Description of the data set is provided in page 161 (problem 12 in chapter 8). Dataset “EX0812.txt” is posted. (Note: If you use infile and input statement to read in data, put “$” after the variable sex to indicate that the values are characters. E.g. input id x1 x2 y clrzne sex $ ;) Fit the regression model of Y (change in refraction error) on X1, sex and X1*sex. Write down the fitted regression model.Based on the fitted model in (a), write down the regression models of Y on X1 for males and females separately. What is the difference of intercepts in these two models? What is the difference of slopes in these two models? Which do they correspond to the estimated coefficient in model (a), respectively?Test whether the straight lines for males and females coincide (i.e., are the same) with alpha=0.1. State your null hypothesis in terms of the coefficients. Provide you SAS code and output for conducting the analysis. Figure out your F value and p value based on output, and then draw a conclusion.Test whether the straight lines for males and females are parallel with alpha=0.1. State your null hypothesis in terms of the coefficients. Provide you SAS code and output for conducting the analysis. Figure out your F value and p value based on output, and then draw a conclusion.Based on your answers to questions (c) and (d), comment on differences and similarities in the change in refraction-baseline refractive error relationship for males and females.

Consider a situation that you might want to study through a statistical lens. The situation would require you to study a small sample and make an inference to the population. For example, you might want to understand how likely children are to complete their homework when considering their individual characteristics or maybe you want to understand if children who eat broccoli are more likely to complete their homework than those who do not.Respond to the following in a minimum of 175 words without references:How would you select a test that was appropriate to answer your question?How would you rule out tests that were not appropriate to answer your question?