For the correlation matrix in Problem 31 in Chapter 10, find the proportion of variance in the weekly grocery bill (Y) determined by family size (X) alone, by income (Z) alone, and by family size and income together Data From Problem 31 Chapter 10 The following is a correlation matrix among family size (X), weekly grocery bill (Y), and income (Z) for a random sample of 50 families a Which of the correlations are significant at the 05 level b Calculate the partial correlation between family size and grocery bill, holding income constant, and then determine if this partial correlation is significant Discuss the difference between the simple correlation r XY and the partial correlation r XY Z X Y Z X 1 00 60 20 Y 60 1 00 30 Z 20 30 1 00

Question: For the correlation matrix in Problem 31 in Chapter 10, find the proportion of variance in the weekly grocery bill (Y) determined by family size

For the correlation matrix in Problem 31 in Chapter 10, find the proportion of variance in the weekly grocery bill (Y) determined by family size (X) alone, by income (Z) alone, and by family size and income together.

Data From Problem 31 Chapter 10

The following is a correlation matrix among family size (X), weekly grocery bill (Y), and income (Z) for a random sample of 50 families.

X Y Z X 1.00 .60 .20 Y .60 1.00 .30 Z

a. Which of the correlations are significant at the .05 level?
b. Calculate the partial correlation between family size and grocery bill, holding income constant, and then determine if this partial correlation is significant.
Discuss the difference between the simple correlation r_XY and the partial correlation r_XY.Z.

X Y Z X 1.00 .60 .20 Y .60 1.00 .30 Z .20 .30 1.00

Step by Step Solution

★★★★★

3.44 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Thorough answer and explanation a All of the correlations are significant at the 05 level as all of ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Elementary Statistics In Social Research Questions!

Complete Problem 31 of Chapter 10 (shown below), and submit your work to your instructor. Show your calculations and the algebraic manipulation of the price equation for the bond. In addition to...

The following correlation matrix shows the pairwise correlations among three variables: two explanatory variables X1 and X2 and the response denoted by Y. For example, corr(Y, X2) = 0.2359. (a) Why...

The following correlation matrix shows the pairwise correlations among three variables. The variables are the expert ratings assigned to wines by well-known connoisseurs (from 0 to 100), the year of...

Location Income ($1000) Size Years Credit Balance($) Urban 54 3 12 4016 Rural 30 2 12 3159 Suburban 32 4 17 5100 Suburban 50 5 14 4742 Rural 31 2 4 1864 Urban 55 2 9 4070 Rural 37 1 20 2731 Urban 40...

Excel Chapter 14 Saved Help Save & Exit Submit 2. Many regions in North and South Carolina and Georgia have experienced rapid population growth over the last 10 years. It is expected that the growth...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

Please help It must be answered in Excel, but if you cant, no worries, I have examples at the bottom Besides studying time, intelligence itself may be related to test performance. Suppose then that...

2012 Annual Report Our \"bottom line\" ultimately depends on our ability to satisfy all of our stakeholders. Our goal is to balance the needs and desires of our customers, team members, shareholders,...

Team X1 League Opened Seating Capacity Salary 2012 X2 X3 X4 Attendance BA ERA HR Errors SB X6 X5 Wins X7 X8 X9 X10 X11 X12 Arizona Diamondbacks Atlanta Braves Baltimore Orioles Boston Red Sox Chicago...

Create an FSM that counts coins. Accept as inputs dimes (d) and quarters (q) only. Accept only one coin at a time (so d and q may be 0 at the same time but cannot be 1 at the same time). Count up to...

A magnetic needle free to rotate in a fixed vertical plane stays in a direction making an angle of 60 with the horizontal. If the dip at that place is 37, find the angle of the fixed vertical plane...

7. LO.1 Create a fact pattern that illustrates each of the following tax situations. Be specific. a. A simple trust. b. A complex trust with a $300 personal exemption. c. A complex trust with a $100...

The strongest support for hereditys influence on intelligence is the finding that a. identical twins, but not other siblings, have nearly identical intelligence test scores. b. the correlation...

Right-tailed test, = 0.025 Find the critical value(s) and rejection region(s) for the type of z-test with level of significance . Include a graph with your answer.

Two-tailed test, = 0.03 Find the critical value(s) and rejection region(s) for the type of z-test with level of significance . Include a graph with your answer.

Indigo Company reports pretax financial income of $73,700 for 2020 . The following items cause taxable income to be different than pretax financial income. 1. Depreciation on the tax return is...

The pure expectations theory, or the expectations hypothesis, asserts that long-term interest rates can be used to estimate future short-term interest rates. Based on the pure expectations theory, is...

Investment Timing Option: Option Analysis Kim Hotels is interested in developing a new hotel in Seoul. The company estimates that the hotel would require an initial investment of $20 million. Kim...