2. REGRESSION2.1. What are the independent (predictor) and dependent (response, target) variables?2.2. Construct a scatterplot to see the relationship between independent and dependent variables.2.3. What do you expect for the sign of ß₁ and magnitude of R²? Note that the magnitude of R² dependson the strength of the linear relationship between independent and dependent variables. REGRESSION QuestionA study was made to determine the effect of stirring rate on the amount of impurity in paint produced by a chemicalprocess. The study yielded the following data. Investigate the linear relationship between stirring rate and impurity..XStirring rate212325272930323435383943YImpurity %8.49.511.810.413.314.813.214.716.416.518.918.5

X(Stirring rate) : { 21,23,25,27,29,30,32,34,35,38,39,43 } Mx = ( 21+..43)/12 = 31.333…

Answered: 2. REGRESSION 2.1. What are the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Interpret the regression results.
Statistics - Regression Analysis
Roller coasters get their speed as a result of dropping down a steep incline. The table below gives height of a drop and the speed achieved for different roller coasters around the world. Drop in Meters (m 25 30 28 58 55 40 90 100 Speed of the coaster (k.p.h) 80 90 78 93 90 93 105 128 Have your calculator find the linear regression for the roller coaster data above. Write the linear model, clearly define the variables and state correlation coefficient and clearly interpret the slope. Use the model to find the drop height that will result in a coaster speed of 150 kph. Have your calculator find the exponential regression for this data. Write the exponential model, clearly define the variables and state correlation coefficient. Use the model to find the drop height that will result in a…
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.6 8.1 7.1 3.9 2.9 2.6 2.1 0.7 13.7 10.7 10.2 7 6.5 6.5 5.7 4.7 thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the linear equation 0.83x + 4.08 a. How many murders per 100,000 residents can be expected in a state with 10.3 thousand automatic weapons? Round to 3 decimal places. murders per 100,000 residents b. How many murders per 100,000 residents can be expected in a state with 2.5 thousand automatic weapons? Round to 3 decimal places. murders per 100,000 residents
Answer the given question with a proper explanation and step-by-step solution. Exercise 2.6 For the data below, plot a scatter diagram with variable Y on the vertical axis and variable X on the horizontal axis. Y 40 33 29 56 81 19 20 X 5 7 9 3 1 11 10 (a) Is the relationship between the variables positive or negative? (b) Do you think that a linear or non-linear line better describes the relationship? а ald question
The ages (in years) of five men and their systolic pressures. (You can use technology) Age, x 16 25 39 45 49 Systolic blood pressure, y 109 122 143 132 199 a. calculate the correlation coefficient, r b. calculate the critical r c. Is there a significant linear relationship between x and y? d. find the equation of regression line e Interpret the slope and the y-intercept f. Predict the systolic blood pressure for a man who is 40 years old.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.6 8.5 7. 3.5 2.6 2.3 2.4 0.4 13.8 11 10 6.3 6.1 5.9 4.1 I = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y = 0.85T + 3.97. Use this equation to answer the following; A) How many murders per 100,000 residents can be expected in a state with 1.2 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 2.2 thousand automatic weapons? Answer = Round to 3 decimal places. Question Help: O Message instructor Submit Question to search 1O
Below is the actual data on the speed a person walks or runs in miles/hour and the calories the person burns per lap. Find the linear equation of best fit for this data. Compare the model to the data. Does the model seem to fit the data? Explain. What is the significance of the y-intercept? What is the slope and what does it mean? What is the x-intercept and what does it mean? What is the correlation coefficient and what does it mean? Speed (mph) Calories/lap 1 42 2 31 3 27 4 41 5 40 6 40 7 39 8 38 r answers to the nearest hundredth. The y-intercept means that if a person runs at ----------mph they will burn__________ per lap. The slope means that for each mph you increase your speed, you will burn an additional------------calories pay lap
Is there a relationship between the weight and price of a mountain bike? The following data set gives the weights and prices for ten mountain bikes. Let the expanatory variable x be the weight in pounds and the response variable y be the bike's price. Weight (LB) 32 33 29 29 34 37 28 30 34 30 Price ($) 980 350 430 710 930 160 590 530 180 1090 a. Construct a scatterplot. Interpret. b. Find the regression equation. Interpret the slope in context. Does the y-intercept have contextual meaning? c. You decide to purchase a mountain bike that weighs 33 pounds. What is the predicted price for the bike? a. Which scatterplot below correctly shows the data? A. 254001200xy A coordinate system has a horizontal x-axis labeled from 25 to 40 in increments of 1 and a vertical y-axis labeled from 0 to 1200 in increments of 50. A cluster of plotted points that form a line that falls from left to…
Part two Given the data set below, 3 4 7 7 8. Y 4 7 9 6. 3 Find the scatter plot. 8) Find the equation of the regression line. 9) Find R and R2. 10) What can you say about R and R2. 4. 00
The data shows the scores of 8 employees in an admission test and their academic performance. 1. Trace the regression line 2. What is the slope of the line? 3. What is the y-intercept? Score in admission test (x) 52 Grade (y) 80 61 79 86 79 45 95 90 75 58 82 60 80 45 70
Answer number one only

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