If the corelation between x and y is r = 0.82, which one of the following...
If the corelation between x and y is r = 0.82, which one of the following statements is true?
- The y-intercept of the least-square regression line is the point (0, 0.82).
- Low values of x are associated with high values of y.
- High values of x are associated with high values of y.
- The slope of the least-square regression line is m = b1 = 0.82.
Homework Answers
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If the corelation between x and y is
r = 0.82, which one of the following...
Compute the least-squares regression line for predicting y from x given the following summary statistics, Round...
Compute the least-squares regression line for predicting y from x given the following summary statistics, Round the slope and y- intercept to at least four decimal places. I=8.8 5,- 2.2 y = 102 y-101 =-0.82 Send data ol Regression line equation: -
Explain why could or couldn't agree with each of the statements a) Cov(y,x) and Cor(y,x) can...
Explain why could or couldn't agree with each of the statements
a) Cov(y,x) and Cor(y,x) can take value between -infinity and
+infinity
b)If Cov(y,x)=0 or Cor(y,x)=0 one can conclude that there is no
relationship between Y and X
c)the least square line fitted to the points in the scatter plot
of y versus
has a zero intercept and a unit slope
Consider the following example of a simple linear regression in R. x = c(-1,0,1) y =...
Consider the following example of a simple linear regression in R. x = c(-1,0,1) y = c(0,4,2) lm(y"x) ## Call: ## lm(formula = y ~ x) ## Coefficients: # (Intercept) 2 Please write down the design matrix X and compute the values of the slope in the R output (make sure you show the details). Please interpret both intercept and slope in the simple linear regression
Which of the following statements regarding regression and correlation are true? (There may be more than...
Which of the following statements regarding regression and correlation are true? (There may be more than one correct answer.) a. A value of the linear correlation, r, near -1 means the data is tightly bundled around a line, and predictions within the scope of data are very reliable. b. When the slope of a linear regression equation is near 0, then the linear correlation between the two variables must also be near 0. c. The average error between the actual...
For the regression line y = -3.24x + 7.51 which of the following are true? There...
For the regression line y = -3.24x + 7.51 which of the following are true? There may be more than one answer. a. The regression line is rising from left to right. b. The y-intercept of the line is negative. c. The dots on the scatterplot are probably rising from left to right. d. The dots on the scatterplot are probably falling from left to right. e. The regression line is falling from left to right. f. The y-intercept of...
Question 14 The regression line equation between two variables is given as: y -2.03 x 19.8...
Question 14 The regression line equation between two variables is given as: y -2.03 x 19.8 The slope of the regression line is The y-intercept of the regression line is The value of y whenx = 3 is |
Question 14 The regression line equation between two variables is given as: y -2.03 x 19.8 The slope of the regression line is The y-intercept of the regression line is The value of y whenx = 3 is |
Which of the following statements regarding regression and correlation are true? (There may be more than...
Which of the following statements regarding regression and correlation are true? (There may be more than one correct answer.) a. If the linear correlation between two variables is 0, then there is no relationship between the two variables. b. When the slope of a linear regression equation is near 0, then the linear correlation between the two variables must also be near 0. c. The average error between the actual values and the predicted values of a least squares line...
Which of the following statements about the correlation, r, between Y and X is NOT true?...
Which of the following statements about the correlation, r, between Y and X is NOT true? A. r measures the strength of the linear association between Y and X. B. r does not provide any information about the strength of non-linear relationships. C. r = 0 means there is no relationship between Y and X. D. Calculating r is not appropriate if the distributions of Y and X are skewed with outliers.
Complete parts (a) through (h) for the data below. x- 40, 50, 60, 70, 80 y-62,...
Complete parts (a) through (h) for the data below. x- 40, 50, 60, 70, 80 y-62, 58, 55, 47, 33 B) Find the equation of the line containing the points (50, 58) and (80, 33) y=__x+(__) D) By hand, determine the least-squares regression line The equation of the least-squares regression line is given by ModifyingAbove y with caret equals b 1 x plus b 0y=b1x+b0 where b1 equals r times StartFraction s Subscript y Over s Subscript x EndFractionb1=r•sysx is...
Use the data sct below to answer the following questions a) Compute r(x, y). b) Compute...
Use the data sct below to answer the following questions a) Compute r(x, y). b) Compute the slope of the regression line c) Compute the intercept of the regression line d) Plot the residuals. Is a linear model appropriate for the data?
Compute the least-squares regression line for predicting y from x given the following summary statistics, Round the slope and y- intercept to at least four decimal places. I=8.8 5,- 2.2 y = 102 y-101 =-0.82 Send data ol Regression line equation: -
Explain why could or couldn't agree with each of the statements
a) Cov(y,x) and Cor(y,x) can take value between -infinity and
+infinity
b)If Cov(y,x)=0 or Cor(y,x)=0 one can conclude that there is no
relationship between Y and X
c)the least square line fitted to the points in the scatter plot
of y versus
has a zero intercept and a unit slope
Consider the following example of a simple linear regression in R. x = c(-1,0,1) y = c(0,4,2) lm(y"x) ## Call: ## lm(formula = y ~ x) ## Coefficients: # (Intercept) 2 Please write down the design matrix X and compute the values of the slope in the R output (make sure you show the details). Please interpret both intercept and slope in the simple linear regression
Question 14 The regression line equation between two variables is given as: y -2.03 x 19.8 The slope of the regression line is The y-intercept of the regression line is The value of y whenx = 3 is |
Question 14 The regression line equation between two variables is given as: y -2.03 x 19.8 The slope of the regression line is The y-intercept of the regression line is The value of y whenx = 3 is |
Use the data sct below to answer the following questions a) Compute r(x, y). b) Compute the slope of the regression line c) Compute the intercept of the regression line d) Plot the residuals. Is a linear model appropriate for the data?
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