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Using the following data below, answer the questions following it and show compl

ID: 3261949 • Letter: U

Question

Using the following data below, answer the questions following it and show complete solution (Round off to 3 decimal places) A. Find the equation of the best fir line and describe the slope and y - intercept in the context of the problem. B. The Metro - North Station of Greenwich, CT has 2804 commuters. Find the best predicted number of parking spots at that station. C. Using the best fit line, how many commuters are there if the parking spots are 1200? D. What is the correlational coefficient and describe the strength and direction of the relationship.

Explanation / Answer

A) Ans:

The regression equation is
Parking_Spots = 87 + 0.346 Commuters


Predictor Coef SE Coef T P
Constant 86.9 191.7 0.45 0.664
Commuters 0.34615 0.08875 3.90 0.006


S = 282.457 R-Sq = 68.5% R-Sq(adj) = 64.0%

B) Ans:

The predicted number of parking spots at the station for CT has 2804 commuters is

Parking_Spots = 87 + 0.346 *2804= 1057.184

C) The number of commuters if the parking spots are 1200 is

1200 = 87 + 0.346 Commuters

=>Commuters =3216.763

D) Ans: Pearson correlation coefficient of Commuters and Parking_Spots = 0.828. It has positive with strong association means that for increase in one variable increase in another variable simultaneously.