1. Linear Regression Given 4 data points: 5 2 7 wl 9 15 Use simple linear...
1. Linear Regression Given 4 data points: 5 2 7 wl 9 15 Use simple linear regression to estimate ßo and ß, for the best-fit line Û=B. + B1x Calculate these values: L ñ | Sxx Sxy ß I I Sketch the regression line and the data points below
Probability and Statistics 1. Linear Regression Given 4 data points: X Y 5 15 Use simple linear regression to estimate ßo and ß, for the best-fit line ỹ ß0 + ßqx Calculate these values: x | 7 | S | Spy | Bo | Big Sketch the regression line and the data points below
4. A simple linear regression was fit for a dataset with 35 data points. The sample variance of the response was found to be 2.4 and 62 was found to be 1.3. What was the value of R2 for this data?
Consider the following data: x : -7, -5, -1, 0, 2, 5, 6, .y: 15, 12 ,5, 2, 0, -5, -9. Using linear regression find the equation in the form y=mx+b. b) Check your results for the coefficients in the trial function using a built-in function in Matlab, Python, or Mathematica. c) Plot the data points as dots and the best-fit line as a solid line on the same figure.
Question 5. Given sample data (x, y), and sample size n. We fit the simple regression model: and estimate the least square estimators (a) Suppose A,-1, ß,-2, and x-1. Compute у. b) Suppose S and sry 0.5, compute the R2. Question 5. Given sample data (x, y), and sample size n. We fit the simple regression model: and estimate the least square estimators (a) Suppose A,-1, ß,-2, and x-1. Compute у. b) Suppose S and sry 0.5, compute the R2.
QUESTION 20 In a simple linear regression model the data is given as X: 1, 2, 3, 4; Y: 7, 10, 9, 12. The estimated intercept is 6. The estimated slope is 1.4. The sum of residuals is 0 3.2 5 38
4. (35 points) Use multiple linear regression to fit the following experimental data, 12 1 4 5.5 1.5 5 y 13 22 16 9 9 (a) Compute the coefficients, the coefficient of determination , the standard deviation Sy, and the standard error of the estimate S/. Show your calculations. (b) Write a MATLAB script that solves part (a).
2. R programming 2·The data set prostate in the faraway package is froma study on 97 men with prostate cancer who were due to receive a radical prostatectomy We are interest is in predicting lpsa (log prostate specific antigen) with Icavol (log cancer volume). (a) Draw a scatterplot -does a simple linear regression model seem reasonable? (b) Without using the R function Im), compute the values T,Y, Sxx, Syy and Sxy. Com- pute the ordinary least squares estimates of the...
2. The data set prostate in the faraway package is from a study on 97 men with prostate cancer who were due to receive a radical prostatectomy. We are interest is in predicting lpsa (log prostate specific antigen) with lcavol (log cancer volume). (a) Draw a scatterplot - does a simple linear regression model seem reasonable? (b) Without using the R function Im(0, compute the values , Y,Sxx, Syy and Sxy. Com pute the ordinary least squares estimates of the...
Given the following data set X3 4 5 7 8 7 4 6 7 12 14 a) Draw a Scaker diagram b) Find the coefficient of of determination and Correlation c R² and coefficient c Determine If it is if linear the relation determine is the linear or nonlineare linear regression line d) If line in the and (a) relation sketch above. is linear on the determine the regression same Cordinate System