(a) What is the range that a correlation coefficient (r) can take? (b) When we calculate the 95% confidence interval using a correlation coefficient, the interval might have the value beyond the range. To prevent this issue, what statistic technique can be performed?
a) range that a correlation coefficient (r) can take is from -1 to 1 (both inclusive)
b) Yes, sometimes 95% confidence interval using a correlation coefficient, the interval might have the value beyond and that happens when the data set is not normal and shows non-normality. To overcome this type of inaccurate problem, we used techniques like converting the data to approximate normal data using non -linear transformation techniques like Logarithms
(a) What is the range that a correlation coefficient (r) can take? (b) When we calculate...
A sample of two variables of size 40 produces a correlation coefficient of r = 0.682. What is the point estimate for the population correlation coefficient, ?? Construct a 95% confidence interval for ?.
What is the correlation coefficient when the point (10.2) is excluded? r = _ (round to three decimal places as needed.) % 10.2.11 Question Help 104• Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Remove the point with coordinates (1,10) and find...
Which of the following is FALSE about Correlations: We can use the Pearson Correlation Coefficient when both variables are measured on an interval or ratio scale A correlation examines the relation between two variables The Pearson Correlation Coefficient describes the relation between two variables in terms of the strength and direction of the relationship. A correlation implies causation
Q. 34 Part A. Using the dataset below, calculate the covariance and correlation coefficient between X and Y. For ease, copy and paste the dataset onto your spreadsheet. X Y 21 35 24 27 23 31 30 38 22 36 18 40 20 37 26 28 a.) Covariance = 5.71. Correlation coefficient = -0.32 b.) Covariance = -5. Correlation coefficient = -0.32 c.) Covariance = -5.71. Correlation coefficient = -0.32 d.) None of the above Part B. Refer to the...
R CODE PROGRAM 1. Suppose we want to simulate an experiment that can take outcomes 1; : : : ; n with probabilies p1; : : : ; pn. To be specic, suppose the R-vector p=c(.1,.2,.3,.35, .02, .03) gives the desired probabilities. Write R code that produces a number from 1 to 6 with the given probabilities, without using if statements. I recommend using the R command cumsum to do this, though there many possible approaches. 2. Suppose we are...
SPSS: Correlation Use SPSS or Excel to calculate the appropriate correlation coefficient for the following data for “Hours of Exercise” and “Life Satisfaction.” (0 = Not at all satisfied). Provide an APA-style results section write – up. (b) Graph the relationship. HINT: Below you will find instructions for the APA-style write-up. Complete the write-up on a word document and upload the file for submission. Hours of Exercise Life Satisfaction 2 6 0 2 5 13 6 15 1 3 2...
What is the critical value for the linear correlation coefficient, r, for a sample of size n = 15 with α = .01 ? (Round to the nearest thousandth. The linear correlation coefficient for a set of paired variables is r = .897. What proportion of the variation in y can be explained by the linear relationship between x and y? (Type the percentage rounded to the nearest hundredth without the % sign. The linear regression equation for a set...
Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression line? About the unexplained variation? r=-0.587
We know that a researcher calculated a correlation coefficient for the association between smoking and lung cancer rate is 0.737 using the data in Table 1. In addition, the researcher have estimated x ̅ = 603.64, y ̅ = 20.55, s_x= 378.451, s_y= 11.725, and r = 0.737. a. Calculate the slope coefficient b for y ̂ = a + bx. Round the answer to the nearest 10,000th b= b. Calculate the intercept coefficient a for y ̂ = a...
Consider the following table of paired data. a. Calculate the correlation coefficient r. b. Use your answer from a, to determine if there is a linear correlation at a significance level of 0.05.