R² measures the percentage of variation in the dependent variable explained by The degrees of freedom in the regression The p-values of the coefficients The variation in the errors in the regression The variation in the right-hand side variables

Linear Regression Model  Discuss the following: i. Interpret the coefficients (a and b) of the regression equation in context. Comment on whether the value of a makes sense in the context of your data. ii. Interpret 2 r r squared   For this question I have the equation and the coefficients of r and r squared  they are as follows: y-hat =-166.65403 + 4.7387237x R (correlation coefficient) = 0.53095364 R-sq = 0.28191177

Question Help Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x Test score, y 1 1 4 4 6. (a) x=2 hours (c) x = 15 hours (b) x- 4.5 hours (d) x= 3.5 hours 38 45 50 47 63 71 Find the regression equation. %3D X+ (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Check Answer Enter your answer in the edit fields and then click Check Answer. Clear All parts 5 Femaining <. rch lyp

Best Multiple Regression Equation For the regression equation given in Exercise 1, the P -value is 0.000 and the adjusted R2 value is 0.925. If we were to include an additional predictor variable of neck size (in.), the P -value becomes 0.000 and the adjusted R2 becomes 0.933. Given that the adjusted R2 value of 0.933 is larger than 0.925, is it better to use the regression equation with the three predictor variables of length, chest size, and neck size? Explain.

Predicting final exams How well do exams given duringthe semester predict performance on the final? One classhad three tests during the semester. Computer output ofthe regression givesDependent variable is Finals = 13.46 R-Sq = 77.7, R-Sq(adj) = 74.1,Predictor Coeff SE(Coeff) t-Ratio P-ValueIntercept -6.72 14.00 -0.48 0.636Test1 0.2560 0.2274 1.13 0.274Test2 0.3912 0.2198 1.78 0.091Test3 0.9015 0.2086 4.32 60.0001Analysis of VarianceSource DF SS MS F-Ratio P-ValueRegression 3 11961.8 3987.3 22.02 60.0001Error 19 3440.8 181.1Total 22 15402.6a) Write the equation of the regression model.b) How much of the variation in final exam scores isaccounted for by the regression model?c) Explain in context what the coefficient of Test3 scoresmeans.d) A student argues that clearly the first exam doesn’t helpto predict final performance. She suggests that this examnot be given at all. Does Test1 have no effect on the finalexam score? Can you tell from this model? (Hint: Doyou think test scores are…

Regression was used to determine if the number of beers a person drinks predicts blood alcohol content (BAC) in a random sample of college students. The results are in the table below. Intercept Beers Coefficients Standard Error 0.013 0.002 -0.013 0.018 t Stat P-value -1.005 0.332 7.480 2.97E-06 Write out the answers to each of the following questions and upload a picture of yo a. Write out the prediction equation. b. Interpret the slope. c. What is the predicted value for BAC for someone who drank 3 beers? Show your work. d. If the number of beers equals 5 and the BAC equals 0.10, what is the residual? Show your work.