Part a: in your own words, describe the relationship between the temperature of the city and the sale of sweaters in the city. (5 points)
part b: describe how you can make the line of best fit. write the approximate slope and y-intercept of the line of best fit. show your work, including the points that you use to calculate slope and y-intercept. (5 points)

Answer with explanation:

Ordered Pair of Data Points shown on two dimensional Coordinate plane which shows the relationship between Temperature (°C)-X axis and  Sale of sweaters in the city-Y axis are:

(0,12),  (2.5,10),(2.5,11),(5,10),(7.5,9),(7.5,10),(10,7),(12.5,6),(12.5,8),(15,4),(15,7),(17.5,5),(20,1),(20,3),(22.5,9),(25,1),(27.5,1).

⇒⇒When you will observe the data points carefully , you will find that with rise in temperature ,Sale of Sweaters Decreases or goes down.

2. The  Line of Best fit is that line which passes through few points , a single point or none of the points which represents the data on Scatter plot.

⇒ Drawing the line of best fit by looking at the points on the scatter plot , such that equal number of Data points lie on both sides of line:

⇒Equation of line passing through two points (a,b) and (p,q) is

So, Equation of line passing through (0,12),and (5,10) is

Writing the equation of line in Slope Intercept Form to get slope and Y intercept

→Slope =

→Y intercept =12

the graph on the bottom right