In: Statistics and Probability
1. Here in the first case R-squared value is 0.97 on the regression between money spend and money save.
which implies that the amount of money saved and the amount of money spend is highly related.
But we can not use this for predicted purpose, because the sum of the amount of money spend and save is
equal to the total money income by the people. i.e there is a relationship between the money saved ,money spend and
the persons income. So, the amount of money and the money spend are highly related.
but it may happen that a persons income may less but he spend lots of money while save less, where as a persons
income is high and he spend the same amount of money but also save high amount of money. But regression line will
predict that both of them save same amount of money.
2. Though in the 2nd case the no of cops is not related to the number of crimes reported since the R-squared value is
vary low 0.40. But if the no of crops is increase then the no. of crime reported will be high. i.e they are directly related.
Here the R-squared is low so the model is going to predicted vary badly. this is why we can not use this model to predict.