Question: A scatterplot contains four points: (2,2), (1,1), (0,0), and (1,1). A fifth point, (2,y), is to be added to the plot. Let r represent the

A scatterplot contains four points: (−2,−2), (−1,−1), (0,0), and (1,1). A fifth point, (2,y), is to be added to the plot. Let r represent the correlation between x and y.

a. Find the value of y so that r = 1.

b. Find the value of y so that r = 0.

c. Find the value of y so that r = 0.5.

d. Find the value of y so that r = −0.5.

e. Give a geometric argument to show that there is no value of y for which r = −1.

Step by Step Solution

★★★★★

3.46 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Now For any given value of r substitute r into 12r 2 y222r 2 y1r 2 0 and solve for ... 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 Statistics Engineers Scientists Questions!

1. If net revenue at a firm is about 10% of gross sales, then a scatterplot of net revenue versus gross sales would show a nonlinear pattern rather than a line. 2. If two variables are linearly...

Consumer Reports Health (www. consumerreports. org) gave the following data on saturated fat ( in grams), sodium ( in mg), and calories for 36 fast- food items. a. Construct a scatterplot using y 5...

Have you ever played the game Scrabble o ? It is a word building game where certain letters earn you more points than others when you use them in your word. Here is the table of letters and the...

Dong Lee Math-138 Professor Deshpande 10-16-16 Project Part 2 Research Proposal: Introduction: The first variables I plan to study are the hours you spend on the smartphone daily and the monthly...

Project Part II: Data and Descriptive Statistics In this section you will expand your project to include your actual data set, descriptive statistics for your quantitative variables, linear...

Prescott College General Biology Grades EXAM 1 EXAM 2 73 93 89 96 73 53 69 47 87 79 69 70 93 79 70 93 78 81 88 78 82 86 78 76 96 EXAM 3 80 88 91 98 66 46 74 56 79 70 70 65 95 80 73 89 75 90 92 83 86...

2.7. Explicit Solutions to Dierential Equations 109 power (kw) 20 15 10 5 0 08:00 10:00 12:00 14:00 16:00 time 18:00 2.7 Explicit Solutions to Dierential Equations In the very rare case in which an...

ML in a nutshell Optimization, and machine learning, are intimately connected. At a very coarse level, ML works as follows. First, you come up somehow with a very complicated model y = M(x, 0), which...

1. Match these values of r with the accompanying scatterplots: 0.372, 1, - 1, - 0.372, and -0.718. Click the icon to view the scatterplots. Match the values of r to the scatterplots. Scatterplot 1,...

Abner Corporations bonds mature in 15 years and pay 9 percent interest annually. If you purchase the bonds for $1,250, what is your yield to maturity?

A fuel gas containing 95 mole% methane and the balance ethane is burned completely with 25% excess air. The stack gas leaves the furnace at 900C and is cooled to 450C in a waste heat boiler, a heat...

Question 9 The was the first fully electronic, general - purpose, programmable computer. EDVAC EDSAC ENIAC Mark I

c. Suppose project overhead costs accrued at a fixed rate of $500 per week. Chart the decline in direct costs over the project life relative to the increase in overhead expenses.

Refer to Exercise 1.a. Find a 95% confidence interval for the coefficient of Manganese.b. Find a 99% confidence interval for the coefficient of Thickness.c. Can you conclude that 1 > 3? Perform the...

The article Experimental Design Approach for the Optimization of the Separation of Enantiomers in Preparative Liquid Chromatography (S. Lai and Z. Lin, Separation Science and Technology, 2002:...

Assume Gillette Corporation will pay an annual dividend of $0.64 one year from now. Analysts expect this dividend to grow at 12.1\% per year thereafter until the 5 th year. Thereafter, growth will...

After about 10 months of saving $500 a month, Mary has achieved her goal of saving $ 5,000 that she will use as a down payment on a new car. Marys new car is priced at $25,000 plus 8.75% sales tax....

FaceBook will deposit $130 every week to your retirement account. You plan to retire 30 years from now. The interest you can earn in this investment is 12 percent. How much is this investment worth...