Multiple regression. The nbaallelo_slr. csv data base contains information on 126315 NBA games between 1947 and 2015. The columns report the points made by one team, the Elo rating of that team coming into the game, the Elo rating of the team after the game, and the points made by the opposing team. Load the data set into a data frame.
Use the ols function to perform a multiple linear regression with pts as the response variable and opp_pts and elo_i as the predictor variables.
Create an analysis of variance table using the results of the multiple regression.
Result must be:
If the Elo rating of the team after the game, elo_n, is used instead of elo_i, the output is:
sum_sq df F PR(>F)
elo_n 1.481593e+06 1.0 11335.413055 0.0
opp_pts 1.080327e+07 1.0 82653.915172 0.0
Residual 1.650946e+07 126311.0 NaN NaN
Default template for coding:
# Import the necessary modules
nba = # Code to read in nbaallelo_slr. csv
# Perform multiple linear regression on pts, elo_i, and opp_pts
results = # Code to perform multiple regression using statsmodels ols
# Create an analysis of variance table
aov_table = # Code to create ANOVA table
# Print the analysis of variance table
print(aov_table)

Write a program that displays the following menu: geometry calculator 1. calculate the area of a circle 2. calculate the area of a rectangle 3. calculate the area of a triangle 4. quit enter your choice (1-4): if the user enters 1, the program should ask for the radius of the circle and then display its area. use the following formula: area = ď€(the square of r) use 3.14159 for ď€ and the radius of the circle for r. if the user enters 2, the program should ask for the length and width of the rectangle and then display the rectangle’s area. use the following formula: area = length * width if the user enters 3, the program should ask for the length of the triangle’s base and its height, and then display its area. use the following formula: area = base * height * .5 if the user enters 4, the program should end. input validation: display an error message if the user enters a number outside the range of 1 through 4 when selecting an item from the menu. do not accept negative values for the circle’s radius, the rectangle’s length or width, or the triangle’s base or height. note: if the user enters an improper menu choice (1-4), the program prints "the valid choices are 1 through 4. run the program again and select one of those." if the user enters a negative radius, the program prints "the radius can not be less than zero." if the user enters a negative value for height or base, the program prints "only enter positive values for base and height."