From a regression equation r2= 0.39 and the slope = -2.8 What is the linear correlation coefficient r?
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A: The formula to calculate slope of line is as follows : b1 = r×sysx
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Q: two regression coefficients bxy = 0.72 and ind the correlation coefficient (r) ? ound to 3 decimals.
A: From the given data, The regression coefficients are:- bxy = 0.72 and byx = 0.55
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A: Given : r² = 0.71 slope = 3.5
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A: The following information has been provided: The coefficient of determination is R2=0.784. The slope…
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A: Solution
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A: To test for auto correlation in the errors in a regression model, we use Breusch-Godfrey test.
Q: regression analysis was performed to determine if there is a relationship between hours of TV…
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A: Formula for predicted response value (Y) Y= bX + a Where X is explanatory variable
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A: Given r=0.60, Sx=1.5, Sy=2, X=10, Y=20
Q: If two regression coefficients bxy = 0.85 and byx = 0.52 Find the correlation coefficient (r) ?…
A: Answer: From the given data, If two regression coefficients are, bxy = 0.85 byx = 0.52
Q: regression was run to determine if there is a relationship between hours of study per week (x) and…
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Q: For a linear regression, r2 = 0.28. What kind of correlation exists between the variables? Very…
A: We have given that r2 = 0.28 => r = 0.53 Following are the range in which correlation…
Q: A football coach is looking for a way to identify players that are "under weight". The coach decides…
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A: To answer this question we have to know 1.What is correlation 2.Types of correlation and…
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A: Introduction: In this case, the coefficient of determination is 0.842, and the slope of the…
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A: The regression line Y on X is as follows. y=a+bx b is the slope of the regression line. a is the…
Q: A football coach is looking for a way to identify players that are "under weight". The coach decides…
A: Answer is 155 pounds
Q: A regression analysis was performed to determine if there is a relationship between hours of TV…
A: Given that the regression equation is, y=ax+b b=31.768 a=-1.128 Therefore, y=-1.128x+31.768
Q: A football coach is looking for a way to identify players that are "under weight". The coach decides…
A: 198.24 pounds Here we are interested in finding lower confidence bound for x=67 y= -58+4(67) y= 210…
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Q: Cou run a regression analysis on a bivariate set of data (n = obtain the regression equation 39).…
A: Predicted response = 343.327 On average predicted value = 343.327/39 =8.803
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Q: A regression was run to determine if there is a relationship between hours of study per week (x) and…
A: The regression equation given by the result is as follows: y=ax+by=6.365x+21.52wherey is the…
Q: A regression was run to determine if there is a relationship between hours of study per week (x) and…
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Q: Determine the regression equation in three different ways (using raw data, deviation data and…
A: Let y = a+bx be the regression equation Y is the dependent variable and x is the independent…
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- The slope of a regression line=-6.879 How do you interpret the slope? Is it significant?Data were obtained about women belonging to a gym. The women had an average height of 67 inches with an SD of 3 inches, and they had an average weight of 160 pounds, with an SD of 15 pounds. The correlation between height and weight was r=0.45. A scatterplot was made of the data with height on the horizontal axis and weight on the vertical axis; it was football shaped. 2. (a) Using the regression line, a woman who is 6 feet tall is predicted to weigh pounds. (b) The typical size of the errors for predictions made using the regression line is pounds. (c) What percent of all the women weigh more than 180 pounds? (d) What percent of women that are 6 feet tall weigh more than 180 pounds?A team from UNHABITAT took a random sample of 230 households in a city to better understand how the size of a house (measured in metres) is related to the number of people living in that house. They performed a regression analysis on the data and found that regression model had an R² = 18.3%. What is the correlation between the size of a house and the number of people living in that house? 0.667 0.183 0.033 0.904 0.428
- The linear regression equation for predicting systolic blood pressure from age is as follows: y = 42 + 2.5x . Find the residual for a person who is 21 years of age with a systolic blood pressure of 91.9.When the heights (in inches) and shoe lengths (also in inches) were measured for a large random sample of individuals, it was found that r = 0.89, and a regression equation was constructed in order to further explore the relationship between shoe length and height, with height being the response variable. From this information, what can we conclude? The correlation coefficient should have no units. The regression equation relating shoe length to height must have a slope equal to 0.89. The regression equation relating shoe length to height must have a positive intercept. O Approximately 89% of the variability in height can be explained by the regression equation. Because the value of r is less than 1, we should characterize this relationship as being weak.Calculate the equation of the regression line and calculate the correlation coefficient
- Suppose that you run a correlation and find the correlation coefficient is -0.281 and the regression equation is y = 27.68 2.2x. The mean for the data values was 4.9, and the mean for the Y data values was 17. AT Test for the slope of the regression line is performed, and the p-value is greater than the level of significance of 0.05. Use the appropriate method to predict the y value when x is 2.3.The correlation between X and Y is -.27, and the regression equation is Ŷ = - 0.49X + 9.27 before the data are standardised. A: What is the correlation after the data are standardised? B: What would be the standardised regression equation? A: .27, B: ?̂y = .27?x A: -.49, B: ?̂y = - .49?x + 9.27 A: -.27, B: ?̂y = - .27?x A: -.49, B: ?̂y = - .49?xWhat is the value of r2? Use the square root and your knowledge about the slope of the regression line to find the value of the correlation constant r. Based only on the value of r, do you think this line is useful for predicting life expectancy from the infant mortality rate? A new country called Arendelle has formed and has an infant mortality rate of 42 (deaths per 1000 live births). Use the equation of the regression line to predict the life expectancy for Arendelle. Round your answer to one decimal place. Another new country called Weselton has formed and has an infant mortality rate of 250 (deaths per 1000 live births). Recall some of the cautions we should take when considering correlation. In one or two complete sentences, explain why using the linear regression equation to make a life expectancy prediction is not a good idea for Weselton. If you had to choose exactly one potential influential outlier from the original data set, what would it be? Identify the point as an…
- True or false? If the statement is false, use one or two sentences to justify your answer.For 40 eruptions of the Old Faithful geyser in Yellowstone National Park, duration times (sec) were recorded along with the heights (ft) of the eruptions. The linear correlation coefficient is r = 0.0915 and the regression equation is = 119 + 0.0331x, where x represents duration time. The mean of the 40 duration times is 245.0 sec and the mean of the 40 heights is 127.2 ft. What is the best predicted height of an eruption with a duration time of 120 min?The equation used to predict college GPA (range 0-4.0) is y = 0.17 +0.51x, +0.002x,, where x, is high school GPA (range 0-4.0) and x, is college board score (range 200-800). Use the multiple regression equation to predict college GPA for a high school GPA of 3.8 and a college board score of 500. The predicted college GPA for a high school GPA of 3.8 and a college board score of 500 is (Round to the nearest tenth as needed.)
