### Problem 7The accompanying data on $ x = $ current density (mA/cm) and $ y = $ rate of deposition appeared in a recent study.| $ x $ | 20 | 40 | 60 | 80 ||--------|-----|-----|-----|-----|| $ y $ | 0.24 | 1.20 | 1.71 | 2.22 |For the data: \[ n = 4, \quad \sum{x_i} = 200, \quad \sum{y_i} = 5.37, \quad S_{xx} = 2000, \quad S_{xy} = 64.5, \quad SSE = 0.06075, \quad SST = S_{yy} = 2.140875. \]### Questions:#### a. Find $ b_1 $ (that is $ \hat{\beta}_1 $).#### b. What is the equation of the regression line?#### c. Compute the estimated $ \sigma^2 $ (or $ s^2 $).#### d. Do you agree with the claim by the article's author that “a linear relationship was obtained from the tin-lead rate of deposition as a function of current density”? Explain your reasons.### Graphs and Diagrams Explanation- There are no graphs or diagrams in this problem. The problem consists of a table of data and several statistical measures related to linear regression analysis. The table presents the values of current density (x) in mA/cm and the corresponding rate of deposition (y) in some unit.The provided statistics (such as $ S_{xx} $ and $ S_{xy} $) are used for computing regression coefficients and other measures necessary for assessing the linear relationship.Make sure to use these statistics and the given formulas for your computations to answer questions (a) through (d).

Name: ### Problem 7The accompanying data on $ x = $ current density (mA/c
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: ### Problem 7The accompanying data on $ x = $ current density (mA/cm) and $ y = $ rate of deposition appeared in a recent study.| $ x $ | 20 | 40 | 60 | 80 ||--------|-----|-----|-----|-----|| $ y $ | 0.24 | 1.20 | 1.71 | 2.22 |For the d

Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Math

Statistics

Problem 7. deposition appeared in a recent study. The accompanying data on x = current density (mA/cm) and y = rate of 20 40 60 80 y .24 1.20 1.71 2.22 For the data: n = 4, E x¡ = 200, E y, = 5.37, Sxx = 2000, Sxy = 64.5, SSE = .06075, SST = Syy = 2.140875. a. Find b, (that is ß1). b. What is the equation of the regression line? c. Compute estimated o² (or s²).

Problem 7. deposition appeared in a recent study. The accompanying data on x = current density (mA/cm) and y = rate of 20 40 60 80 y .24 1.20 1.71 2.22 For the data: n = 4, E x¡ = 200, E y, = 5.37, Sxx = 2000, Sxy = 64.5, SSE = .06075, SST = Syy = 2.140875. a. Find b, (that is ß1). b. What is the equation of the regression line? c. Compute estimated o² (or s²).

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: Suppose that a = b. %3D What is the rate of change of a with respect to b? Select one: O a? O 3b…

A: Here given that 13a3=b We have to find the rate of change of a with respect to b.

Q: Suppose you are interested in uncovering the relationship between snowfall (in inches) in the month…

A: Given that Using excel regression Option 2 is the answer

Q: Find the derivative of y = z tanh z+ Inv1-z'.

Q: Suppose the lengths of human pregnancies are normally distributed with µ = 266 days and a = 16 days.…

A: Given Data: X~ Normal (266, 16) P(X>285)=0.1175 P(X<285)=0.8825

Q: In a laboratory experiment, the density of a concentrated sugar solution was determined by measuring…

A: b) Let us denote the measurements as X: X 1.38 1.37 1.37 1.3 1.32 1.34 1.41 1.44…

Q: QUESTION 17 Use the provided density function to choose the best estimate for the proportion of the…

A: Answer: The correct answer is option (d).85%

Q: 10. A =bh A' =bh or ans : %3D (h) 4h

A: Given:…

Q: QUESTIONS 1. Let x = 1.442 and y = 1.450. Compute the relative error in x=y= fl(fl(x) - fl(y)) using…

Q: Weight 1 (x₂) Weight 2 (x₂) Weight 3 (x3) g

A: Three weights are x1=0.10gx2=0.10gx3=0.10g

Q: Let u, and u, denote true average densities for two different types of brick. Assuming normality of…

Q: Can you explain this to me in the most simplest way and step by step please I am struggling to…

