C. Suppose Mr. Mearig wondered if any scores may be outliers. Use the IQR rule to indicate that at least one test score is an outlier: Bonus: Speculate a possible reason a teacher may not wish to include outlier scores when judging the difficulty of a test? 3. Suppose the heights of girls at any given age are normally distributed Screenshot 2024-01-11 at 1.21.38 PM A. At 7 years old, Mr. ricarny percentile of heights. was in the 5th If the mean height of 7 year old girls is 122cm with standard deviation of 5cm, how tall was she? Include a sketch of the normal curve shaded to show your answer: B. At 10 years old, the mean height of girls is 138cm with standard deviation of 7cm. Mr. Mearig's daughter was 139cm tall at 10 years old. What is the z-score of her height and new percentile rank? c. To convert from cm to inches, a value would be divided by 2.54 (or multiplied by 214). What would be the mean and standard deviation of girls' heights in inches (from question 3B above)? 4. A linear regression was performed on a random sample of girls' using their heights in inches as the response variable and ages between 2 to 10 years old as the explanatory variable. A. The correlation coefficient (r) was calculated as: r = + 0.87. What does this tell us about the slope of the regression equation as well as the strength of fit of the linear regression? The plot below shows the RESIDUALS of the Linear Regression B. What does the residual plot tell us about using a linear regression model to predict girls' heights by age? Explain: C. Predicting a six-year-old girl's height from the regression equation gives a predicted height of 43 inches. Do you expect this prediction to be accurate? If not, will it be too big or too small? Explain: