Directions MNeatly write your responses in the spaces provided. Use a blue or black pen. Don't write in the margins. Remember to complete the submission information on every page you turn in. 1. The following graph is a residual plot derived from a scatterplot that predicted the height of girls from their ages (in years). A. Does the residual plot indicate that a line is a good model for predicting the height of girls from their ages? Explain. (10 points) No, it suggests the exact opposite. This is due to the fact that a line is an inadequate model for the heights when residual plots show a pattern. If you were using the regression line to predict the y-value for x = 5.5 years, would your prediction most likely be too large or too small? Explain your reasoning. (10 points) Most certainly, the projection would be too low. This is because our projected value is lower than our observed value, making the residual positive, and the predicted value has a positive residual since residual = observed valve-predicted value. . The correlation coefficient r between the values assumed by two variables, X and Y is .75, the standard deviations of X and Y are 5,=1.88 and 5,=2.45, respectively, and the point (13, 9) is on the line of best fit. b=r y=a-o l:.n |,_t.n . Find the slope of the line of best fit to the raw-score scatterplot. (5 points) B. Find the equation of the line of best fit. (5 points) C. Find y given that.x =12 (6 points) 3. A government agency cited a manufacturing company for discrimination since 55% of males applying for a position were hired, and only 42% of the female applicants were hired. The company responded that there were two types of positions open for application, assembly line and management, and that a higher percentage of women were hired at each position: 85% to 75% for the assembly line positions and 20% to 15% for the management positions. Explain what seems to be going on here. (16 points)