The table below reports data consisting of 30 observations. Each observation contains two values (one for Y and one for X). Please construct a linear regression of the structure: Y = a + bX. What is the magnitude of the coefficient b in this model? Y 161 205 301 115 251 89 290 159 46 259 212 301 174 149 130 249 297 229 109 129 212 200 180 303 231 225 138 138 270 192 X 46 63 97 30 81 25 94 52 21 88 64 98 54 42 42 79 95 66 59 47 65 67 57 97 73 71 42 42 86 60 Question 1 options: 5.630 3.035 0.998 20.442 Save Question 2 (1 point) The table below consists of 30 observations where each observation includes two values (Y and X). Please estimate the following linear formulation using the table below: Y=a+bX and please use the estimated model to predict the value of Y when X is 50. Y 161 205 301 115 251 89 290 159 46 259 212 301 174 149 130 249 297 229 109 129 212 200 X 46 63 97 30 81 25 94 52 21 88 64 98 54 42 42 79 95 66 59 47 65 67 180 303 231 225 138 138 270 192 57 97 73 71 42 42 86 60 Question 2 options: 157.37 155.25 158.39 151.95 Save Question 3 (1 point) Please use the dataset from the table below to estimate the following linear regression model: Y=a+bX What is the residual for the very first observation in the dataset (Y=161, X=46)? Y 161 205 301 115 251 89 290 159 46 259 212 X 46 63 97 30 81 25 94 52 21 88 64 301 174 149 130 249 297 229 109 129 212 200 180 303 231 225 138 138 270 192 98 54 42 42 79 95 66 59 47 65 67 57 97 73 71 42 42 86 60 Question 3 options: 15.772 11.852 17.995 none of the above Save Question 4 (1 point) The table below contains 30 observations, each containing Y and X values. Please estimate the following linear regression model on this dataset: Y=a+bX In this estimation, what is the level of statistical significance for the intercept coefficient (a) to be different from zero? I.e., the level of significance above which, the test where the null hypothesis is that the coefficient (intercept) is equal to zero, fails to reject the null. Y 161 205 301 115 251 89 290 159 46 259 212 301 174 149 130 249 297 229 109 129 212 200 180 303 231 225 138 138 270 192 X 46 63 97 30 81 25 94 52 21 88 64 98 54 42 42 79 95 66 59 47 65 67 57 97 73 71 42 42 86 60 Question 4 options: 0.42361 0.57693 0.5653 5.630 Save The table below reports data consisting of 30 observations. Each observation contains two values (one for Y and one for X). Please construct a linear regression of the structure: Y = a + bX. What is the magnitude of the coefficient b in this model? Y 161 205 301 115 251 89 290 159 46 259 212 301 174 149 130 249 297 229 109 129 212 200 180 303 231 225 138 138 270 192 X 46 63 97 30 81 25 94 52 21 88 64 98 54 42 42 79 95 66 59 47 65 67 57 97 73 71 42 42 86 60 Question 1 options: 5.630 3.035 0.998 20.442 Save Question 2 (1 point) The table below consists of 30 observations where each observation includes two values (Y and X). Please estimate the following linear formulation using the table below: Y=a+bX and please use the estimated model to predict the value of Y when X is 50. Y 161 205 301 115 251 89 290 159 46 259 212 301 174 149 130 249 297 229 109 129 212 200 X 46 63 97 30 81 25 94 52 21 88 64 98 54 42 42 79 95 66 59 47 65 67 180 303 231 225 138 138 270 192 57 97 73 71 42 42 86 60 Question 2 options: 157.37 155.25 158.39 151.95 Save Question 3 (1 point) Please use the dataset from the table below to estimate the following linear regression model: Y=a+bX What is the residual for the very first observation in the dataset (Y=161, X=46)? Y 161 205 301 115 251 89 290 159 46 259 212 X 46 63 97 30 81 25 94 52 21 88 64 301 174 149 130 249 297 229 109 129 