/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q.41 Acid rain Refer to Exercise 39. ... [FREE SOLUTION] | 91影视

91影视

Acid rain Refer to Exercise 39. Would it be appropriate to use the regression line to predict pH after1000 months? Justify your answer.

Short Answer

Expert verified

pHvalue after 1000months is an extrapolation of the relationship.

Step by step solution

01

Step 1; Given Information

It is given in the question 39that, the regression line pH=5.43-0.0053(weeks) 铿乼 the data well.

Would it be appropriate to use the regression line to predict pH after 1000months?

02

Explanation

It is often not possible to make exact predictions when using an extrapolation line, which is used far outside the interval of values of the explanatory variable X. In this case, the regression line should be:

pH=5.430.0053(weeks)

The data for our analysis show that the researcher measured acid rain for 150consecutive weeks, so the Xvariable (weeks) for 1000months is significantly out of the set.

At such extreme values, it is impossible to say whether increases of this magnitude ever occur.

Calculating pH after 1,000 months is an extrapolation beyond what the data indicate.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Dem bones Archaeopteryx is an extinct beast having feathers like a bird but teeth and a long bony tail like a reptile. Only six fossil specimens are known. Because these specimens differ greatly in size, some scientists think they are different species rather than individuals from the same species. We will examine some data. If the specimens belong to the same species and differ in size because some are younger than others, there should be a positive linear relationship between the lengths of a pair of bones from all individuals. An outlier from this relationship would suggest a different species. Here are data on the lengths in centimeters of the femur (a leg bone) and the humerus (a bone in the upper arm) for the five specimens that preserve both bones:8

(a) How would rchange if the bones had been measured in millimeters instead of centimeters? (There are 10millimeters in a centimeter.)

(b) If the x and y variables are reversed, how would the correlation change? Explain.

Predicting tropical storms William Gray heads the Tropical Meteorology Project at Colorado State

University. His forecasts before each year鈥檚 hurricane 2008season attract lots of attention. Here are data on the number of named Atlantic tropical storms predicted by Dr. Gray and the actual number of storms for the years 1984 to 2008:

Analyze these data. How accurate are Dr. Gray鈥檚 forecasts? How many tropical storms would you expect in a year when his preseason forecast calls for 16 storms? What is the effect of the disastrous 2005 season on your answers? Follow the four-step process.

What鈥檚 my grade? In Professor Friedman鈥檚 economics course, the correlation between the students鈥 total scores prior to the final examination and their final-examination scores is r=0.6The pre-exam totals for all students in the course have mean 280and standard deviation 30The

final-exam scores have mean 75and standard deviation 8Professor Friedman has lost Julie鈥檚 final exam but knows that her total before the exam was 300He decides to predict her final-exam score from her pre-exam total.

(a) Find the equation for the appropriate least-squares regression line for Professor Friedman鈥檚 prediction. Interpret the slope of this line in context.

(b) Use the regression line to predict Julie鈥檚 final exam score.

(c) Julie doesn鈥檛 think this method accurately predicts how well she did on the final exam. Determine r2 Use this result to argue that her actual score could have been much higher (or much lower) than the predicted value.

The National Student Loan Survey provides data on the amount of debt for recent college graduates, their current income, and how stressed they feel about college debt. A sociologist looks at the data with the goal of using the amount of debt and income to explain the stress caused by college debt.

Managing diabetes People with diabetes measure their fasting plasma glucose (FPG; measured in units of milligrams per milliliter) after fasting for at least 8 hours. Another measurement, made at regular medical checkups, is called HbA. This is roughly the percent of red blood cells that have a glucose

molecule attached. It measures average exposure to glucose over a period of several months. The table below gives data on both HbA and FPG for 18 diabetics five months after they had completed a diabetes education class.

(a) Make a scatterplot with HbA as the explanatory variable. There is a positive linear relationship, but it is surprisingly weak.

(b) Subject 15 is an outlier in the y-direction. Subject 18 is an outlier in the x-direction. Find the correlation for all 18 subjects, for all except Subject 15 and

for all except Subject 18 Are either or both of these subjects influential for the correlation? Explain in simple language why r changes in opposite directions when we remove each of these points.

(c) Add three regression lines for predicting FPG from HbA to your scatterplot: for all 18 subjects, for all except Subject 15 and for all except Subject 18

Is either Subject 15 or Subject 18 strongly influential for the least-squares line? Explain in simple language what features of the scatterplot explain the degree of influence.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.