The table shows the amounts of crude oil (in thousands of barrels per day) produced by a certain country and the amounts of crude oil (in thousands of barrels per day) imported by the same country for seven years. The equation of the regression line is y = - 1.298x + 16,829.94. Complete parts (a) and (b) below. 5,718 5,595 5,370 5,226 5,167 | 5,028 O 9,193 9,687 10,042 10,188 10,176 10,050 Produced, x 5,768 Imported, y 9,325 (a) Find the coefficient of determination and interpret the result. (Round to three decimal places as needed.) How can the coetficient of determination be interpreted? The fraction of the variation in the amount of V that can be explained by the variation in the amount of V is V The remaining fraction of the variation is unexplained and is due to other factors or to sampling error. (b) Find the standard error of estimate s, and interpret the result. S thousands of barrels per day (Round to thrna darimal nlares as neerded Enter your answer in each of the answer boxes.

The table shows the amounts of crude oil (in thousands of barrels per day) produced by a certain country and the amounts of crude oil (in thousands of barrels per day) imported by the same country for seven years. The equation of the regression line is y = - 1.298x + 16,829.94. Complete parts (a) and (b) below. 5,718 5,595 5,370 5,226 5,167 | 5,028 O 9,193 9,687 10,042 10,188 10,176 10,050 Produced, x 5,768 Imported, y 9,325 (a) Find the coefficient of determination and interpret the result. (Round to three decimal places as needed.) How can the coetficient of determination be interpreted? The fraction of the variation in the amount of V that can be explained by the variation in the amount of V is V The remaining fraction of the variation is unexplained and is due to other factors or to sampling error. (b) Find the standard error of estimate s, and interpret the result. S thousands of barrels per day (Round to thrna darimal nlares as neerded Enter your answer in each of the answer boxes.

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: tudent1 Student2 Student3 Student4 Student5 Student6 Student7 Student8 Student9 Height…

Q: Find the regression line of the points: (12.7, 18.7), (9.1, 17.2), (15.3, 14.5), (19.5, 12.9)

Q: Find the equation of the regression line. X= 47,55,58,51,50,43 Y= 163, 203, 203, 182, 170, 140

A: X Y X.Y X2 47 163 7661 2209 55 203 11165 3025 58 203 11774 3364 51 182 9282 2601 50 170…

Q: The money raised and spent (both in millions of dollars) by all congressional campaigns for 8 recent…

A: In multiple linear regression, there will be more than one independent variable. In simple linear…

Q: The following table gives the data for the grades on the midterm exam and the grades on the final…

A: Grades on Midterm and Final Exams Grades on Midterm 65 55 70 86 74 82 65 75 77 73 Grades on…

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

A: Given r=0.315 y=0.396x+9.36

Q: The table shows the number of goals allowed and the total points earned (2 points for a win, and 1…

A: Performing data analysis we obtained, a) r2 =0.734544 = 0.73 About 73% of the variation in points…

Q: The table shows the number of goals allowed and the total points earned (2 points for a win, and 1…

A: We have to calculate coefficient of determination and standard error

Q: The scatter plot and table show the number of grapes and blueberries in 10 fruit baskets. Use the…

A: Taking the closest points to theine from the graph.Point 1: (20,8) Point 2 : (44,15)

A: The objective of the question is to understand the meaning of the slope in the given regression…

Q: The table shows the numbers of new-vehicle sales (in thousands) in the United States for Company A…

A: The question is about regression.Given :Regression equation :To find :Value of coefficient of…

Q: Suppose the equation of the regression line for the number of emails a person recieves at a…

A: We have find critical value...

Q: and (b) below. yovermiment el Dioyees and federal government employees for 8 years. The equation of…

A: The correlation coefficient is calculated as r=∑(xi-x¯)(yi-y¯)∑(xi-x¯)2(yi-y¯)2

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

A: Given that Correlation coefficient=0.6 Regression equation y=0.221x+8.15 We have to find the…

Q: The money raised and spent (both in millions of dollars) by all congressional campaigns for 8 recent…

A: The question is about regression.Given :Regression equation :To find :se and it's interpretation.

