Complete question :
Data of shoe sizes :
X:
8.5
9.0
9.0
9.5
10.0
10.0
10.5
10.5
11.0
11.0
11.0
12.0
12.0
12.5
Height (y) :
66.5
68.5
67.5
70.0
70.0
72.0
71.5
70.0
71.0
71.5
73.0
73.5
74.0
74.0
Answer:
Kindly check explanation
Step-by-step explanation:
Using the online regression calculator :
The regression model obtained in the form:
ŷ = mx + c is ;
ŷ = 1.792X + 52.176
Where ŷ is the predicted or dependent variable
m = 1.792 is the gradient or slope of the regression line
x = the independent variable
c = 52.176 = intercept, where the line of best fit intersects the y axis.
Given the following x values, predict ŷ
(a) x= 11.5
ŷ = 1.792(11.5) + 52.176 = 72.784
(b) x= 8.0
ŷ = 1.792(8.0) + 52.176 = 72.784 = 66.512
(c) x = 15.5
ŷ = 1.792(15.5) + 52.176 = 79.952
(d) x = 10.0
ŷ = 1.792(10.0) + 52.176 = 70.096
The predicted values are meaningful as they show are very close to the actual values of height (y). This could be attributed to the high correlation Coefficient of 0.9299 which exists between both variables
