Based on the given equation y = 1.6x + 48, we can determine the slope of the line, which is 1.6. Since the slope represents the change in y for every 1 unit change in x, we can say that for every 1 unit increase in shoe size (x), the height (y) will increase by 1.6 inches.
Now, let's look at the answer choices:
A. 7 1/2
B. 10 1/2
C. 12
D. 14
If the shoe size is 7 1/2, we can plug it into the equation:
y = 1.6(7.5) + 48
y = 12 + 48
y = 60
So, if the shoe size is 7 1/2, the predicted height is 60 inches.
If the shoe size is 10 1/2, we can plug it into the equation:
y = 1.6(10.5) + 48
y = 16.8 + 48
y = 64.8
So, if the shoe size is 10 1/2, the predicted height is 64.8 inches.
If the shoe size is 12, we can plug it into the equation:
y = 1.6(12) + 48
y = 19.2 + 48
y = 67.2
So, if the shoe size is 12, the predicted height is 67.2 inches.
If the shoe size is 14, we can plug it into the equation:
y = 1.6(14) + 48
y = 22.4 + 48
y = 70.4
So, if the shoe size is 14, the predicted height is 70.4 inches.
Therefore, the correct answer is:
D. 14
A researcher compared the heights and shoe sizes for 50 men, selected at random. The equation shown describes a line of the best fit for the data where x is the shoe size and y is the height, in inches. y = 1.6x + 48
A. 7 1/2
B. 10 1/2
C. 12
D. 14
1 answer