Q: 1. The scatterplot shows the relationship between latitude and mean July temperature (in degrees…

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: The following table shows the amount of a chemical substance over time. Time (hours) Amount (mg). 37…

A: Find Regression line equations from the following data, also Estimate y when x = 24 X Y 25 37…

Q: In a regression model, if every data point is exactly along the regression line, then A. the…

A: We want to tell you which one is the correct choice.

Q: The the regression line, using the data set. {(0,7), (1,5), (1.5,3), (2,5), (2.3, 3.2), (3,2),…

A: Given Data set {(0,7), (1,5), (1.5,3), (2,5), (2.3, 3.2), (3,2), (3.5,4)} above set can form the…

Q: The personnel director of a large hospital is interested in determining the relationship (if any)…

A: The regression model is the method of predicting the dependent variable with the known value of the…

Q: Two variables have a positive linear correlation. Is the slope of the regression line for the…

A: Correlation is positive (Given)

Q: Fourteen hikers were surveyed at Algonquin Park, and asked for how many days have you been hikingand…

A: Y=a +b X is the regression line of Y on X

Q: The table shows the average weekly wages (in dollars) for state government employees and federal…

A: (a) The value of the coefficient of determination is obtained below as follows: From the…

Q: Heights (in centimeters) and weights (in kilograms) of 7 supermodels are given below. Find the…

A: xy17654168501725217455166471785717655TOTAL : 1210370Sample size : n = 7Mean are calculated as:

Q: The annual profits for a company are given in the following table, where x represents the number of…

A: Given, Years since 2004 (x) Profits (y)(in thousands of dollars) 0 110 1 137 2 135 3 141…

Q: Determine a linear regression equation for the data. Round the slope and y-intercept to the nearest…

A: Determine a linear regression equation for the data. Round the slope and y-intercept to the…

Q: An automotive engineer computed a least-squares regression line for predicting the gas mileage (y)…

A: Given : y = -0.14x + 38.78

Q: Find the equation of the regression line for the following data set. 65 4

Q: The data below is the amount of tar and nicotine in a sample of different brands of 100 mm,…

A: a) In this case Tar (t) is the independent variable and Nicotine content (N(t)) is the dependent…

Q: Analysis of the relationship between the fuel economy (combinedMPG) and displacement (in liters) for…

A: given data regression equation : combinedMPH = 33.472 - 3.317Displacement here displacement is…

Q: The money raised and spent (both in millions of dollars) by all congressional campaigns for 8 recent…

A: Given:

Q: 3- Find the equation of the regression line and find the y_ value for the specified x value.…

A: Basics: The question of regression line on y on x , it is given by; ( y - ȳ ) = byx ( x - x̄ )

Q: Fourteen hikers were surveyed at Algonquin Park, and asked for how many days have you been hikingand…

A: Number of days hikedDistance Traveled112117218319321523525623730731937103911411252

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 table shows the amounts of crude oil (in thousands of barrels per day) produced by a certain country and the amounts of crude oil (in thousands of barrels per day) imported by the same country for seven years.
The equation of the regression line is y = - 1.298x+ 16,829.94. Complete parts (a) and (b) below.
Produced, x
5,718 5,595 5,370 5,226 5,167 5,028 O
9,193 9,687 10,042 10,188 10,176 10,050
5,768
Imported, y
9,325
(a) Find the coefficient of determination and interpret the result.
(Round to three decimal places as needed.)
How can the coefficient of determination be interpreted?
The fraction of the variation in the amount of
V that can be explained by the variation in the amount of
V is
V The remaining fraction
V of the variation is
unexplained and is due to other factors or to sampling error.
(b) Find the standard error of estimate s, and interpret the result.
s,= thousands of barrels per day
(Round to three decimal nlaces as neededY
Enter your answer in each of the answer boxes.
P Type here to search
a
3:26 AM
(?
5/2/2021
144
insert
prt sc
deete
2$
&
9.
+ backspae
Yore
tab
R
Y
U
P
caps lock
H.
J.
"K
V.
M.

