The production department of Celltronics International wants to explore the relationship between the number of employees who assemble a subassembly and the number produced. As an experiment, two employees were assigned to assemble the subassemblies. They produced 15 during a one-hour period. Then four employees assembled them. They produced 25 during a one-hour period. The complete set of paired observations follows:| Number of Assemblers | One-Hour Production (units) ||----------------------|-----------------------------|| 2 | 15 || 4 | 25 || 1 | 10 || 5 | 40 || 3 | 30 |The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees.[Click here for the Excel Data File]a. Draw a scatter diagram.1. On the graph below, use the point tool to plot the point corresponding to the first Number of Assemblers and her Production (No of Assemblers1).2. Repeat the process for the remainder of the sample (No of Assemblers2, No of Assemblers3, ... ).3. To enter exact coordinates, double-click on the point and enter the exact coordinates of x and y.**Graph Explanation**: The graph consists of a vertical axis labeled "Production" ranging from 0 to 50 and a grid with no marked data points. There are placeholder points labeled from "No of Assemblers1" to "No of Assemblers4" on the right, intended for plotting based on the table's data. Instructions indicate plotting each assembler's data point against production to form a scatter plot. **b. Based on the scatter diagram, does there appear to be any relationship between the number of assemblers and production?**Yes, as the number of assemblers increases, so does the production.**c. Compute the coefficient correlation.** *(Negative amounts should be indicated by a minus sign. Round $s_x$, $s_y$, and $r$ to 3 decimal places.)*| $ x $ | $ y $ | $ x - \bar{x} $ | $ y - \bar{y} $ | $ (x - \bar{x})^2 $ | $ (y - \bar{y})^2 $ | $ (x - \bar{x})(y - \bar{y}) $ ||---------|---------|----------------|----------------|--------------------|--------------------|-----------------------------|| 2 | 15 | | -9 | | 81 | || 4 | 25 | | 1 | 1 | | || 1 | 10 | | -14 | | 196 | || 5 | 40 | | | 4 | | 32 || 3 | 30 | | 6 | 0 | | |\[\bar{x} = \]\[\bar{y} = \]\[s_x = \]\[s_y = \]\[r = \]

YES, INCREASES x y x -x¯ (x-x¯)2 (y- y)¯ (y - y¯)2 (x-x¯)(y-y¯) 2 15 -1 1…

c. Compute the coefficient correlation. (Negative amounts should be indicated by a minus sign. Round sx, Sy and r to 3 decimal places.) y 15 (z ) (x – ¤) (y – g) 2 -9 81 4 25 1 196 10 40 -14 32 3 30 15 T= Sy =

c. Compute the coefficient correlation. (Negative amounts should be indicated by a minus sign. Round sx, Sy and r to 3 decimal places.) y 15 (z ) (x – ¤) (y – g) 2 -9 81 4 25 1 196 10 40 -14 32 3 30 15 T= Sy =

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

Related questions

Q: QUESTION 24 The coefficient of correlation O a. is the square of the r-square. O b. is the square…

A: Correlation may be defined as the linear relationship between the two variables.

Q: Evaluate the relationship between height (in inches) and weight (in pounds) of 21-year-old men.…

A: The correlation coefficient is used to understand the relationship between two quantitative…

Q: The table shows the number of absences, x, in a class and the final exam grade, y, for seven…

A: Formula : coefficient of determination r² =√r

Q: The accompanying data are the number of wins and the earned run averages (mean number of earned runs…

A: Answer Given,x = 20, 18, 17, 16, 14, 12, 11, 9y = 2.67, 3.28, 2.56, 3.78, 3.78, 4.35, 3.86, 5.01

Q: How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y…

A: Correlation coefficient - r: The Karl Pearson’s product-moment correlation coefficient or simply,…

Q: What correlation can be observed between x and y in the figure?

A: Correlation is a measure of association between two continuous variables.