212 200 180 303 231 225 138 138 270 192 98 54 42 42 79 95 66 59 47 65 67 57 97 73 71 42 42 86 60 Question 3 options: 15.772 11.852 17.995 none of the above Save Question 4 (1 point) The table below contains 30 observations, each containing Y and X values. Please estimate the following linear regression model on this dataset: Y=a+bX In this estimation, what is the level of statistical significance for the intercept coefficient (a) to be different from zero? I.e., the level of significance above which, the test where the null hypothesis is that the coefficient (intercept) is equal to zero, fails to reject the null. Y X 161 46 205 63 301 97 115 30 251 81 89 25 290 94 159 52 46 21 259 88 212 64 301 98 174 54 149 42 130 42 249 79 297 95 229 66 109 59 129 47 212 65 200 67 180 57 303 97 231 73 225 71 138 42 138 42 270 86 192 60 Question 4 options: 0.42361 0.57693 0.5653 5.630 ANOVA df SS MS F Regression 1 131820.6 131820.6 417.8669 Residual 28 8832.898 315.4606 Total 29 140653.5 Coefficients Standard Error t Stat P-value Intercept 5.630013 9.959817 0.565273 0.57639 X 3.034734 0.148457 20.44179 2.29E-18 From the excel The table below reports data consisting of 30 observations. Each observation contains two values (one for Y and one for X). Please construct a linear regression of the structure: Y = a + bX. What is the magnitude of the coefficient b in this model? Y 161 205 301 115 251 89 290 159 46 259 212 301 174 149 130 249 297 229 109 129 212 200 180 303 231 225 138 138 270 192 X 46 63 97 30 81 25 94 52 21 88 64 98 54 42 42 79 95 66 59 47 65 67 57 97 73 71 42 42 86 60 Question 1 options: 5.630 3.035 0.998 20.442 Save Question 2 (1 point) The table below consists of 30 observations where each observation includes two values (Y and X). Please estimate the following linear formulation using the table below: Y=a+bX and please use the estimated model to predict the value of Y when X is 50. Y 161 205 301 115 251 89 290 159 46 259 212 301 174 149 130 249 297 229 109 129 212 200 X 46 63 97 30 81 25 94 52 21 88 64 98 54 42 42 79 95 66 59 47 65 67 180 303 231 225 138 138 270 192 57 97 73 71 42 42 86 60 Question 2 options: 157.37 155.25 158.39 151.95 Save Question 3 (1 point) Please use the dataset from the table below to estimate the following linear regression model: Y=a+bX What is the residual for the very first observation in the dataset (Y=161, X=46)? Y 161 205 301 115 251 89 290 159 46 259 212 X 46 63 97 30 81 25 94 52 21 88 64 301 174 149 130 249 297 229 109 129 212 200 180 303 231 225 138 138 270 192 98 54 42 42 79 95 66 59 47 65 67 57 97 73 71 42 42 86 60 Question 3 options: 15.772 11.852 17.995 none of the above Save Question 4 (1 point) The table below contains 30 observations, each containing Y and X values. Please estimate the following linear regression model on this dataset: Y=a+bX In this estimation, what is the level of statistical significance for the intercept coefficient (a) to be different from zero? I.e., the level of significance above which, the test where the null hypothesis is that the coefficient (intercept) is equal to zero, fails to reject the null. Y X 161 46 205 63 301 97 115 30 251 81 89 25 290 94 159 52 46 21 259 88 212 64 301 98 174 54 149 42 130 42 249 79 297 95 229 66 109 59 129 47 212 65 200 67 180 57 303 97 231 73 225 71 138 42 138 42 270 86 192 60 Question 4 options: 0.42361 0.57693 0.5653 5.630 ANOVA df SS MS F Regression 1 131820.6 131820.6 417.8669 Residual 28 8832.898 315.4606 Total 29 140653.5 Coefficients Standard Error t Stat P-value Intercept 5.630013 9.959817 0.565273 0.57639 X 3.034734 0.148457 20.44179 2.29E-18 From the excel