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 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

What is the slope and intercept for the regression equation given this data?X = -5, 34, 56, 0, 61Y = 13, 63, 46, -23, 50
Save The data show the bug chirps per minute at different temperatures. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Use a significance level of 0.05. What is wrong with this predicted value? Chirps in 1 min 776 1173 1034 951 975 1214 D Temperature (°F) 70.1 89 77.4 76.2 77 92.6 What is the regression equation? (Round the x-coefficient to four decimal places as needed. Round the constant to two decimal places as needed.) Incorrec ary ns
The table shows the numbers of new-vehicle sales (in thousands) in the United States for Company A and Company B for 10 years. The equation of the regression line is y = 0.991x + 1,222.81. Complete parts (a) and (b) below. New-vehicle sales (Company A), x New-vehicle sales (Company B), y 4,149 3,923 3,566 3,400 3,266 3,076 2,868 2,485 1,952 2,066 4,912 4,871 4,827 4,721 4,672 4,474 4,684 3,822 2,956 2,754 (a) Find the coefficient of determination and interpret the result. r² = r2 = 0.821 (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? The coefficient of determination is the fraction of the variation in new-vehicle sales for Company B that can be 2 explained by the variation in new-vehicle sales for Company A and is represented by The remaining fraction of the variation, 1-2, is unexplained and is due to other factors or to sampling error. s (b) Find the standard error of estimates and interpret the result. Se O (Round to three decimal…
The table shows the average weekly wages (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is y=1.410x−17.174. Complete parts (a) and(b) below.
The correlation for the data is r=1 and a=0.05 should regression analysis be done Find the equation of the regression line y = a+bx A= B= Find y when x=40
Fourteen hikers were surveyed at Algonquin Park, and asked for how many days have you been hikingand far did your travel in that time? The equation for the linear regression line is y+3x + 10.3 where x is the number of days and y is the distance travelled. Estimate the number of whole days a hiker would need to travel 35KM? Number of days hiked 1 1 2 3 3 5 5 6 7 7 9 10 11 12 Distance Traveled (km) 12 17 18 19 21 23 25 23 30 31 37 39 41 52
2. The table below lists the annual land-line phone cost per costumer: Year 2012 2013 2014 2015 Cost ($) a. 692 610 Find a linear regression model for this data b. Interpret the slope of the model 580 C. Predict the annual land-line phone cost per customer in 2022 495 2016 434
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. The table shows the shoe size and heights (in.) for 6 men. Shoe size, x Height, y 7.5 8.5 9.5 12.0 13.0 13.5 65.0 67.0 72.0 74.0 74.0 72.0 Find the regression equation. シー+D (Round to three decimal places as needed.) Choose the correct graph below. OA. В. C. OD. 75- 75- 65- 65- 65-4 65 He 14 14 14 Shoe size Shoe size Shoe size Shoe size Height (in.) O 回 Height (in.) Height (in.) O 包 Height (in.)
The table shows the average weekly wages (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is y = 1.405x – 12.307. Complete parts (a) and (b) below. Average Weekly Wages (state), x Average Weekly Wages (federal), y 751 760 791 817 835 881 924 951 1002 1047 1115 1149 1195 1250 1269 1300 (a) Find the coefficient of determination and interpret the result. 12 =O
Show your work please.
A pediatrician wants to determine the relation that exists between a child's height (x) and head circumference (y). She randomly selects 11 children from her practice and measures their height and head circumference in inches. She finds that the correlation is 0.477 and the regression equation is y = 0.149x + 8.15 What proportion of the variation in head circumference can be explained by the variation in the values of height? % Report answer as a percentage accurate to one decimal place.
I’m taking a statistics and probability class. Please get this correct because I want to learn. I have gotten wrong answers on here before