Q: find the correlation coefficient r. x y 7 15 10 16 15 25 18 32

A: Calculation: From the table,

Q: A pediatrician wants to determine the relation that exists between a child's height (x) and head…

A: The data is defined below as follows: From the information, it is clear that Let X denotes the…

Q: Accurate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values.…

Q: Let x be the average number of employees in a group health insurance plan, and let y be the average…

A: Scatter plot is the graphical representation of the relationship between two variables of a…

Q: For each problem, select the best response. (a) For a biology project, you measure the weight in…

A: we know that, correlation coefficient is a numerical value that defines the strength of the linear…

Q: find the correlation coefficient r. x y 5 8 9 10 11 13 17 19

A: Solution: The given data is

Q: Match these values of r with the accompanying scatterplots: 0.326, 1, -0.707, -1, and -0.326. Click…

A: given r=0.326, 1, -0.707, -1, -0.326

Q: 16. For the data shown to the right, determine the linear correlation coefficient using the…

A: To find: r Answer is given below

Q: Compute the correlation coefficient. y 32 15 36 2 26 24 The correlation coefficient is r= 29 37 23…

A: The data is given as follows: 32153622624293711-7231-1038

Q: For which of the x-values should you NOT attempt to estimate the y because of extrapolation? 0 20…

A: Given scatter plot The 6 data points given in the scatter plot…

Q: 20 10 20 30 40 50 60 70 x (average number of employees) (b) Would you say the correlation is low,…

A: a) In this case, the independent variable is the average number of employees in a group health…

Q: The table below shows the relationship between the temperature of the day and the corresponding…

A: Given: Temperature (in degree Fahrenheit) 54 59 63 72 Number of Juice Cans Sold 350 365 405 450

Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

The production department of Celltronics International wants to explore the relationship between the number of employees who assemble a subassembly and the number produced. As an experiment, two employees were assigned to assemble the subassemblies. They produced 15 during a one-hour period. Then four employees assembled them. They produced 25 during a one-hour period. The complete set of paired observations follows:

| Number of Assemblers | One-Hour Production (units) |
|----------------------|-----------------------------|
| 2 | 15 |
| 4 | 25 |
| 1 | 10 |
| 5 | 40 |
| 3 | 30 |

The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees.

[Click here for the Excel Data File]

a. Draw a scatter diagram.

1. On the graph below, use the point tool to plot the point corresponding to the first Number of Assemblers and her Production (No of Assemblers1).
2. Repeat the process for the remainder of the sample (No of Assemblers2, No of Assemblers3, ... ).
3. To enter exact coordinates, double-click on the point and enter the exact coordinates of x and y.

**Graph Explanation**:

The graph consists of a vertical axis labeled "Production" ranging from 0 to 50 and a grid with no marked data points. There are placeholder points labeled from "No of Assemblers1" to "No of Assemblers4" on the right, intended for plotting based on the table's data. Instructions indicate plotting each assembler's data point against production to form a scatter plot.

**b. Based on the scatter diagram, does there appear to be any relationship between the number of assemblers and production?**

Yes, as the number of assemblers increases, so does the production.

**c. Compute the coefficient correlation.** *(Negative amounts should be indicated by a minus sign. Round $s_x$, $s_y$, and $r$ to 3 decimal places.)*

| $ x $ | $ y $ | $ x - \bar{x} $ | $ y - \bar{y} $ | $ (x - \bar{x})^2 $ | $ (y - \bar{y})^2 $ | $ (x - \bar{x})(y - \bar{y}) $ |
|---------|---------|----------------|----------------|--------------------|--------------------|-----------------------------|
| 2 | 15 | | -9 | | 81 | |
| 4 | 25 | | 1 | 1 | | |
| 1 | 10 | | -14 | | 196 | |
| 5 | 40 | | | 4 | | 32 |
| 3 | 30 | | 6 | 0 | | |

\[
\bar{x} =
\]

\[
\bar{y} =
\]

\[
s_x =
\]

\[
s_y =
\]

\[
r =
\]

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Correlation, Regression, and Association$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

i, j
Answer D
It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. x 1 4 5 6 y 48 43 33 26 Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to four decimal places. Round your answers for the percentages to two decimal place.) r2 = explained = unexplained=
:0 F1 @ 2 F2 W S For major league baseball teams, is there a relationship between player payrolls and gate money? Here are data for each of the National League teams for the year 2002. The variable x denotes the 2002 player payroll (in millions of dollars), and the variable y denotes the mean attendance (in thousands of fans) for the team's home games that year. The data are plotted in the Figure 1 scatter plot. Arizona Atlanta Chicago Cubs Cincinnati Colorado Florida Houston Los Angeles Milwaukee Montreal New York Mets Philadelphia Pittsburgh San Diego San Francisco St Louis Send data to calc.... Check Mean Player payroll, x attendance, (in $1,000,000 s) #3 80 F3 103.5 93.8 E ✓ D 75.0 46.3 56.6 40.8 65.4 101.5 49.3 37.9 94.4 59.6 46.1 41.8 78.4 76.2 $ 4 The least-squares regression line for these data has a slope of approximately 0.34. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary,…
Please help me with this question