Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

A research interested in the study habits of college freshman computed a correlation coefficient between the average number of hours a student spends watching television

A research interested in the study habits of college freshman computed a correlation coefficient between the average number of hours a student spends watching television each day and his or her SAT verbal score. The correlation coefficient and the means and standard deviations are listed in the table below. Use this information to answer Problems 1-5.

image text in transcribedimage text in transcribed
A research interested in the study habits of college freshman computed a correlation coefficient between the average number of hours a student spends watching television each day and his or her SAT verbal score. The correlation coefficient and the means and standard deviations are listed in the table below. Use this information to answer Problems 1-5. Daily Hours Spend Watching SAT Television (X) Verbal (Y) Mean 2.7 471.5 Standard Deviation 0.125 9.433 Correlation Coefficient 0.943 1. What is the predicted daily hours spent watching television of a student who has an SAT verbal score of 600? Note: round all calculations to 3 decimal places. a. 1.913 hours. b. 3.422 hours. c. 0.581 hours. d. 1.030 hours. 2. What is the standard error of the estimate for the predicted value in #1? a. 1.450 b. 0.123 c. 0.042 d. 0.211 3. What is the predicted daily hours spent watching television of a student who has an SAT verbal score of 425? a. 3.281 b. 8.513 c. 2.444 d. 3.007 4. What is the predicted SAT verbal score of a student who spends 0.5 hours per day watching television? a. 698 b. 575 c. 515 d. 6285. What is the standard error of the estimate for the predicted value in #4? a. 10.258 b. 3.141 c. 2.006 d. 5.469 For this Lesson you will be given these formulas for the examination: Zx = Zy ' 1XY Zy = ZX ' 1XY Y' = r XY . SY . ( X - X) + Y X' = rxY . SX . ( Y - Y) + X Sx SY Sy b = COVXY X = by + a _=rxy Sy a = Y - (b . x ) SX b = COVXY Y = bX + a S'Y = 1XY Sy a = x - ( b . Y) SXY = Sx V1 - r2 Syx = Sy V1 - 72

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Practical Linear Algebra A Geometry Toolbox

Authors: Gerald Farin, Dianne Hansford

3rd Edition

1466579587, 9781466579583

More Books

Students also viewed these Mathematics questions

Question

1. To generate a discussion on the concept of roles

Answered: 1 week ago