Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 6: Q.33 (page 357)

Predicting posttest scores(3.2) What is the equation of the linear regression model relating posttest and pretest scores? Define any variables used.

Short Answer

Expert verified

The equation of the regression line isy^=17.897+0.78301x

Step by step solution

01

Step 1:Given Information

It is given in the question that,

02

Explanation

The general equation of the regression line is written as:

y^=a+bx

ais the Y-intercept

bis the slope coefficient

The general equation of the regression line could be expressed as follows using the information provided:

y^=a+bx

y^=17.897+0.78301x.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Life insurance A life insurance company sells a term insurance policy to a21-year-old male that pays 100,000if the insured dies within the next 5years. The probability that a randomly chosen male will die each year can be found in mortality tables. The company collects a premium of 250each year as payment for the insurance. The amount Y that the company earns on this policy is 250per year, less the 100,000that it must pay if the insured dies. Here is a partially completed table that shows information about risk of mortality and the values of Y=profit earned by the company:

(a) Copy the table onto your paper. Fill in the missing values of Y.

(b) Find the missing probability. Show your work.

(c) Calculate the mean μY. Interpret this value in context.

88. Scrabble In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100tiles. There are 42vowels, 56 consonants, and 2 blank tiles in the bag. Cait chooses her7 tiles and is surprised to discover that all of them are vowels. Can we use a binomial distribution to approximate this probability? Justify your answer

Exercises 47 and 48 refer to the following setting. Two independent random variables Xand Yhave the probability distributions, means, and standard deviations shown.

48. Difference Let the random variable D=X-Y.

(a) Find all possible values of D. Compute the probability that Dtakes each of these values. Summarize the probability distribution ofD in a table.
(b) Show that the mean of Dis equal toμX-μY.
(c) Confirm that the variance of Dis equal to σX2+σY2.Find all possible values of D. Compute the probability that takes each of these values. Summarize the probability distribution of in a table.

79. Sowing seeds Refer to Exercise 69.

(a) Find the probability that exactly17 seeds germinate. Show your work.
(b) If only 12seeds actually germinate, should Judy be suspicious that the company’s claim is not true? Compute P(X≤12)and use this result to support your answer.

Chess and reading (4.3) If the study found a statistically significant improvement in reading scores, could you conclude that playing chess causes an increase in reading skills? Justify your answer
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation
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.

Sign-up for free