BUSI 230 HW 4.2 The Least-Squares Regression Line Assignment solutions complete answers

BUSI 230 HW 4.2 The Least-Squares Regression Line Assignment solutions complete answers 

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Compute the least-squares regression equation for the given data set. Round the slope and -intercept to at least four decimal places.

Regression line equation: y=

 

Price of eggs and milk: The following table presents the average price in dollars for a dozen eggs  and a gallon of milk  for certain months in a recent year. Compute the least-squares regression line for predicting the price of milk from the price of eggs.

Compute the least-squares regression line for predicting the price of milk from the price of eggs. Round the slope and -intercept to at least four decimal places.

If the price of eggs differs by $0.15 from one month to the next, by how much would you expect the price of milk to differ? Round your answer to at least two decimal places.

Predict the price of milk in a month when the price of eggs is $1.18. Round the answer to two decimal places.

 

Government funding: The following table presents the budget (in millions of dollars) for selected organizations that received U.S. government funding for arts and culture in both  and .

Compute the least-squares regression line for predicting the  budget from the  budget. Round the slope and -intercept to at least four decimal places.

If two institutions have budgets that differ by 12 million dollars in , by how much would you predict their budgets to differ in ? Round the answer to three decimal places.

Predict the  budget for an organization whose  budget was 215 million dollars. Round the answer to one decimal place.

 

Foot temperatures: Foot ulcers are a common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. In a study performed at the Colorado School of Mines, skin temperatures on both feet were measured, in degrees Fahrenheit, for 8 diabetic patients. The results are presented in the following table. Use a TI-84 calculator to answer the following.

Compute the least-squares regression line for predicting the right foot temperature from the left foot temperature. Round the slope and y-intercept values to four decimal places.

Construct a scatterplot of the right foot temperature versus the left foot temperature. Graph the least-squares regression line on the same axes.

If the left foot temperatures of two patients differ by 2 degrees, by how much would you predict their right foot temperatures to differ? Round the answer to three decimal places.

Predict the right foot temperature for a patient whose left foot temperature is 82 degrees. Round the answer to one decimal place.

 

Blood pressure: A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters of mercury (), for a sample of  adults. The following table presents the results.

Compute the least-squares regression line for predicting the diastolic pressure  from the systolic pressure . Round the slope and -intercept to at least four decimal places.

Is it possible to interpret the y-intercept? Explain.

If the systolic pressures of two patients differ by 6 millimeters, by how much would you predict their diastolic pressures to differ? Round the answer to three decimal places.

Predict the diastolic pressure for a patient whose systolic pressure is 127 millimeters. Round the answer to one decimal place.