Below are the data for a sample of n=12 participants. Using Group Size (X) and Number of Math Problems Completed Correctly (Y), fill in the blank spaces in following chart to assess this relationship:

Group Size (X)	Math Problems Completed (Y)	X2	Y2	XY
1	26
1	24
2	20
2	23
3	19
3	16
4	14
4	13
5	12
5	11
6	11
6	10
total =	total =

1. What is the correct regression weight (b)? (round to three decimal places here).

A). 27.23

B). 3.043

C). -1.365

D). -3.043

E). -27.23

2. What is the correct regression intercept (a)? (round to three decimal places here)

A). 27.23

B). 3.043

C). -1.365

D). -3.043

E). -27.23

3. What is the correct regression equation (Y')? (use three decimal places here)

A). Y' = 3.043X + 27.233

B). Y' = 27.233X -3.043

C). Y' = -3.043X + 27.233

D). Y' = -3.043X - 27.233

E). X = -3.043Y' + 27.233

4. Imagine a participant was placed in a 7-person group. Given your regression equation, what is the average number of math problems you would expect this participant to complete? (For your final answer, please round to two decimal places - your answer might differ by a few decimals, so choose the BEST option from those below)

A). 22.13

B). 18.44

C). 8.76

D). 5.93

E). 2.11