Question

Kardal did a study to determine the correlation between men’s heights, x, and their shoe sizes, y, and found the following data:

(60, 8.5), (65, 10), (66, 12), (68, 11.5), (63, 9.5), (72, 12.5), (62, 8.5), (69, 12.5), (70, 11.5)

Kardal used the line of best fit to predict that a man 80 inches tall would wear about a size 16 shoe. What can be concluded about this prediction? Check all that apply.

The prediction is reasonable.
The prediction is an interpolation.
No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted.
A prediction cannot be made for a man who is 80 inches tall.
A man who is 80 inches tall will likely wear a size 12.5 shoe.

Answer 1

Answer:

first and third option:)

Step-by-step explanation:

Answer 2

Kardinal did a study to determine the correlation between men’s heights, x, and their shoe sizes y, the conclusion about this prediction is mathematically given as The prediction is reasonable, and No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted. Option A ,C.

What can be concluded about this prediction?

Generally, the equation for the equation of the line is mathematically given as

y=0.377x-14.214

Where the value of R^2 =0.7784 and x=80

y=0.377x-14.214

Hence

y=0.377(80)-14.214

y=16

In conclusion, Although no data is provided in the scatterplot for a height of 80 inches, a shoe size may still be estimated.

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