A sample of eight employees is taken from the production department of a light engineering factory. The data which follow relate to the number of weeks experience in the wiring of components, and the number of components which were rejected as unsatisfactory Employees A B C D E F G H Weeks of experience (x) 4 5 7 9 10 11 12 14 Number of rejects (y) 21 22 15 18 14 14 11 13 Calculate a Pearson’s Product moment correlation for these data and interpret its value

A sample of eight employees is taken from the production department of a light engineering factory. The data which follow relate to the number of weeks experience in the wiring of components, and the number of components which were rejected as unsatisfactory Employees A B C D E F G H Weeks of experience (x) 4 5 7 9 10 11 12 14 Number of rejects (y) 21 22 15 18 14 14 11 13 Calculate a Pearson’s Product moment correlation for these data and interpret its value

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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If the linear association between two numerical variables is studied and the correlation coefficient is 0.32, it can be concluded that:a. The relationship between the variables is inverse and weak. b. The percentage of variability observed in the data that is explained by the error is 89.76%. c. The percentage of observed variability in the data that is explained by the model is 32%. d. None is correct Please explain clearly, thank you
The data below was taken from the fat (g) and sodium (mg) found in different types of food found at fast food restaurants. 19 31 34 35 39 39 43 _y 920 1310 860 1180 940 1260 1500 a) Find the p-value to determine if there is a linear correlation between fat (g) and sodium (mg). Record the p-value below. Round to four decimal places. p-value = b) Is there a linear correlation between fat (g) and sodium (mg)? c) If there is a linear correation, write the correlation coefficient below. Otherwise, leave it blank. Round your final answer to four decimal places. d) If there is a linear correlation, write the regression equation below. Otherwise, leave it blank. Round all numbers to four decimal places. e) Using the data shown above, predict the the sodium found in fast food when the fat is 32 g. Round your final answer to two decimal places. f) If there is a linear correlation, what percentage of variation in sodium (mg) can be explained by fat (g)? If there is not a linear correlation, leave…
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using α=0.01. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? Overhead Width 7.1 7.5 9.6 9.3 8.7 8.2 Weight 115 193 237 196 198 186
Assuming the following table of the cost (X) and selling (Y) price of flight tickets in dollars ($): Cost Price (X) Sell Price (Y) 200 300 230 250 500 510 540 700 670 730 320 500 190 412 280 355 625 635 Compute the following: 1. Plot a scatter plot of the data (manual plot or use any software like excel). (2 marks) 2. Pearson correlation coefficient (r). 3. The relation type and strength. 4. Linear regression formula (9, = Bo +B,X,). 5. The estimated of the ticket selling price when the cost is $500. 6. The error of the ticket selling price estimate when the cost is $500. 7. What is the percent of cost price variable interpret the variation of sell price variable (How much the coefficient of determination)? (2 marks) (Imark) (2 marks) (I mark) (I mark) (I mark)
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using a = 0.01. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? Overhead Width 7.2 7.5 9.8 9.3 8.9 8.1 Weight 119 172 248 201 205 181 Click here to view a table of critical values for the correlation coefficient. Construct a scatterplot. Choose the correct graph below. A. В. OC. D. Aweight (kg) 300- Aweight (kg) 300- Aweight (kg) 300- Aweight (kg) 300- 100+ 1004 100- 100+ 10 7 10 7 10 7 10 width (cm) width (cm) width (cm) width (cm) The linear correlation coefficient is r= (Round to three decimal places as needed.) The critical values are r= (Round to three decimal places as needed. Use a comma to separate answers as needed.) Because the absolute…
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2.)Use the following data where Y is the dependent and X is the independent variable: SALES EXPERIENCE Y ('000TL) X(Years) 114 61 129 135 117 6 17 11 7 12 Test the hypothesis that there is a significant correlation between Y and X at 1% level of significance.