correlation coefficient close to zero is a strong indicator of a positive linear relationship between two variables
Q: Two variable are found to have a strong positive linear correlation. Pick the regression equation…
A: Four regression equations are given as follows:
Q: A positive correlation coefficient means that there is a relationship between two variables. O Zero…
A: Correlation - Is a mathematical measurement of degree of association between two variables. Positive…
Q: What are the possible values of the linear correlation coefficient?
A: The correlation coefficient measures the linear relationship between two quantitative variables.
Q: A Pearson's r correlation coefficient is used to assess the relationship between two variables when…
A: The correct option is A Continuous ; continuous
Q: A football coach is looking for a way to identify players that are "under weight". The coach decides…
A: The regression equation is y=-56+3.6x.
Q: To estimate the value of a dependent variable based on the values of one or more independent…
A: Solution-: To estimate the value of a dependent variable based on the value of one or more…
Q: The least-squares regression equation is y=784.6x+12,431 where y is the median income and x is the…
A: Solution: The least square estimated regression equation is y^= 784.6x+12431 Where y is the median…
Q: A study was conducted to determine if there was a relationship between the prices a non-member of a…
A: Price X Price Y X2 Y2 XY 58 32 3364 1024 1856 42 22 1764 484 924 46 20 2116 400 920 32 16…
Q: A fairly high correlation should exist between the two variables?
A: Consider that X and Y are two random variables. While Corr (x, y) is defined as the correlation…
Q: An analyst calculated the correlation coefficient between the unemployment rate in the United States…
A: Strength of Correlation coefficient is If r<0.5 weak correlation If r>0.5 strong correlation…
Q: If the correlation coefficient obtained from data pairs of variables X and Y is -0.74 the strength…
A: Correlation between two variables measure the strength and direction between two variables. It…
Q: In a simple linear regression model, the correlation coefficient between x and y is 0.8. What can…
A: The question is about correlation Given : Value of correlation coefficient ( r ) = 0.8 To find :…
Q: The coefficient of determination of a set of data points is 0.87 and the slope of the regression…
A: Given: Coefficient of determination (R square)= 0.87 Slope of regression line = -2.86
Q: Show that the coefficient of determination is indeed equal to the square of the linear correlation…
A:
Q: True or false: If the correlation coefficient between two variables is 0, then there is no linear…
A: When there is no linear association between the two variable, then the correlation coefficient…
Q: A researcher wants to predict the maximum distance at which a sign is legible for a 55 year old.…
A: The correlaetion coefficient is -0.793We know that correlation coefficient used for measure…
Q: correlation
A: It is asked to find which implies a stronger linear relationship a correlation of +0.4 or a…
Q: How do you determine if a strong positive or negative correlation exists between two variables using…
A: Correlation is a measure that indicates the strength and direction of association between two…
Q: The linear correlation coefficient is also known by another name. What is it?
A:
Q: negative linear correlation, the slope of the least-squares line is negative
A: The general form of the regression line is: Y^=a+bXY Where Y^ is the predicted value, 'a' is the…
Q: A football coach is looking for a way to identify players that are "under weight". The coach decides…
A:
Q: The coefficient of determination of a set of data points is 0.842 and the slope of the regression…
A: Introduction: In this case, the coefficient of determination is 0.842, and the slope of the…
Q: Because a partial correlation considers the influence of a third variable, it is possible to have a…
A: From the above question Because a partial correlation considers the influence of a third variable,…
Q: In linear regression, the mean value of all residuals will be greater for a correlation of -.70 than…
A: The mean (or expected) value of all residuals will be greater for correlation of -0.70 than for a…
Q: For a linear regression, perfectly linear data would have a correlation coefficient of
A: Correlation coefficient lies between -1 and +1.
Q: a pearson correlation value (r) indicates the exact degree of accuracy in which a researcher can…
A: Pearson Correlation Coefficient r is a measure which indicates the strength of a linear association…
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…
Q: The correlation coefficient may assume any value between ?
A: The correlation coefficient between the two variables gives the linear relationship between the two.…
Q: A negative value of the correlation coefficient indicates that the variables are unrelated. O true O…
A: Negative Correlation : If the change in the value of one variable results in the change of value…
Q: The Linear correlation coefficient r is the slope of the line. False True
A: statement : The Linear correlation coefficient r is the slope of the line. we have to identify the…
Q: A correlation of -0.40 indicates a weaker linear relationship than a correlation of 0.38.
A: Correlation indicates the strength of the association.
Q: True or False The correlation coefficient is a measure of thestrength of a linear relation between…
A: The correlation coefficient is a measure of the strength of a linear relationship between two…
Q: When is the correlation coefficient zero? It is never zero. when there is no linear…
A: The objective is to find when is the correlation coefficient zero.
