The basketball coach at a small local college believes that his team plays better and scores more points in front of larger crowds. find out the correlation, slope of regression line (b coefficient), intercept of regression for number of attendance and points scored. in this problem points scored is the dependent variable. number of people attending the game is the independent variable. distribution of points scored in each game and number of people attending the game y x game points scored size of attendance 1 54 378 2 57 350 3 59 320 4 80 478 5 82 451 6 75 250 7 73 489 8 53 451 9 67 410 10 78 215 11 67 113 12 56 250 13 85 450 14 101 489 15 99 472

Step-by-step explanation:

Given that points scored is the dependent variable Y and Number of people attending the game is the independent variable is independent variable x

The correlation coefficient, slope and intercept are calculated as shown below:

xy

37854

35057

32059

47880

45182

25075

48973

45153

41067

21578

11367

25056

45085

489101

47299

Mean371.066666772.4

std dev117.513808715.42632259

covariance667.5733333  

r0.394558035  

Slope3.005642934  

Intercept153.4581182  

y = 3.006x+153.46 is the regression line.

Corre = 0.3945 (weak positive)

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)