Based on the scatter plot, the number 1275 should represent the following in his equation: 1) The estimated rent for a house in the center of the city.
In Mathematics and Euclidean Geometry, the y-intercept is sometimes referred to as an initial value or vertical intercept and the y-intercept of any graph such as a linear equation or function, generally occur at the point where the value of "x" is equal to zero (x = 0).
By critically observing the graph of a linear equation shown in the image attached below, we can reasonably infer and logically deduce the following y-intercept:
Coordinates of y-intercept = (0, 1275).
This ultimately implies that, the linear equation representing the line of best of fot has a y-intercept of 1275 and it indicates the estimated rent for a house in the center of the city.
Complete Question:
Juan wants to rent a house. He gathers data on many similar houses. The distance from the center of the city,x,and the monthly rent for each house,y, are shown in the scatter plot. Juan models the data with a linear equation. Based on the scatter plot, what could the number 1275 represent in his equation?
1) The estimated rent for a house in the center of the city.
2) The estimated minimum rent for a house far from the center of the city.
3) The estimated change in rent for each additional mile from the center of the city.
4) The estimated change in distance from the center of the city for each dollar change in rent.