(b) Fit and interpret the regression of the height of the plume on the type of soda. Predicted Height = (]) + (D)Brand A + (1)Diet (Round to three decimal places as needed.)Interpret this regression model. Choose the correct answer below. O A. The brand of cola has no impact on the height of the plume. This implies that the height of the plume is completely explained by whether the cola is diet. O B. Whether the cola is diet has no impact on the height of the plume. This implies that the height of the plume is completely explained by the brand of cola. O C. Both of the dummy variables have an impact on the height of the plume. Since both of the regression coefficients are negative, the Brand B regular soda produces the largest plume. O D. Both of the dummy variables have an impact on the height of the plume. Since both of the regression coefficients are positive, the Brand A diet soda produces the largest plume.(c) How would the fit of the model change if the regression only included a single dummy variable for diet versus regular? O A. The model would be a line with slope 0 as there is no association between the height of the plume and the type of cola. O B. The fit of the model would decrease since the brand of cola partially explains the variation in height. O C. The fit of the model would increase since the brand of cola partially explains the variation in height. O D. The fit of the model would not change.(d) Do the data satisfy the conditions required for inference in the multiple regression model fit in (c)? Assume that the both samples were suitably randomized. Select all conditions below that are clearly not satisfied. A. No obvious lurking variables B. Nearly normal O C. Similar variances OD. Evidently independent OE. Is it reasonable to assume that all conditions are satisfied.E Homework: HW CH26 Question 5, 26.1.52-T HW Score: 36.25%, 2.17 of 6 points Part 1 of 6 Points: 0.3 of 1 TO A popular pastime has been dropping a particular candy into fresh bottles of cola to generate a plume of fizzing bubbles. Does it matter whether diet soda is used? These data give the brand and type of soda (4 replications for each combination of Brand A/Brand B and diet/regular) and the height in inches of the plume generated. Complete parts (a) through (e) below. Click the icon to view the soda plume data. (a) Summarize the data in a plot that shows which combination of brand and type produce the largest plume. Choose the correct answer below. O A. O B. O c. A Height 100 * Height 100- * Height 100- o 80- co o o 80- 8 80- 60- 60- 60- 40- 40- 40- 20- 20- 20- A/D A/R B/D B/R A/D AR B/D B/R AD AR B/D B/RX Data table Brand Type Height (in) D(Brand A) D(Diet) Brand A Diet 72 Brand A Diet 91 Brand A Diet 75 Brand A Diet 83 Brand A Regular 42 Brand A Regular 46 Brand A Regular 36 Brand A Regular 41 0 0 0 0 4 4 4 4 0 0 0 0 - 6 4 - Brand B Diet 82 Brand B Diet 67 Brand B Diet 96 Brand B Diet 82 Brand B Regular 50 Brand B Regular 48 Brand B Regular 25 Brand B Regular 36