A food bank investigates if the number of times their donors walk by a homeless person each week impacts donors’ charitable contribution to the food bank. The data are presented below in standard form. # of homeless people seen each week Donation to food bank Donor ZX ZY 1 -1.3 0.36 2 0.64 -0.09 3 -1.1 1.26 4 -0.14 0.14 5 1.41 -0.54 6 -0.52 -0.09 7 1.03 -1.9 8 0.64 -0.99 9 0.83 0.36 10 -1.49 1.49 What does ΣZXZY equal? A) 941 B) 7.86 C) -7.16 D) -4.44 What is the correlation (Pearson’s r) between the number of homeless people donors see each week and their donation to the food bank (rounded to 2 decimal places)? A) .98 B) -.80 C) .72 D) -.56 What is the obtained t-value for this r? A) -2.96 B) -16.35 C) -3.72 D) -1.89 What are the degrees of freedom? A) 4 B) 20 C) 8 D) 10 What is the critical t-value? A) 3.68 B) 2.31 C) 2.01 D) 3.30 What is your conclusion? A) There is no significant correlation between number of homeless people seen each week and donation to the food bank. B) There is a significant positive correlation between number of homeless people seen each week and donation to the food bank. C) There is a significant negative correlation between number of homeless people seen each week and donation to the food bank. D) There is a significant correlation between number of homeless people seen each week and donation to the food bank, but there is not enough information to identify the direction of correlation.
A food bank investigates if the number of times their donors walk by a homeless person each week impacts donors’ charitable contribution to the food bank. The data are presented below in standard form. # of homeless people seen each week Donation to food bank Donor ZX ZY 1 -1.3 0.36 2 0.64 -0.09 3 -1.1 1.26 4 -0.14 0.14 5 1.41 -0.54 6 -0.52 -0.09 7 1.03 -1.9 8 0.64 -0.99 9 0.83 0.36 10 -1.49 1.49 What does ΣZXZY equal? A) 941 B) 7.86 C) -7.16 D) -4.44 What is the correlation (Pearson’s r) between the number of homeless people donors see each week and their donation to the food bank (rounded to 2 decimal places)? A) .98 B) -.80 C) .72 D) -.56 What is the obtained t-value for this r? A) -2.96 B) -16.35 C) -3.72 D) -1.89 What are the degrees of freedom? A) 4 B) 20 C) 8 D) 10 What is the critical t-value? A) 3.68 B) 2.31 C) 2.01 D) 3.30 What is your conclusion? A) There is no significant correlation between number of homeless people seen each week and donation to the food bank. B) There is a significant positive correlation between number of homeless people seen each week and donation to the food bank. C) There is a significant negative correlation between number of homeless people seen each week and donation to the food bank. D) There is a significant correlation between number of homeless people seen each week and donation to the food bank, but there is not enough information to identify the direction of correlation.
A food bank investigates if the number of times their donors walk by a homeless person each week impacts donors’ charitable contribution to the food bank. The data are presented below in standard form. # of homeless people seen each week Donation to food bank Donor ZX ZY 1 -1.3 0.36 2 0.64 -0.09 3 -1.1 1.26 4 -0.14 0.14 5 1.41 -0.54 6 -0.52 -0.09 7 1.03 -1.9 8 0.64 -0.99 9 0.83 0.36 10 -1.49 1.49 What does ΣZXZY equal? A) 941 B) 7.86 C) -7.16 D) -4.44 What is the correlation (Pearson’s r) between the number of homeless people donors see each week and their donation to the food bank (rounded to 2 decimal places)? A) .98 B) -.80 C) .72 D) -.56 What is the obtained t-value for this r? A) -2.96 B) -16.35 C) -3.72 D) -1.89 What are the degrees of freedom? A) 4 B) 20 C) 8 D) 10 What is the critical t-value? A) 3.68 B) 2.31 C) 2.01 D) 3.30 What is your conclusion? A) There is no significant correlation between number of homeless people seen each week and donation to the food bank. B) There is a significant positive correlation between number of homeless people seen each week and donation to the food bank. C) There is a significant negative correlation between number of homeless people seen each week and donation to the food bank. D) There is a significant correlation between number of homeless people seen each week and donation to the food bank, but there is not enough information to identify the direction of correlation.
A food bank investigates if the number of times their donors walk by a homeless person each week impacts donors’ charitable contribution to the food bank. The data are presented below in standard form.
# of homeless people seen each week
Donation to food bank
Donor
ZX
ZY
1
-1.3
0.36
2
0.64
-0.09
3
-1.1
1.26
4
-0.14
0.14
5
1.41
-0.54
6
-0.52
-0.09
7
1.03
-1.9
8
0.64
-0.99
9
0.83
0.36
10
-1.49
1.49
What does ΣZXZY equal? A) 941 B) 7.86 C) -7.16 D) -4.44
What is the correlation (Pearson’s r) between the number of homeless people donors see each week and their donation to the food bank (rounded to 2 decimal places)?
A) .98 B) -.80 C) .72 D) -.56
What is the obtained t-value for this r?
A) -2.96 B) -16.35 C) -3.72 D) -1.89
What are the degrees of freedom?
A) 4 B) 20 C) 8 D) 10
What is the critical t-value?
A) 3.68 B) 2.31 C) 2.01 D) 3.30
What is your conclusion?
A) There is no significant correlation between number of homeless people seen each week and donation to the food bank. B) There is a significant positive correlation between number of homeless people seen each week and donation to the food bank. C) There is a significant negative correlation between number of homeless people seen each week and donation to the food bank. D) There is a significant correlation between number of homeless people seen each week and donation to the food bank, but there is not enough information to identify the direction of correlation.
Definition Definition Relationship between two independent variables. A correlation tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
