We all know that when the temperature of a metal increases, it begins to expand. So,we experimented with exposing a metal rod to different temperatures and recorded itslength as follows:TempLength202530354045505560650.51.856.26.57.89.49.810.9Required:1. Implement and plot a simple linear regression for the above data, where thetemperature is "x", and the length is "y"2. Implement and plot a multiple linear regression "Polynomial regression" withdifferent degrees.For example, Degree of 3:Y = Wix' + w2x? + w3x? + W4Where wa represents bias.*you can use normal equation to calculate W' as follow:w = (X".X)4.(XT.Y)Then calculate Y, Where Y = X.WT3. Try degree of 2, 3, 5, and 8

In this experiment, the goal is to analyze the relationship between the temperature and length of a…

Answered: We all know that when the temperature…

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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answer 4&5
The following table shows the hot dogs bought from a street vendor over the course of eight days ("Demand"). Also shown is the temperature for each day in degrees Celsius. Complete parts a and b below. Temperature (°C) 20 Demand 49 11 23 32 36 19 40 5 17 10 21 16 44 20 D 34 a. Calculate the slope and y-intercept for the linear regression equation for these data. ŷ=+* (Round to two decimal places as needed.)
The following table shows the hot dogs bought from a street vendor over the course of eight days ("Demand"). Also shown is the temperature for each day in degrees Celsius. Temperature (°C) 19 Demand 45 10 30 23 34 17 42 a. Calculate the SST. SST = (Round to two decimal places as needed.) 6 19 19 O 13 16 22 42 32 A linear regression on the data gives the equation below. Complete parts a through d below. Predicted Demand = 15.58+1.15(Temperature) (...)
Q.4. Obtain the equation of the line of regression of y on x from the following data and estimate the blood pressure when the age is 50 years. Age in years x Blood pressure y 50 142 40 120 71 162 35 110 60 140 45 125 52 155 47 140 36 111 40 135 65 150 59 153
Refer to the data below which contains the percentage change (X) in a stock market index over the first five trading days of the year and percentage change (Y) in the index over the whole year. Complete parts a and b. (X) (Y) 1.4 0.2 14.7 - 9.4 -0.3 2.9 19.6 20.2 a. Estimate the linear regression of Y on X. A y₁ = taxi (Round to four decimal places as needed.) 2.2 - 3.8 - 1.9 27.7 - 1.3 5.7 22.6 2.4 -1.5 1.3 11.8 26 1.5 - 4.4 - 4.4 20.5 0.7 - 1.0
14. Find out the ‘b’ value of regression from the following data. X Y 10 12 12 13 10 11 8 14 a. 0.25 b. -0.25 c. 0.35 d. -0.35
nkt.1
The City of Bellmore’s police chief believes that maintenance costs on high-mileage police vehicles are much higher than those costs for low-mileage vehicles. If high-mileage vehicles are costing too much, it may be more economical to purchase more vehicles. An analyst in the department regresses yearly maintenance costs (Y) for a sample of 200 police vehicles on each vehicle’s total mileage for the year (X). The regression equation finds: Y = $50 + .030X with a r2 of .90 What is the IV? What is the DV? If the mileage increases by one mile, what is the predicted increase in maintenance costs? If a vehicle’s mileage for the year is 50,000, what is its predicted maintenance costs? What does an r2 of .90 tell us? Is this a strong or weak correlation? How can you tell?
A set of n = 15 pairs of X and Y scores has SSX = 10, SSY = 40, and SP = 30. What is the slope for the regression equation for predicting Y from X? a. 10/30 b. 10/40 c. 40/10 d. 30/10
The following data on x maternal age in years of the young birth mothers and y = weight of baby born in grams summarizes the result of a study. Assume that a simple linear regression model y = Bo + B1x + e is an appropriate model for the study. x-bar = 17 (avg of x's) y-bar = 3004.1 (avg of y's) SSx = 20 SSxy %3D 4903 SSw 1539182.9 n 10 Calculate the value of s-(standard error of regression) and enter the answer to the nearest tenth (1 decimal place).
Solvent cement is used to join PVC joints. Researchers are interested in predicting the amount of time needed for the joint to set (measured in hours) as it is related to the temperature measured in degrees F for 4 to 8-inch diameter pieces. A random sample of PVC joints was taken and a linear regression model was found. Use the following output and the fact that R2 = 0.965 to answer the following questions. 1. Find the equation of the regression line. 2. Interpret the slope in the words of the problem. 3. Find the Coefficient of Determination and interpret in the words of the problem
3. Find the equation of the regression line for the data and graph the scatter plot for the data No of ads (x) Sales (y) 2 5 8 8 10 12 2 4 7 9 10 Find yl at x = 47 ads

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