Final answer:
The best-fit model for the given data is y = -173.51 + 4.83x, with a moderate positive linear relationship (r = 0.6631).
Step-by-step explanation:
To find the model of best fit for the given data, we can use regression analysis.
The equation of the best-fit line is y = -173.51 + 4.83x.
This means that the predicted value of y (ŷ) is equal to -173.51 plus 4.83 times the value of x.
The slope of the line of best fit is 4.83.
This represents the rate of change in the y values as x increases. The y-intercept of -173.51 represents the value of y when x is 0.
Hence, the correlation coefficient (r) is 0.6631, which indicates a moderate positive linear relationship between x and y.