Below are a set of heights (in inches) and GPA scores for a sample of 6 students Height GPA 60 55 3.2 62 58 49 61 4.0 3.7 3.9 2.4 2.8 a. Find the correlation coefficient (r) for these two variables by hand: Find the mean and standard deviation for each variable Find the equation of the regression line to predict GPA from height by hand: Find the equation of the regression line to predict height from GPA by hand b. c. d. and e. Based on this data, what is the GPA prediction for a student who is 56 inches tall? f How good is this prediction?

Hye ryung is the president of the local chapter of the american medical students association (amsa). she is organizing local outreach and informational meetings. at her first meeting there are five people present (including herself). every month after that her group grows by 5 people. a. how many members are in the group after 6 months? b. the logistics of hosting and feeding her group at meetings was more complicated than expected. the cost of feeding 5 people at her first meeting was $30, for 10 people it was $35, for 15 it was $45, and after 6 months all of the costs had added up to $100. write a function to model the cost with the number of people attending meetings. c. what connections can you make between the linear growth of the group’s membership and the increasing costs of running meetings?

State whether weight is a function of height for the six students and explain. a. yes, height is a function of weight because two students weigh 165 pounds but have different heights. b. no, height is not a function of weight because two students weigh 165 pounds but have different heights. c. yes, weight is a function of height because for each value of height there is one corresponding value of weight. d. no, weight is not a function of height because there is not enough data to determine a function.

What power can you write to represent the volume of the cube shown? write the power as an expression with a base and an exponent and then find the volume of the cube