Q:

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)