A manufacturer of dish detergent believes the height of soap…

A manufacturer of dish detergent believes the height of soapsuds in the dishpan depends on the amount of detergent used. A study of the suds’ height for a new dish detergent was conducted. Seven pans of water were prepared. All pans were of the same size and type and contained the same amount of water. The temperature of the water was the same for each pan. An amount of dish detergent was assigned at random to each pan, and that amount of detergent was added to the pan. Then the water in the dishpan was agitated for a set amount of time, and the height of the resulting suds was measured. A plot of the data and the computer output from fitting a least squares regression line to the data are shown below.   Write the equation of the fitted regression line. Interpret the slope in context of the question. Interpret the correlation coefficient in the context of the question. Interpret the coefficient of determination in the context of the question. Interpret s = 2.0546 in the context of the question. Predict for 4 grams of detergent. Estimate the residual for 4 grams of detergent? Justify your answer. Please label each answer very clearly the space provided and show all work when necessary.   Copyright © 2006. The College Board. www.collegeboard.org

As a family is getting ready for a big Thanksgiving dinner,…

As a family is getting ready for a big Thanksgiving dinner, Scottie, a stats student, wonders if there is a linear relationship between how many different side dishes her family makes and the amount of dishes she has to wash after the dinner. She gathers some data from her friends’ families and calculates the following least squares regression line:  where y = the number of dishes to wash and x = the number of side dishes made. How many extra dishes should Scottie expect to wash, on average, for each additional side dish her family makes?