Jack plotted the graph below to show the relationship between the temperature of his city and the number of ice cream cones he sold daily: part a: in your own words, describe the relationship between the temperature of the city and the number of ice cream cones sold. (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)

(A)

If you look at the points plotted on Scatter plot, that is Temperature and Number of Ice cream sold (0,5), (5,15), (7.5,15), (10,24),(10,28), (12,32), (12.5,25), (12.5,30), (15,35),(15,40), (17.5, 35), (20,45), (22.5,36)(23,46), (25,55), (27.5,60)

Abscissa=x=Temperature

Ordinate =y=Number of Ice cream sold

As, you compare x and y variables, in most of cases with increase in temperature , the Sell of Ice cream increases.

So, you can say that , there is strong Positive Correlation between the two variables.

Coming to second part

(B)

A line of best fit is the line which passes through all the points or single point or none of the point or maximum number of points.

If you will look at the points (7.5,15),(12.5,25), (17.5,35),(23,46),the ratio of x value to y value is same ,the line passes through four points.

Also, if you consider the points , (0,5),(5,15),(12.5,30),(15,35),(20,45),(25,55),(27.5,60),the line passes through seven points.

So, we will draw line of best fit passing through these seven points.

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

(y-b)(p-a)=(x-a)(q-b)

Select any two points among seven points and get the line of best fit

(y-15)*(5-0)=(x-5)*(15-5)

(y-15)*5=(x-5)*10

Dividing both sides by ,5

y-15=2* (x-5)

y-15=2 x -10

y=2 x+5,  is the equation of line of best fit.

Slope=2

Y - Intercept=5

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted