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4. A family doctor is...

4. A family doctor is interested in examining the relationship between a patient’s age and t

total cholesterol. He randomly selects 14 of his female patients and obtains the data

presented in the scatter plot below:

Simple Linear Regression

Simple linear regression results:

Dependent Variable: Total Cholesterol

Independent Variable: Age

Total Cholesterol = 151.35365 + 1.3990642 Age

Sample size: 14

R (correlation coefficient) = 0.7178

R-sq = 0.5152521

Parameter estimates:

Parameter Estimate

Intercept 151.35365

Slope 1.3990642

a. Looking at the following scatterplot of the data, what does it tell you about the

relationship between Age and Total Cholesterol Level? That as increases so does the level of cholesterol

b. Find the equation of the least squares line of regression for this data.

c. What does the correlation coefficient tell you about the relationship

between the patient’s Age and their Total Cholesterol Level?

d. If a patient is 35, predict their Total Cholesterol Level.

e. Are you confident that predictions based on the equation of the

least squares line of regression will be quite accurate? Why or

why not?

f. What percentage of the variation in the Total Cholesterol Level can be explained by the regression on the patient’s Age?

total cholesterol. He randomly selects 14 of his female patients and obtains the data

presented in the scatter plot below:

Simple Linear Regression

Simple linear regression results:

Dependent Variable: Total Cholesterol

Independent Variable: Age

Total Cholesterol = 151.35365 + 1.3990642 Age

Sample size: 14

R (correlation coefficient) = 0.7178

R-sq = 0.5152521

Parameter estimates:

Parameter Estimate

Intercept 151.35365

Slope 1.3990642

a. Looking at the following scatterplot of the data, what does it tell you about the

relationship between Age and Total Cholesterol Level? That as increases so does the level of cholesterol

b. Find the equation of the least squares line of regression for this data.

c. What does the correlation coefficient tell you about the relationship

between the patient’s Age and their Total Cholesterol Level?

d. If a patient is 35, predict their Total Cholesterol Level.

e. Are you confident that predictions based on the equation of the

least squares line of regression will be quite accurate? Why or

why not?

f. What percentage of the variation in the Total Cholesterol Level can be explained by the regression on the patient’s Age?

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