following data are the monthly salaries y and the grade point averages x for studentswho obtained a bachelor’s degree in business administration with a major in informationsystems. The estimated regression equation for these data is 1790.5 yˆ 581.1x.GPA Monthly Salary ($)2.6 33003.4 36003.6 40003.2 35003.5 39002.9 3600a. Compute SST, SSR, and SSE.b. Compute the coefficient of determination r2. Comment on the goodness of fit.c. What is the value of the sample correlation coefficient?

 

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Suppose that three cards are drawn at random from an ordinary deck of 52 cards. If X and Y are…

Suppose that three cards are drawn at random from an ordinary deck of 52 cards. If X and Y are the numbers of diamonds and clubs, respectively, calculate the joint probability function of X and Y.

 

 

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a) Calculate a correlation coefficient for the data of see below Example . Example: The shear…

a) Calculate a correlation coefficient for the data of see below Example .

Example: The shear resistance of soil, y kN m–2, is determined by measurements as a function of the normal stress, x kN m–2. The data are as shown below:

Xi

 10

 11

 12

 13

 14

 15

 16

 17

 18

 19

 20

 21

Yi

14.08

15.57

16.94

17.68

18.49

19.55

20.68

21.72

22.80

23.84

24.79

25.67

b) What fraction of the sum of squares of deviations in the y-direction from y is explained by the linear relation between  and x given by regression?

 

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coefficient correlation and regression 1 answer below »

to find the coefficient correlation and regression for the prooblems

 

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Give the symbol and purpose of each of the three standard deviations.

Give the symbol and purpose of each of the three standard deviations. Describe in words the relationship between the variance and the standard deviation. For each of the distributions in problem 3.19, divide the range by the standard deviation. Is the result between 2 and 5?

 

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Let X and Y be independent random variables with common probability density function Calculate…

Let X and Y be independent random variables with common probability density function

Calculate the joint probability density function of U = X/ Y and V = X Y .

 

 

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Formulate the null and alternative hypotheses to test for no difference between the population mean… 1 answer below »

Bank of America’s Consumer Spending Survey collected data on annual credit card charges in seven different categories of expenditures: transportation, groceries, dining out, household expenses, home furnishings, apparel, and entertainment (U.S. Airways Attaché, December 2003). Using data from a sample of 42 credit card accounts, assume that each account was used to identify the annual credit card charges for groceries (population 1) and the annual credit card charges for dining out (population 2). Using the difference data, the sample mean difference was = $850, and the sample standard deviation was sd = $1123.

a. Formulate the null and alternative hypotheses to test for no difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.

b. Use a .05 level of significance. Can you conclude that the population means differ? What is the p-value?

c. Which category, groceries or dining out, has a higher population mean annual credit card charge? What is the point estimate of the difference between the population means? What is the 95% confidence interval estimate of the difference between the population means?

 

 

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Assignment 1 answer below »

Is there a linear relationship between age and education, and if so, how strong is that relationship? Is it possible to predict educational level based on age? If so, what limitations exist for the developed method?

 

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Find the median of the distribution in Table 3.11 of Problem 3.62. Class Frequency 10 to under 15 1 answer below »

Find the median of the distribution in Table 3.11 of Problem 3.62.

Class

Frequency

10 to under 15

3

15 to under 20

7

20 to under 25

16

25 to under 30

12

30 to under 35

9

35 to under 40

5

40 to under 45

2

 

Total

54

 

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Assume that the life of a roller bearing follows a Weibull distribution with parameters β = 2… 1 answer below »

Assume that the life of a roller bearing follows a Weibull distribution with parameters β = 2 and δ = 10,000 hours.

(a) Determine the probability that a bearing lasts at least 8000 hours.

(b) Determine the mean time until failure of a bearing.

(c) If 10 bearings are in use and failures occur independently, what is the probability that all 10 bearings last at least 8000 hours?

 

 

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