10:16 PM Thu May 18X22. Linear Modeling (Linear Regression)A bivariate (involving two variables) set of data is given in which x represents thenumber of police cars positioned along a freeway and y represents the averagespeed of cars on the freeway.71216●●●m =fitnyc.open.suny.edub =a) Write the equation of the best-fit line. You may want to use the followingformulas for the slope and y-intercept, respectively:N Σxy - Σx ΣyN Σx2 – (Σx)2y70654732Ex² Ey-Exy ExN Σx2 – (Σx)2b) Assuming the best-fit line holds as an accurate model, what is the expectedaverage speed of cars on the freeway if the number of police cars is 14?c) What is the correlation coefficient? Note: you can use the following equationfor the correlation coefficient:65% 10:16 PM Thu May 182 of 2●●●fitnyc.open.suny.edub) Assuming the best-fit line holds as an accurate model, what is the expectedaverage speed of cars on the freeway if the number of police cars is 14?r =c) What is the correlation coefficient? Note: you can use the following equationfor the correlation coefficient:N Σxy - Σx ΣΥN Σx2 - (Σx)|N Σy2 - (Σy)2☎ 65%

We have given the following table x y 2 70 7 65 12 47 16 32 Now we make the following…

Answered: 2. Linear Modeling (Linear Regression)…

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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The table contains price-supply data and price-demand data for corn. Find a linear regression model for the price-supply data where x is supply (in billions of bushels) and y is price (in dollars). Do the same for the price-demand data. Find the equilibrium price for corn. Price ($/bu) Supply (billion bu) Price ($/bu) Demand (billion bu) 2.14 6.41 2.06 9.96 2.25 7.38 2.15 9.42 2.34 7.51 2.26 8.33 2.41 7.78 2.32 8.08 2.46 8.13 2.36 7.86 2.57 8.35 2.48 6.96 ... Question content area right Part 1 Find a linear regression model for the price-supply data where x is supply (in billions ofbushels) and y is price (in dollars). y=enter your response here (Type an equation using x as the variable. Round to two decimal places as needed.)
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 =-1.364x+17,178.20. Complete parts (a) and (b) below. Produced, x Imported, y 5,744 5,554 5,439 5,188 5,136 5,067 D 9,132 9,677 10,017 10,193 10,149 10,075 5,756 9,328 (a) Find the coefficient of determination and interpret the result. (Round to three decimal places as needed.)
How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y be the average weight of the pony (in kilograms). x 3 6 12 20 26 y 60 95 140 160 189 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Would you say the correlation is low, moderate, or strong? low moderate strong Would you say the correlation is positive or negative? positive negative (c) Use a calculator to verify that x = 67, x2 = 1265, y = 644, y2 = 93,546, and xy = 10,544. Compute r. (Round your answer to three decimal places.) As x increases from 3 to 26 months, does the value of r imply that y should tend to increase or decrease? Explain your answer. Given our value of r, y should…
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.
B-4 A toy store manager would like to know how the price can affect the sales of toys. In his data, he obtained 100 pairs of prices (unit: £) and volume of sales (unit: hundreds) for the toys. A simple linear regression was run with Sales as the dependent variable and Price as the independent variable with the following results. Regression Statistics R Square Adj. RSqr StErr of EST 0.876 0.767 0.701 4.184 Summary Table Variable Coeff. Std. Err Intercept 64.742 11.310 Price -2.645 0.602 (a) Write down the estimated regression equation. Explain this regression equation. (b) What's the value for R Square? Explain the meaning of this value. (c) Test the significance of the model at a=0.05 level. Write down the hypothesis you are testing, the statistic you use to evaluate the test, and your conclusion. (d) Use the regression output to construct a 99% confidence interval for the predicted sales when the price is set to be 15. (e) A colleague in the toy store claims that £1 increase in the…
An educator wants to see how the number of absences for a student in her class affects the student's final grade by formulating the equation of the regression line. The data obtained from a sample are shown. Required: Slope of the regression line Only the final answer should be rounded-off to TWO decimal places. 12 Number of absences (x) 10 2 0 7 4 Final Grade (y) 65 68 70 94 77 96
Find the value of regression
Using the given equation for the regression line shown, determine the amount of time required to completely burn the candle. [2C] A Burning Candle 35.0 30.0 25.0 y = -0.2x + 30 20.0 15.0 10.0 5.0 0.0 20 40 60 80 100 Time (min) Height of Candle (cm)
Consider the following table, find the value of the INTERCEPT (b) of the regression line. X Values Y Values 23 8 22 25 4 24 7 21
Can you please help with sub-parts C and D
search Refer to the data set: y X -3 -2 =1 -00 .......... 1 8 1 7 −IN 01 1 2 2 4 Part a: Make a scatter plot and determine which type of model best fits the data. Part b: Find the regression equation. Part c: Use the equation from Part b to determine y when x = 5 For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph V Arial h V © O Click Save and Submit to save and submit. Click Save All Answers to save all answers. 10pt DELL
Two variables are defined, a regression equation is given, and one data point is given. Study = number of hours spent studying for an exam Grade = grade on the exam GRADE= 41.0 + 3.7 (STUDY) THE DATA POINT IS A STUDENT WHO STUDIED 10 HOURS AND RECIEVED AN 81 ON THE EXAM…

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