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
Accepted Solution
A:
Answer: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 xThe 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)