It might seem reasonable to expect the cost to attend a school to go down as the

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It might seem reasonable to expect the cost to attend a school to go down as the proportion of applicants admitted goes up. Create two scatter plots (one for private schools, one for public) to investigate that hunch. Can we use linear regression to describe that relationship for these? Why or why not?

Use the datasets "Public" (https://openstax.org/r/Chapter8 Data-Sets) and "Private" (https://openstax.org/r/Chapter8 Data-Sets), which give many institutions of higher learning in the United States (public institutions in "Public" and private, non-profit institutions in "Private"), the schools' 75th percentiles on the math section of the SAT (SATM75), the verbal section of the SAT (SATV75), the math section of the ACT (ACTM75), and the English section of the ACT (ACTE75). It also gives the schools' admission rates (AdmRate) and total annual cost of attendance (Cost).

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