Q: true or false Correlations are expressed as either a positive or negative value between -1.0 and…
A: The given statement is that 'correlations are expressed as either a positive or negative value…
Q: The least-squares regression equation is y=620.6x+16,624 where y is the median income and x is the…
A: Linear Regression : Linear Regression analysis is used to measure the association or linear…
Q: Where does the spurious correlation exist?
A: In day-to-day life, we may all come across some situation where 2 factors are related. For example…
Q: If variable X remains constant as variable Y decreases, the correlation is said to be: zero negative…
A: We have to find correct answer.
Q: Suppose a positive linear correlation is found between two quantities. Does this mean that one of…
A: The positive correlation is a relationship between two variables in which both variables move in…
Q: The correlation coefficient between the yearly returns of two mutual funds is 0.20. What does that…
A: According to the provided information, the correlation coefficient between the yearly returns of two…
Q: Last years Data Management class decided to see if there was a relationship between the score (out…
A: We have given the last years data management class decided to see if there was a relationship…
Q: Show that the correlation coefficient is independent of the origin of reference and the units of…
A: We need to to prove that correlation coefficient is independent of the origin and units of…
Q: Suppose a local university researcher wants to build a linear model that predicts the freshman year…
A: Given: x = 1501.717708 y = 3.300318 Sx = 104.141305 Sy = 0.451901 r = 0.503202 Formula Used: Slope b…
Q: When calculating a correlation coefficient between two continuous variables, the scales on which the…
A: Correlation: By correlation we mean the association or interdependence between two variables. If two…
A
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- State whether the slope of a simple linear regression line is statistically significant, then the correlation will also always be significant?Can you help me out by showing me an example of a weak positive correlation scatter plot? with a relistic example that shows the two variables that demonstrate this pattern?A botanist found a correlation between the length of an aspen leaf and its surface area to be 0.94. Why does thecorrelation value of 0.94 not necessarily indicate that a linear model is the most appropriate model for therelationship between length of an aspen leaf and its surface area? (A) The value must be exactly 1 or to indicate a linear model is the most appropriate model. (B) The value must be 0 to indicate a linear model is the most appropriate model. (C) A causal relationship should be established first before determining the most appropriate model. (D) The value of 0.94 implies that only 88% of the data have a linear relationship. (E) Even with a correlation value of 0.94, it is possible that the relationship could still be better represented by a nonlinear model.
- After a first-order model was fitted to the data, the coefficient of correlation between the usage in hours per week (x) of a particular brand of computer and the maintenance cost of the computer (y) is calculated as 0.84. Interpret the value of the coefficient of determination.When two variables have a perfect linear relationship, the correlation coefficient is always 1. True FalseTRUE OR FALSE. a. tau provides a better value of rank correlation as it is more related to rho b. non-parametric tests should always be prioritized no matter the type of variable in research
- A history instructor has given the same pretest and the same final examination each semester. he is interested in determining if there is a relationship between the scores of the two tests. he computes the linear correlation coefficient and notes that it is 1.15. what does the correlation coefficient value tells the instructor? a. there is a strong positive correlation between the test b. there is a strong negative correlation between the test c. the history instructor has made a computational error d. the correlation is something other than linearThe table below gives the age and bone density for 5 women. Use the equation of the regression line, y= b0 + b1x, for predicting a women's bone density based on her age. The correlation coefficient may or may not be statically significant for the data given. Remember it wouldn't be appropiate to use regression line to make a prediction if the correlation coefficient isn;t statically significant. (y has a "hat" on the top) age 39 51 54 56 67 bone density 355 349 347 315 313 Find the estimated slope. Rund your answer to three decimal places. Find the estimated y-intercept. Round your answer to three decimal places. Determine the value of the dependent variable y at x+ 0 (y has a "hat" onthe top) Find the estimated value of y when x = 51. Round your answer to three decimal places. Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the valueof the…Determine if correlation between the two given variables is likely to be positive or negative, or if they are not likely to display a linear relationship. Your daily calorie intake and weight. (a) Positive (b) Negative (c) No correlation
- Determine of whether strong correlation exisits as well as whether it is positive or negativeData was gathered on the amount of rainfall X (in inches) for the last 5 years to analyze if the amount of rainfall X (in inches) could be used to predict the acorn output Y (in tons) for a group of oak trees. Researchers expect the the acorn output to increase linearly with the increase in rainfall amount. That is, they are specifically interested in testing if the correlation between the rainfall and the acorn output is positive (i.e.: ) . When the necessary conditions are satisfied, under the null hypothesis, test statistic for above test Group of answer choices follows a t distribution with degrees of freedom (n-1) follows a chi-square distribution with degrees of freedom (n-1) follows a t distribution with degrees of freedom (n-2) follows a standard normal distribution. follows a chi-square distribution with degrees of freedom (n-2)Suppose data are collected concerning the weight of a person in pounds and the number of calories burned in 30 minutes of walking on a treadmill at 3.5 miles per hour. How would the value of the correlation coefficient, r, change if all of the weights were converted to kilograms?