The article “Multiple Linear Regression for Lake Ice and Lake Temperature Characteristics” by Gao & Stefan (1999) presents data on the maximum ice thickness in mm (Thickness), average number of days per year of ice cover (DaysIceCover), average number of days the low temperature is below 8 degrees centrigrade (DaysLessThan8) and the average snow depth in mm (AvgSnowdepth) for 13 lakes in Minnesota. The data are in the file iceThickness.csv.
The SAT is a standardized college entrance exam taken by many high school students across the United States. In certain regions, the SAT is a popular exam used in college admissions, while in other regions the ACT or other metrics are used for college admissions. Thus, the percentage of students taking the SAT varies greatly by state and region. The file stateSATscores.csv contains average SAT scores for each of the 50 states in the USA for the year 1997 along with several other variables (State name; Expenditure – expenditure per pupil in average daily attendance in public elementary and secondary schools; PT.Ratio – the average pupil to teacher ratio in public schools; Salary – the estimated average salary of public school teachers in the state; PercentSAT – the percentage of students electing to take the SAT exam; Verbal – the average Verbal composite score; Math – the average Mathematics composite score; and SAT – the average composite SAT score).
Perform the following with this data:
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