Question

Consider the following linear regression prediction equation: Y = –3 x + 144. What is the...

Consider the following linear regression prediction equation: Y = –3 x + 144. What is the direction of the relationship between these two variables?

a.

Neutral relationship
b.

Positive relationship
c.

Negative relationship
d.

No relationship
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Let us compare the given regression equation with the general format of regression equation

Linear regression is of form

Given here is Y = –3 x + 144

Comparing same we get slope value as -3, which means slope is negative

As we know slope and correlation have same sign, which means correlation is also negative

Hence from the given equation we get, there is Negative relationship between these two variables.

So correct answer here is c. Negative relationship

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the following sample data for two variables. x = 16, 6,4,2 and Y= 5,11,6,8 a....
Consider the following sample data for two variables. x = 16, 6,4,2 and Y= 5,11,6,8 a. Calculate the sample covariance Sxy=  b. Calculate the sample correlation coefficient rxy= c. Describe the relationship between x and y. Choose the correct answer below. A. There is a positive linear relationship between x and y. B. There is no linear relationship between x and y. C. There is a perfect negative linear relationship between x and y. D. There is a perfect positive linear...
1. A linear regression has the following equation: y = -9x + 2. How much would...
1. A linear regression has the following equation: y = -9x + 2. How much would y change by, if x increases by 4? Answer with a positive number if y increases, and a negative number if y decreases. 2.A linear regression has the following equation: y = -0.52x + 10, with a coefficient of determination R2 = 0.64. What is the correlation coefficient, rounded to two decimal places? 3. A linear regression has the following equation: y = -0.36x...
Consider the following sample regression equation y hat= 150 – 20x, where y is the demand...
Consider the following sample regression equation y hat= 150 – 20x, where y is the demand for Product A (in thousands) and x is the price of the product A (in $). a) What is the value of the correlation coefficient when the R-squared value for the above equation is 0.65? b) What kind of relationship is there between y and x? Describe the strength and direction. c) Estimate the demand for Product A when the price is $5? d)...
x | 12 10 9 7 8 y | 182 169 155 140 144 Find the...
x | 12 10 9 7 8 y | 182 169 155 140 144 Find the regression equation for problem 7 and find a corresponding y value when x = 11. Is this a positive linear correlation or a negative linear correlation? Explain. Regression Equation: When ? = 11, ? =_______________ Circle one: Positive correlation or Negative correlation Explain how you know whether it is a positive or negative correlation:
The regression line can never be used for prediction. True False The slope is the amount...
The regression line can never be used for prediction. True False The slope is the amount Y changes for every increase in X. True False "When you calculate a regression equation, you want the line with the most error. " True False "Correlation measures the linear relationship between two variables, while a regression analysis precisely defines this line. " True False The predicted value based on a regression equation is a perfect prediction. True False What represents the intercept (the...
Consider two variables and the least squares equation for their line y=.8565 + 0.40248 x. Regression...
Consider two variables and the least squares equation for their line y=.8565 + 0.40248 x. Regression analysis revealed the following: s = 0.517508 r = .9838 What percentage of the variation of y cannot be explained by the variation of x? A. 96.8 B. 98.38 C. 3.2 D. 1.6 2
Which of the following statements concerning the linear correlation coefficient is/are true? A: If the linear...
Which of the following statements concerning the linear correlation coefficient is/are true? A: If the linear correlation coefficient for two variables is zero, then there is no relationship between the variables. B: If the slope of the regression equation is negative, then the linear correlation coefficient is negative. C: The value of the linear correlation coefficient always lies between -1 and 1 inclusive. D: A correlation coefficient of 0.62 suggests a stronger linear relationship than a correlation coefficient of -0.82.
1) Regression: a) is a statistical technique that is not influenced by outliers. b) identifies the...
1) Regression: a) is a statistical technique that is not influenced by outliers. b) identifies the resistance of a relationship. c) measures the strength but not the direction of a relationship. d) can be used for prediction. 2) The best-fitting regression line: a) has the smallest total standard error. b) has the smallest slope. c) has the largest total squared error of prediction. d) is the line with the smallest (Y – Ŷ)2 value. If the slope (b) of the...
THE EQUATION OF THE REGRESSION LINE IS Y = a+ bX. MATCH THE FOLLOWING SYMBOLS TO...
THE EQUATION OF THE REGRESSION LINE IS Y = a+ bX. MATCH THE FOLLOWING SYMBOLS TO THE DESCRIPTION TO THE RIGHT. 1.      DENOTES THE VARIABLE PLOTTED ON THE HORIZONTAL AXIS AND CALLED THE VARIABLE.THE EXPLANTORY OR INDEPENDENT VARIABLE.. 2.      . Denotes the variable plotted on the vertical axis and is called the response OR DEPENDENT VARIABLE. 3.      THE RGRESSION RESULT = THE CHANGE IN Y FOR A CHANGE IN X +1 AND CALLED THE SLOPE 4.      THE PROPORTION OF THE VARIABILITY OF Y THAT...
Consider the following data for two variables, x and y. x 22 24 26 30 35...
Consider the following data for two variables, x and y. x 22 24 26 30 35 40 y 13 22 34 34 41 35 (a) Develop an estimated regression equation for the data of the form ŷ = b0 + b1x.  (Round b0 to one decimal place and b1 to three decimal places.) ŷ = (b) Use the results from part (a) to test for a significant relationship between x and y. Use α = 0.05 Find the value of the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT