Question

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

Answer 1

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:

x y

378 54

350 57

320 59

478 80

451 82

250 75

489 73

451 53

410 67

215 78

113 67

250 56

450 85

489 101

472 99

Mean 371.0666667 72.4

std dev 117.5138087 15.42632259

covariance 667.5733333

r 0.394558035

Slope 3.005642934

Intercept 153.4581182

y = 3.006x+153.46 is the regression line.

Corre = 0.3945 (weak positive)