Below table contains a data sample where X is the independent, and Y the dependent variable. Using the data, please conduct a regression analysis. Determine first the regression equation with the help of below graph and table, then answer all the questions. Question 31 (1 point) ListenReadSpeaker webReader: Listen The slope (b) of the regressions line is equal to Question 31 options: -1 -2 -3 -4 Question 32 (1 point) ListenReadSpeaker webReader: Listen The intercept (a) of the regressions line is equal to Question 32 options: 12 11 10 9 Question 33 (1 point) ListenReadSpeaker webReader: Listen The standard error of the regression is Question 33 options: 0.96 3.11 1.52 2.83 Question 34 (1 point) ListenReadSpeaker webReader: Listen The standard error of the intercept is Question 34 options: 0.92 1.92 2.92 3.92 Question 35 (1 point) ListenReadSpeaker webReader: Listen You want to test the hypothesis that the intercept is statistically significantly different from zero. To do so, you conduct a t-test. How many degrees of freedom do you have? Question 35 options: n n-2 4 Both b. and c. are correct Question 36 (1 point) ListenReadSpeaker webReader: Listen You want to test the hypothesis that the intercept is statistically significantly different from zero. To do so, you conduct a t-test. Your alpha (the risk you accept to make a Type I error) is alpha=0.1. What is your t-statistic to conduct the hypothesis test? Question 36 options: t=4.11 t=3.11 t=2.11 t=1.11 Question 37 (1 point) ListenReadSpeaker webReader: Listen The standard error of the slope is Question 37 options: 0.89 0.99 1.09 1.19 Question 38 (1 point) ListenReadSpeaker webReader: Listen You want to test the hypothesis that the slope coefficient is statistically significantly different from zero. To do so, you use the attached t-Table. Your alpha (the risk you accept to make a Type I error) is alpha=0.1. What is your t-statistic to conduct the hypothesis test? Question 38 options: t=-2.00 t=-2.24 t=-2.50 t=-2.75 Question 39 (1 point) ListenReadSpeaker webReader: Listen Which statement is true? Given your alpha of alpha=0.1, you Question 39 options: Reject the null for the intercept, and fail to reject the null for the slope Reject the null for the slope, and fail to reject the null for the intercept Reject the null for both the intercept and the slope Fail to reject the null for both the intercept and the slope Question 40 (1 point) ListenReadSpeaker webReader: Listen The explained sum of squares of the regression is ESS = Question 40 options: 20 30 40 50 Question 41 (1 point) ListenReadSpeaker webReader: Listen The residual sum of squares of the regression is RSS = Question 41 options: 4 8 16 32 Question 42 (1 point) ListenReadSpeaker webReader: Listen The total sum of squares of the regression is TSS = Question 42 options: 24 38 56 72 Question 43 (1 point) ListenReadSpeaker webReader: Listen The R-squared of the regression is R2= Question 43 options: 0.46 0.56 0.66 0.76 Question 44 (1 point) ListenReadSpeaker webReader: Listen The F-ratio is Question 44 options: 4 5 6 7 Question 45 (1 point) ListenReadSpeaker webReader: Listen In a regression with one intercept and only one slope coefficient, which two values will be the same? Question 45 options: The F-ratio and the t-score for the intercept The F-ratio and the t-score for the slope The p-value for the F-ratio and the p-value for the t-score of the intercept The p-value for the F-ratio and the p-value for the t-score of the slope coefficient Question 46 (1 point) ListenReadSpeaker webReader: Listen The p-value for the F-ratio is between Question 46 options: 1% and 2% 2% and 5% 5% and 10% 10% and 20% Question 47 (1 point) ListenReadSpeaker webReader: Listen In the regression, how many observations have a residual of zero (are "direct hits")? Question 47 options: 0 1 2 4 Question 48 (1 point) ListenReadSpeaker webReader: Listen Which statement is false? If the slope of a regression line is zero Question 48 options: ESS is zero R Square is zero The F-Stat is zero RSS is zero Question 49 (1 point) ListenReadSpeaker webReader: Listen Which statement is false? A linear regression line always goes through Question 49 options: The origin The mean of x The mean of y Both b. and c. are correct Question 50 (1 point) ListenReadSpeaker webReader: Listen The method used to determine a regression line is called Question 50 options: Ordinal least triangles Opulent least pentagons Obscure least circles Ordinary least squares