In a random sample of sixteen different industries the percentage employment x in STEM (science,technology, engineering, mathematics) and mean annual compensation y(in thousands of dollars)were recorded, with the following results. The scatter diagram showed a linear trend.SSxx = 1303.9SSy= 1503.0SSy = 2660.2Ex = 150 .1Ey = 915 n= 16%3D%3D1sxs 3436.7 s y s 90.5Calculate the linear correlation coefficient for percent employment in STEM and annualcompensation and enter your answer below accurate to two decimal places.

We have given that, SSxx = 1303.9, SSyy = 2660.2 and SSxy = 1503.0 Σ X = 150.1, Σ Y = 915 , n = 16…

Answered: In a random sample of sixteen different…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A study was conducted to determine if the number of hours of sleep per night was related to exam performance on an exam taken the following day. The correlation coefficient was found to be .78. Which statement is FALSE? The relationship between hours of sleep and exam performance the following day is strong. As the number of hours of sleep increases, exam performance is also expected to increase at a similar rate. The r-value is .78. The number of hours of sleep cannot be used to estimate or predict possible performance on an exam the following day.
c. The proportion of buyers who actually make a purchase appears to be relatively constant over time. In 2015, among a sample of 389 on-line buyers, 159 purchased merchandise. In 2019, for a sample of 301 on-line buyers, 138 purchased merchandise. At the .05 level of significance, did the proportion of on-line buyers change from 2015 to 2019?
3.1 In a study, serum cholesterol levels were measured for a large number of healthy males. The population wasfollowed for 16 years. At the end of this time, the men were divided into two groups: those who had developedcoronary heart disease and those who had not. The distributions of the initial serum cholesterol levels for eachgroup were found to be approximately normal. Among individuals who eventually developed coronary heartdisease, the mean serum cholesterol level was µa=244 mg/100 ml and the standard deviation was od=51 mg/100 ml; for those who did not develop the disease, the mean serum cholesterol level was und = 219 mg/100 ml andthe standard deviation was ond = 41 mg/100 ml.a) Suppose that an initial serum cholesterol level of 260 mg/100 ml or higher is used to predict coronary heart disease. What is the probability of correctly predicting heart disease for a man who will develop it?b) What is the probability of predicting heart disease for a man who will not develop it?
An economist conducted a study of the possible association between weekly income and weekly grocery expenditures. The particular interest was whether higher income would result in shoppers spending more on groceries. A random sample of shoppers at a local supermarket was obtained, and a questionnaire was administered asking about the weekly income of the shopper’s family and the grocery bill for that week. The correlation was found to be r=0.675. The percentage (to two decimal places) of variation in grocery bills explained by the family's weekly income regression line is:
The data in Table 7..7 are collected in an experiment designed to investigate the impact of different positions of the mother during ultrasound on fetal heart rate. Fetal heart rate is measured by ultrasound in beats per minute. The study includes 20 women who are each assigned to one position and have the fetal heart rate measured in that position. Each woman is between 28 weeks, and 32 weeks, gestation. Is there a significant difference in mean fetal heart rates by position? Run the test at a 5% level of significance. PLEASE SHOW THE ANSWER IN EXCEL FORMAT WITH FORMULAS.
Which of the following pairs quantities have a negative correlation? (A) Calorie- intake per day and weight (B) Time spent on studying MMW and final grade in MMW (C) Credit card purchases and savings per month (D) Electric consumption per month and Meralco bill
tled1.tst 1 / 1 dent/Downloads/Math%201332%20Activity%20%236.pdf X 1 Find the mean, mode, median and midrange. 2) 2 Score Frequency 3 4 5 X 6 Math 1332 Activity #6.pdf: 6231- 7 8 9 10 119% + B HLSATOOGEE f 1 5 4 7 6 10 12 11
After a first-order model was fitted to the data, the coefficient of correlation between the usage in hours per week (x) of a particular brand of computer and the maintenance cost of the computer (y) is calculated as 0.84. Interpret the value of the coefficient of determination.
While performing searches on the Internet to find accommodation, Jasmine realized that the cost of a housing unit seems to be related to the number of inhabitants of the municipality where the unit is located. She noted the following data. She represented the data in a scatter plot, where she drew a line of best fit passing through the mean point of the distribution. If Jasmine considers that a linear correlation exists between these two variables, what should be the mean monthly rent of a 4½-room unit in a municipality with a population of approximately 250 000? Justify your answer algebraically.
We have measurements from eight companies for the % workforce change in 2010 from 2009 and the % change in profits from 2010 to 2011. % workforce change (x): 1.0 % profit change (y): 1.5 -0.4 -2.6 -3.8 -5.8 -2.5 -0.1 0.4 0.4 0.1 -0.2 -0.5 -7.5 0.2 0.3 We can calculate: Er = -12.7, Ex² = 64.51, Συ--6.8 , Σ 57, Σεy- 46.35. Find the sample correlation between the two variables, and fit a simple linear model to the dataset. Also, plot the residuals, ri, against xi, and comment on the fit of the model.
In a regression study, relating Price/unit (x) to Weekly Sales (in Kg.), with the scatter plot showing a strong negative direction, 63% of the variability in sales could be accounted for by the variation in the Unit Price. The correlation coefficient in this study is: 0.7 -0.4 -0.79 0.4
Suppose the correlation coefficient r=0.16 Find:a. The coefficient of determination r2= (round to 3 decimal places)b. The percentage of explained variation = % (round to 1 decimal place)c. The percentage of unexplained variation = % (round to 1 decimal place)

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS