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