A: Density Altitude Formula:-Density altitude = pressure altitude + (120 x (O.A.T. - ISA…

Q: Suppose the lengths of human pregnancies are normally distributed with u = 266 days and o = 16 days.…

A: Given : Suppose the lengths of human pregnancies are normally distributed with u =266 days and σ =…

Q: Consider a uniform density curve defined from x = 0 to x = 4. What percent of observations fall…

Q: I want to know if I calculated the amount of boys required to ensure a two-sided test of hypothesis…

A: You have done the calculation correctly.Calculation of ES:The BMI for boys of age 12 is µ0 =…

Q: 1. Suppose the odometer on our car is broken and we want to estimate the distance driven over a 30…

Q: Determine the value of y for x = 2 , given the following data:

Q: You work for a small wood chipping company. It is January and you are required to provide the…

A: The diameter of the pyramid-shaped pile is 100 feet, the height is 35 feet and the airspace is…

Q: Question 5 find the indicated quantities for the function y = f(x)= 3x². The average rate of change…

Q: D. None Find rate of change of f(x)=5x from x=2 to X F 5 average 50 B 3 50

Q: What is the slope of the normal to y= x-2 * at (2, 0)? x+2

A: Given a rational function.y=x−2x+2To find: slope of the normal to y=x−2x+2 at (2,0)

Topic Video

Question

### Problem 7

The accompanying data on $ x = $ current density (mA/cm) and $ y = $ rate of deposition appeared in a recent study.

| $ x $ | 20 | 40 | 60 | 80 |
|--------|-----|-----|-----|-----|
| $ y $ | 0.24 | 1.20 | 1.71 | 2.22 |

For the data:
\[ n = 4, \quad \sum{x_i} = 200, \quad \sum{y_i} = 5.37, \quad S_{xx} = 2000, \quad S_{xy} = 64.5, \quad SSE = 0.06075, \quad SST = S_{yy} = 2.140875. \]

### Questions:

#### a. Find $ b_1 $ (that is $ \hat{\beta}_1 $).
#### b. What is the equation of the regression line?
#### c. Compute the estimated $ \sigma^2 $ (or $ s^2 $).
#### d. Do you agree with the claim by the article's author that “a linear relationship was obtained from the tin-lead rate of deposition as a function of current density”? Explain your reasons.

### Graphs and Diagrams Explanation
- There are no graphs or diagrams in this problem. The problem consists of a table of data and several statistical measures related to linear regression analysis.

The table presents the values of current density (x) in mA/cm and the corresponding rate of deposition (y) in some unit.

The provided statistics (such as $ S_{xx} $ and $ S_{xy} $) are used for computing regression coefficients and other measures necessary for assessing the linear relationship.

Make sure to use these statistics and the given formulas for your computations to answer questions (a) through (d).

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

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

Water is poured into a large, cone-shaped cistern. The volume of water, measured in cm, is reported at Which of the following would linearize the data for volume and time? different time intervals, measured in seconds. The scatterplot of volume versus time showed a curved Seconds, cm3 O In(Seconds), cm3 Seconds, In(cm') pattern. O In(Seconds), In(cm³)
PROBLEM ALMOST DONE. PLEASE HELP WITH REMAINING. WILL THUMBS UP IF CORRECT.
Write a clear answer of your own work, please
Use the table to estimate the rate of change of y at the specified value of x. X=1
0.3 0.6 0.9 1.2 1.5 h(q) 18 36 71 142 284 Estimate h' (0.9) using the table above. h'(0.9) =
Question 2 With r (t) above, calculate the unit normal N (t). as
Calculate the average grade using the polygonal method for the following scenario (round your answer to two decimal places): Hole Grade Area 1 0.24 31.6 2 0.53 40.3 3 0.42 35.8 0.18 39.7
The annual flows, in cubic meters per second, at the Weldon River at Mill Grove, Missouri for the period 1930 to 1960 are averaged as follows: 3.06 1.52 16.00 2.78 1.15 13.39 2.74 6.16 1.21 5.90 4.06 2.66 11.29 8.46 7.04 12.51 10.91 16.09 3.46 4.28 6.92 11.35 6.95 3.23 18.70 3.75 1.25 2.063.83 18.02 14 .41Fit the lognormal distribution to this data. Comment on the goodness-of-fit to the lognormal distribution.