Suppose the entering freshmen at a certain college have a mean combined SAT score of 1230, with a standard deviation of 129. In the first semester, these students attained a mean GPA of 2.64, with a standard deviation of 0.53. A scatterplot showed the association to be reasonably linear, and the correlation between SAT score and GPA was 0.48. Complete parts a through f below. a) Write the equation of the regression line. GPĀ =DScore (Round to five decimal places as needed.) b) Explain what the y-intercept of the regression line indicates. O A. For each additional point on the SAT, the model predicts the freshman's GPA will increase by a value equal to the y-intercept of the regression line. O B. For each additional point of GPA, the model predicts the freshman's SAT score will increase by a value equal to the y-intercept of the regression line. OC. The y-intercept represents the predicted freshman's SAT score if they have a 0 GPA. It has no practical interpretation. O D. The y-intercept represents the predicted freshman's GPA if they score a 0 on the SAT. It has no practical interpretation. c) Interpret the slope of the regression line. O A. For each increase on the SAT score equal to the slope, the model predicts the freshman's GPA will increase by 1. O B. The slope represents the predicted freshman's GPA if they score a 0 on the SAT. It has no practical interpretation. OC. For each additional point on the SAT, the model predicts the freshman's GPA will increase by a value equal to the slope of the regression line. O D. For each additional noint of GPA the model nredicts tha freshman's SAT score will increase hv a valuA Anual to the slone of the rearession line Click to select your answer(s).

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.