Hi, Can you please answer the few homework problems I am stuck on with all correct answers? THANK YOU!!!

1. (Choose all the correct answers, Note that there are negative points for choosing incorrect answers.). The following is true for r2 Can only be meaningfully interpreted for certain types of regressions The square root of which gives the correlation coefficient. Is also known as coefficient of determination Is a number between 0 and 1 as it is a proportion It is obtained by squaring the correlation coefficient It describes how well the model fits the data as it tells you how much of the variation in the dependent variable is explained by the independent variable. 1. QUESTION 2 In a simple linear regression, the relationship between the correlation coefficient and the slope coefficient is best described by: Their signs are the same. If the correlation coefficient is positive, the slope coefficient is positive as well. If the correlation coefficient is negative, the slope coefficient is negative as well. But their values may be different. Their signs are such that if the correlation coefficient is positive, the slope coefficient is negative and if the correlation coefficient is negative, the slope coefficient is positive. But their values may be different. Their value and their signs are the same. They have no specific relationships and are completely independent. 1. QUESTION 3 (Choose all the correct answers. There is negative marking for incorrect answers) After I ran a regression between Exercise Time in minutes (X) and calories burnt (Y), I got the coefficient for the Intercept as 50 and the coefficient for Exercise time as 5. The following is then true The regression line is then given by: Exercise time = 50 + 5 (Calories burnt) For each minute of exercise done the person burns 5 more calories. The regression line is then given by: Calories burnt = 50 + 5 (Exercise time) According to the equation, a person who does not exercise (zero minutes of exercise) still burns 50 calories. This is not meaningful and it is probable that "0 minutes" was not part of the sample data. The slope of the regression line is 5 and the y-intercept is 50. For each minute of exercise done the person burns 5 less calories. For each minute of exercise done the person burns 50 more calories. For each minute of exercise done the person burns 50 less calories. The slope of the regression line is 50 and the y-intercept is 5. 1. QUESTION 4 A simple linear regression Allows only for decreasing relationships Allows only for increasing relationships denotes a line where the slope is equal to the correlation coefficient Uses a linear relationship between one independent variable and one dependent variable 1. QUESTION 5 (Choose ALL the correct answers. There is more than one correct answer. There is negative marking for choosing incorrect answers.) Regression model is a causal model that connects one independent variable with one or more dependent variables is just like correlation and hence is redundant is a causal model that connects one dependent variable with one or more independent variables can be used for predicting the value of a dependent variable given the values for independent variables. But the confidence reduces with extrapolation