Question

A random sample of ten professional athletes produced the following data where x is the number of endorsements the player has and y is the amount of money made (in millions of dollars).

x	y	x	y
0	2	5	11
3	8	4	9
2	6	3	8
1	3	0	3
6	14	5	10

A) Draw a scatter plot of the data.

B) Use regression to find the equation for the line of best fit. (Round your answers to three decimal places.)
ŷ = ____ + ____ x

C) Draw the line of best fit on the scatter plot.

D) What is the y-intercept, a, of the line of best fit? (Round your answer to three decimal places.)
a =

What does it represent? (Round your answer to three decimal places.)

The y-intercept means that on average, players with  ---Select(no/a few/many)--- endorsements earn  million dollars each year.

Answer 1

A)

B)

The independent variable is X, and the dependent variable is Y. In order to compute the regression coefficients, the following table needs to be used:

	X	Y	X*Y	X2	Y2
	0	2	0	0	4
	3	8	24	9	64
	2	6	12	4	36
	1	3	3	1	9
	6	14	84	36	196
	5	11	55	25	121
	4	9	36	16	81
	3	8	24	9	64
	0	3	0	0	9
	5	10	50	25	100
Sum =	29	74	288	125	684

Therefore, we find that the regression equation is:

C)

D)

a = 2.1956

The y-intercept means that on average, players with no endorsements earn 2.1956 million dollars each year.

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