PARTS 3c-Question 3 only!For a sample of over 160 college students, the following variables were measured:Y = heightX1 = mother’s heightX2 = father’s heightX3 = 1 if male, 0 if femaleThe goal is to predict student’s height using the mother’s and father’s heights, and sex, where sex is categorized using the variable “male” = 1 if male, 0 if female.Question 1The regression model is __________________________________________Regress command results (remember that we now have n = 165 cases; we removed one outlier): Source | SS df MS Number of obs = 165-------------+------------------------------ F( 3, 161) = 104.38 Model | 1679.17741 3 559.725803 Prob F = 0.0000 Residual | 863.31653 161 5.36221447 R-squared = 0.6604-------------+------------------------------ Adj R-squared = 0.6541 Total | 2542.49394 164 15.5030118 Root MSE = 2.3156 ------------------------------------------------------------------------------ height | Coef. Std. Err. t P|t| [95% Conf. Interval]momheight | .2996154 .0687614 4.36 0.000 .1638247 .435406 dadheight | .412135 .0510733 8.07 0.000 .311275 .512995 male | 5.298218 .3637717 14.56 0.000 4.579839 6.016597constant | 16.96746 4.658309 3.64 0.000 7.768196 26.16673Question 23-a - Is the model useful and if so how did you determine it is useful? What measures did you use?3-b - Which (if any) of the independent variables, at a confidence level of 95%, are useful in the model?3-c – Would your answer to question 3-b change if you use a 90% confidence level.3-d - Which factor (independent variable) is the best predictor? Question 3The college has a policy that a student must be 5 ft 11 inches tall in order to try out for a particular sport. Given my mother’s height is 5 ft 4 inches tall and my father was 6 ft tall will I be allowed to try out for the team. You must show calculations.

Question

PARTS 3c-Question 3 only!For a sample of over 160 college students, the following variables were measured:Y = heightX1 = mother’s heightX2 = father’s heightX3 = 1 if male, 0 if femaleThe goal is to predict student’s height using the mother’s and father’s heights, and sex, where sex is categorized using the variable “male” = 1 if male, 0 if female.Question 1The regression model is  __________________________________________Regress command results (remember that we now have n = 165 cases; we removed one outlier):      Source |       SS       df       MS              Number of obs =     165-------------+------------------------------           F(  3,   161) =  104.38       Model |  1679.17741     3  559.725803           Prob > F      =  0.0000    Residual |   863.31653   161  5.36221447           R-squared     =  0.6604-------------+------------------------------                        Adj R-squared =  0.6541       Total |     2542.49394   164  15.5030118               Root MSE      =  2.3156 ------------------------------------------------------------------------------      height |      Coef.              Std. Err.       t    P>|t|     [95% Conf. Interval]momheight | .2996154  .0687614    4.36   0.000     .1638247     .435406    dadheight |  .412135  .0510733     8.07   0.000      .311275     .512995        male  |       5.298218   .3637717     14.56    0.000      4.579839      6.016597constant |   16.96746  4.658309       3.64    0.000       7.768196     26.16673Question 23-a - Is the model useful and if so how did you determine it is useful? What measures did you use?3-b - Which (if any) of the independent variables, at a confidence level of 95%, are useful in the model?3-c – Would your answer to question 3-b change if you use a 90% confidence level.3-d - Which factor (independent variable) is the best predictor? Question 3The college has a policy that a student must be 5 ft 11 inches tall in order to try out for a particular sport.  Given my mother’s height is 5 ft 4 inches tall and my father was 6 ft tall will I be allowed to try out for the team.  You must show calculations.

Accepted Answer

3-c
Given confidence level is 90%.
Significance level is α=1-0.90=0.10.
Decision Rule:
If p-value ≤…