MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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How to calculate the standard error for multiple regression in order to get the 95% confidence interval? Explain
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- true or falsearrow_forwardThe prediction equation for the data given below is y_hat = -3.98 + 0.56x. What is the residual value when x = 10? 10 2 11 2 15 4 17 0.38 1.62 None Existsarrow_forwardThe table below lists weights (carats) and prices (dollars) of randomly selected diamonds. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence o support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 95% confidence level with a diamond that weighs 0.8 carats. Weight Price 0.3 $508 a. Find the explained variation. 0.4 $1153 0.5 $1332 Round to the nearest whole number as needed.) . Find the unexplained variation. Round to the nearest whole number as needed.) c. Find the indicated prediction interval.arrow_forwardYou are analyzing a dataset containing 379 datapoints, and want to use 13 predictor variables to create a multiple variable linear regression model of the data. You conduct an ANOVA analysis, and yield a R² of 38%. Using this information, what would be the F statistic of your analysis?arrow_forwardthe light and build a 95% confidence interval on the proportion of English soccer fans believing that Liverpool will win the 2019-2020 title. If needed, give the exact Excel formula allowing to compute the confidence interval. Question 5 You have a sample of 223 observations about the daily returns of a company called VA and of an index fund called IND. The table below provides some partial results about a simple linear regression in which VA is the dependent variable and IND is the independent variable. The fitted regression model is: VA = bo + bị* IND. Explain and justify clearly your answer to each question. Give the numerical value when possible. Coefficient Standard Error Upper 95% Test Estimate Statistic Lower 95% Intercept 0.0000584 Q1 0.052 -0.0021549 Q3 Slope 92 0.0555300 30.581 오4 1) What is the value that should appear in the cell with the label Q1? 2) What is the value that should appear in the cell with the label Q2? 3) What is the value that should appear in the cell with…arrow_forwardA data ninja has created a multiple regression model. There are 3 independent variables in the model. The variables and their P-values can be found in the table below. Independent VariableP-ValueX1: Advertising0.142X2: Social Media0.006X3: Coupons0.071 QUESTION: Study the P-Values. At 90% confidence level, which independent variable(s) can be proven significant in the model? Group of answer choices X3 only X1 only X2 only X2 and X3arrow_forwardModified True or False VIF is a measure of how much the variance of the estimated regression coefficients are inflated.arrow_forwardIn a regression analysis, three independent variables are used in the equation based on a sample of 47 observations. In the ANOVA table for a multiple regression analysis, what are the degrees of freedom associated with the F-statistic? Multiple Choice 3 and 46 4 and 47 3 and 43 2 and 46arrow_forwardA linear regression model based on a random sample of 36 observations on the response variable and 4 predictors has a multiple coefficient of determination equal to 0.697. What is the value of the adjusted multiple coefficient of determination?arrow_forwardPlease tapy answerarrow_forwardPublic health researchers would like to evaluate whether information on age (in years) and weight (in kg) could be used to predict shoe size of students. The output of the linear regression analysis is given below. 95% confidence interval Unstandardized Beta t Lower bound Upper bound (Constant) 6.493 1.121 -5.191 18.177 Age (years) -0.462 -1.617 -1.037 0.114 Weight (kg) 0.155 7.568 0.114 0.197 Dependent variable: shoe size A) Write null hypotheses for the linear regression analysis. B) Interpret the results of the linear regression in not more than 100 words. C) Write a complete equation for the results of the linear regression analysisarrow_forwardWhat are the different measures used for the OLS estimate of the multiple regression line?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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