Using R perform linear regression for the following data set and derive the equation. If the age is 12, predict what is the weight? Age 1 3 10 16 26 36 Weight 22 30 50 60 70 75
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Using R perform linear regression for the following data set and derive the equation. If the age is 12, predict what is the weight?
Age 1 3 10 16 26 36
Weight 22 30 50 60 70 75
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- The temperature T (in °C) and length L (in mm) of a heated rod is given in the following table, if: L = a + bT where, a and b are constants, find the best value of constants for each data by using linear regression fit. L (mm) 20 30 40 50 60 70 T(°C) 600.1 600.4 600.6 600.7 600.9 601.0DATASET i Find the linear regression equation of the variable against Y. of the x_i y_i 8 2 10 8 3 2 variable X 4 7 12 8. 4 7 7 7 8 11 3 10 8 10 8 4You run a logistic regression model in R using the glm() function. The dependent variable is the factor variable Y and independent variables are X1 and X2 (in other words, the formula is Y~X1+X2). In the model output, the coefficient of the constant term is a0, the coefficient of X1 is a1, and the coefficient of X2 is a2. Assuming a cutoff = 0.5, which of the following defines the equation of a decision boundary? a0 + a1X1 + a2X2 = 0.5 exp(-(a0 + a1X1 + a2X2)) = 0 a0 + a1X1 + a2X2 = 0 O exp(-(a0 + a1X1 + a2X2)) = 0.5
- Use logistic regression with gradient descent for these data points. alpha=0.4 number of iterations 4 yUse logistic regression with gradient descent for these data points. alpha=0.4 number of iterations = 4 ул xIn the simple linear regression equation ŷ = bo + b₁x, how is b₁ interpreted? it is the change in that occurs with a one-unit change in y O It is the estimated value of ŷ when x = 0 O It is the change in ŷ that occurs when bo increases O it is the change in ŷ that occurs with a one-unit change in
- A regression result of y = Bo + B1x1 + ɛ is given in the below plot, where y is Sales, and x, is TV. What are estimated Bo, ß1 values? 50 100 200 300 TV Sales 25For classification of cancer or benign tumors, the training set has 1% patients have cancer, when trained logistic regression model, the error found to be 1%. Is the results are excellent or not? Why? Use the editor to format your answerTuition($) Applicant Pool Applicant 950 76210 11040 1225 78000 10940 1325 67420 8670 1350 70380 9040 1500 62580 7410 1675 59260 7080 1800 57930 6350 1975 60130 6110 a.develop the multiple regression equation for these data. b. What is the coefficient of determination for this regression equation? c. Determine the forecast for freshman applicants for a tuition rate of $1700 per semester, with a pool of applicants of 63000. CAN YOU SHOW ME ALL THE ANSWER STEP STEP WİTH EXCELL
- In python, for a sample data with 4 columns and 60 rows how do you find the parameters for the regression with the feature map (see attached) where we consider the loss function to be the square of residuals. Once this is done, how do you compute the empirical risk? I've attached some of the data below, it would be sufficient to see how you get results for the question using the above dataset. 1 14 25 620 -1 69 29 625 0 83 27 850 0 28 25 1315 1 41 25 2120 -1 153 31 1315 0 55 25 2600 0 55 31 490 1 69 25 3110 1 83 25 3535Given the following values (200, 400, 800, 1000, 2000): Calculate their mean, variance, and standard deviation. Normalize them using min-max normalization with and . Normalize them using z-score.PLEASE USE RSTUDIO A car dealer wants to find the relationship between the odometer reading and the selling price of used cars. A random sample of 6cars is selected, and the data recorded. Car Odometer Price1 37388 146362 44758 141223 45833 140164 30862 155905 31705 155686 34010 14718 a.Identify the independent and dependent variables. b.Look for the least squares regression line and R-squared. c.Predict a response variable at your choice of predicted variable that is not in the given with corresponding confidence interval. d.Create a scatter plot with the regression line and labels.e.Is the regression line a better fit? PLEASE USE RSTUDIO