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3. 4andnbspandnbspandnbsp the height and length of the right foot of...

# Question: 4andnbspandnbspandnbsp the height and length of the right foot of...

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4.    The height and length of the right foot of 10 high school students were measured. The results were tabulated as follows:

 Height (cm) 165 153 146 138 149 172 170 159 163 157 Right Foot (cm) 26 21 20 19 22 24 25 23 22 25

a)    Using your calculator, calculate Pearson’s correlation coefficient correct to 2 decimal places.

b)    Describe the correlation between the height and length of the right foot of these students.

6.    Nidal collected data on the age ( ) and height ( ) of males aged 11 to 16 years.

He created a scatterplot of the data and constructed a line of best fit to model the relationship between the age and height of males. a)    Only one of the scatterplot points shown on the graph lies on Nidal’s line of best fit. What are the coordinates of this point?

b)    Give the coordinates of one other point on the line of best fit.

c)    Use the points from part (a) and (b) to determine the gradient of Nidal’s line of best fit.

d)    Explain the meaning of the gradient in the context of the data.

e)    Determine the equation of the line of best fit shown on the graph.

f)     Use the line of best fit to predict the height of a typical 17-year-old male.

g)    Explain why would this model not be useful for predicting the height of a typical 45-year-old male?

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