In Exercises, assume that the variables under consideration satisfy the assumptions for regression inferences. What statistic is used to estimate a. the y-intercept of the population regression line? b. the slope of the population regression line? c. the common conditional standard deviation, σ, of the response variable?

Which of the following is an assumption of the regression model? Select one: a. X and Y are independent variables. b. The errors of prediction are uniformly distributed. c. The error terms of X are dependent on the error terms of Y. d. There exists a linear association between variables X and Y.

Does Job stress influence overall life satisfaction? A sample of 7,814 people were surveyed, and this is the result of the regression analysis:   Descriptive Statistics   Mean Std. Deviation N Life satisfaction 7.97 1.194 7817 Job stress 3.16 1.667 7817    Model Summaryb Model R R Square Adjusted R Square Std. Error of the Estimate Change Statistics R Square Change F Change df1 df2 Sig. F Change 1 .228a .052 .052 1.162 .052 427.062 1 7815 .000 a. Predictors: (Constant), Job stress b. Dependent Variable: Life satisfaction    ANOVAa Model Sum of Squares df Mean Square F Sig. 1 Regression 577.130 1 577.130 427.062 .000b Residual 10561.161 7815 1.351     Total 11138.291 7816       a. Dependent Variable: Life satisfaction b. Predictors: (Constant), Job stress    Coefficientsa Model Unstandardized…

a) Determine the correlation coefficient, r, and interpret this value in the context of the problem. (Round 4 decimal places)b) Find the equation of the regression line for the given data. (Round the slope and y-intercept 4 decimal places).c) Give a practical interpretation of the slope of the regression line.

Please assist second part? Thank you!

Run a regression analysis on the following bivariate set of data with y as the response variable. y 56.3 -257.6 14.5 670.8 49.4 431 60.7 200.3 60.1 70.3 52.6 -162.4 46.2 -406.9 45.1 -3.6 39.6 292.4 51.2 274.8 53.1 -77.4 50 496.6 46.9 251.5 48.5 -188.7 79.8 233 33.5 -415.6 49.2 431.3 download link provided here: Download CSV Predict what value (on average) for the response variable will be obtained from a value of 32.1 as the explanatory variable. Use a significance level of a = 0.05 to assess the strength of the linear correlation. What is the predicted response value? y = 169.94127 (Report answer accurate to one decimal place.)

3. Regression analysis breaks scores on the DV into... (explain and give equations)