Question

The assumptions we use to determine the validity of predictions include:

For every specific value of y, the value of x must be normally distributed about the regression line.

The sample was collected carefully

The standard deviation of each dependent variable must be the same for each independent variable

All of the above

Because some people are unable to stand to have their height measured, doctors use the height from the floor to the knee to approximate their patients’ height (in cm).

Height of Knee	Overall Height
57	192
47	153
43	146
44	160
55	171
54	176

a. Use Excel to determine the correlation coefficient of this data

b. Use Excel to determine the regression equation of this data

c. Find the overall height from a knee height of 45.3 cm

d. Find the overall height from a knee height of 52.7 cm

Choose one • 20 points

a. r = 0.73220213

b. Equation: y = 2.0217x + 67.746

c. 159.32901

d. 174.28959

a. r = 0.82544241

b. Equation: y = 2.5109x + 40.79

c. 154.53377

d. 173.11443

a. r = 0.53611996

b. Equation: y = 2.0217x + 67.746

c. 159.32901

d. 174.28959

a. r = 0.908553861

b. Equation: y = 2.5109x + 40.79

c. 154.53377

d. 173.11443

Answer 1

Interpretation:

The correlation coefficient of the Height of Knee (X) and Overall height (Y) is . The correlation coefficient indicates that there exists a strong positive linear relationship between the two quantitative variables Height of Knee (X) and Overall height (Y).

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