What is the relationship between diamond price and carat size? 307 diamonds were sampled and a straight-line relationship was hypothesized between y = diamond price (in dollars) and x = size of the diamond (in carats). The simple linear regression for the analysis is shown below:
Least Squares Linear Regression of PRICE
Predictor
Variables Coefficient Std Error T P
Constant -2298.36 158.531 -14.50 0.0000
Size 11598.9 230.111 50.41 0.0000
R-Squared 0.8925 Resid. Mean Square (MSE) 1248950
Adjusted R-Squared 0.8922 Standard Deviation 1117.56
Which of the following assumptions is not stated correctly?
◦ The values of ε associated with any two observations are dependent on one another.
◦ The variance of the probability distribution of ε is constant for all settings of the independent variable.
◦ The probability distribution of ε is normal.
◦ The mean of the probability distribution of ε is 0.
Dose–response relationship
Orangutan males are twice the size and weight of females.
Diamond
Eleanor Antin, My Kingdom Is the Right Size, from the series The King of Solana Beach.
Relationship between Income and Happiness in the United States
Typical bacterial size and structure