Question 6
A regression line can be used to
determine the strength of a relationship.
determine if there is a cause and effect relationship.
predict Y for any X value.
establish if a relationship is linear.
Question 7
If the correlation coefficient R between two variables is ,it is expected that the slope of the regression line will be
positive; positive
positive; large
negative; small
positive; negative
Question 8
If the slope of the simple regression line is .12, then the Pearson correlation coefficient r is expected to be
positive
negative
small
large
6. The correct answer is Option C. A regression line can be used to predict the value of Y from X.
7. The correct answer is Option A. If the correlation is positive, we can expect the regression slope to be positive as well.
8. The correct answer is Option A. The Pearson correlation is expected to be positive.
A regression line can be used to determine the strength of a relationship. determine if there...
2 pts. when regression line has no slope, we can still predict Y from X because the line still has a y intercept. A. True B. False 34. 2 pts. Can we infer causality between two variables solely on the basis of their correlation? A. Yes, we can infer causality. B. No, we cannot infer causality. 35. 2 pts. Which of the following is the fundamental task of regression? A. Correctly plotting all of the points on a scatter plot....
True or false?: 1) If X and Y are standardized, then fit a linear regression line of standardized Y on standardized X, correlation between X and Y equals the slope of regression line. 2) If one calculates r for a set of numbers and then adds a constant to each value of one of the variables, the correlation will change. 3) The easiest way to determine if a relationship is linear is to calculate the regression line. 4) If the...
True or false: 1) If X and Y are standardized, then fit a linear regression line of standardized Y on standardized X, correlation between X and Y equals the slope of regression line. 2) If one calculates r for a set of numbers and then adds a constant to each value of one of the variables, the correlation will change. 3) The easiest way to determine if a relationship is linear is to calculate the regression line. 4) If the...
Question 6 (10 marks) Finally, the researcher considers using regression analysis to establish a linear relationship between the two variables – hours worked per week and yearly income. a) What is the dependent variable and independent variable for this analysis? Why? (2 marks) b) Use an appropriate plot to investigate the relationship between the two variables. Display the plot. On the same plot, fit a linear trend line including the equation and the coefficient of determination R2 . (2 marks)...
9. An experiment was performed on a certain metal to determine if the strength is a function of heating time (hours). Results based on 20 metal sheets are given below. Use the simple linear regression model. ∑X = 40 ∑X2 = 200 ∑Y = 80 ∑Y2 = 1120 ∑XY = 388 Find the estimated y intercept and slope. Write the equation of the least squares regression line and explain the coefficients. Estimate Y when X is equal to 5 hours....
Simple Linear regression 1. A researcher uses a simple linear regression to measure the relationship between the monthly salary (Salary measured in dollars) of data scientists and the number of years since being awarded a Master degree (Master Degree). A random sample of 80 observations was collected for the analysis. A researcher used the econometric model which has the following specification Salary,-β0 + β, Master-Degree, + εί, where i = 1, , 80 The (incomplete) Excel output of equation (1)...
If you were to develop a linear regression equation that uses autonomy at work to predict job satisfaction, what would be the Y-Intercept (a) of the regression equation? Use the slope (b) obtained from the previous question to answer this question. Autonomy Job satisfaction (Y) n 8 8 Mean My=4 My 7 Variability SSX-28 SSY - 156 SP-56 Pearson r.85 -10 1 2 pts Question 43 Correlation' is to 'regression' as significance to non significant 'samples are to populations relationship...
Name: Instructor Date: Section 6. The regression line equation for a set of data is given by y-23x+. -10. The value of for this same data set is 10.1. Use α .05 a. If the lincar correlation coefficient for this data is -521, what is the best y -value for x 57 b. If the linear correlation coefficient for this data is r 972, what is the best predicted y-value for x=5? size n 15 with a 01 7. What...
this is concept. 2. A plant distills liquid air to produce oxygen, nitrogen, and argon. The percentage of impurity in the oxygen is thought to be linearly related to the amount of impurities in the air as measured by the pollution count" in part per million (ppm). A sample of plant operating data is shown below. Pollution count (ppm) Purity (%) 933 1145 1.59 92.4 91.7 94 1.08 Purity (%) 946 12 93.6 0.99 0.83 12 932 1.47 1.81 05...