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

Scatter plot is the plot of graph in which the values of two variables plotted using their coordinates on the graph.

• a) The prediction is reasonable.

• b) No data is given in the scatter plot for a height of 80 inches, but a shoe size can still be predicted.

What is scatter plot?

Scatter plot is the plot of graph in which the values of two variables plotted using their coordinates on the graph.

The average rate of change of the is the ratio of change in y values to the change in x values of the scatter plot.

It can be given as,

$r=\dfrac{f(b)-f(a)}{b-a}$

Given information-

Men’s heights is represented with variable x.

Men's shoe sizes is represented with variable y,

The data recorded in the table as,

(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).

Rearrange the data as,

(60, 8.5), (62, 8.5), (63, 9.5), (65, 10), (66, 12), (68, 11.5), (69, 12.5), (70, 11.5), (72, 12. 5).

Kardal used the line of best fit to predict that a man 80 inches tall would wear about a size 16 shoe.

This prediction of the Kardal is based on the scatter plot obtained with the above values.

The plotted graph for the given data gives the equation of line as,

$y=0.377x-14.213$

The value of R is 0.7784, which is reasonable value. Therefore, the prediction is reasonable.

With the above line of equation, we can find the value of shoe size with the value of Men's height. Therefore even no data is given in the scatter plot for a height of 80 inches, but a shoe size can still be predicted.

Hence,

• a) The prediction is reasonable.
• b) No data is given in the scatter plot for a height of 80 inches, but a shoe size can still be predicted.

Learn more about the scatter plot here;

https://brainly.com/question/6592115

Answer 2

Answer:

A.) The prediction is reasonable.
C.) No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted.

Step-by-step explanation:

I answered this question on Edg and got it correct.