The following data on x = score on a measure of test anxiety and y = exam score for a sample of n = 5 students are consistent with summary quantities given in a paper. Higher values for x indicate higher levels of anxiety. Compute the value of the correlation coefficient. (Give the answer to four decimal places.) r = x 22 14 13 1 16 y 43 59 48 78 51
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The following data on x = score on a measure of test anxiety and y = exam score for a sample of n = 5 students are consistent with summary quantities given in a paper. Higher values for x indicate higher levels of anxiety. Compute the value of the
r =
x | 22 | 14 | 13 | 1 | 16 |
y | 43 | 59 | 48 | 78 | 51 |
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- From the data of the following table: Calculate Spearman's rank correlation coefficient between x and y and determine its type. sThe accompanying data represent the number of days absent, x, and the final exam score, y, for a sample of college students in a general education course at a large state university. Absences and Final Exam Scores No. of absences, x 0 1 2 3 4 5 6 7 8 9 Final exam score, y 89.7 86.1 83.6 81.8 78.7 74.1 64.4 71.2 64.5 66.4 Critical Values for Correlation Coefficient n 3 0.9974 0.9505 0.8786 0.8117 0.7548 0.7079 0.66610 0.63211 0.60212 0.57613 0.55314 0.53215 0.51416 0.49717 0.48218 0.46819 0.45620 0.44421 0.43322 0.42323 0.41324 0.40425 0.39626 0.38827 0.38128 0.37429 0.36730 0.361n (a) The least-squaresregressionline treating number of absences as the explanatory variable and the final exam score as the response variable. y=negative 2.907−2.907x+89.133 (b) Interpret the slope and the…The accompanying data represent the number of days absent, x, and the final exam score, y, for a sample of college students in a general education course at a large state university. Absences and Final Exam Scores No. of absences, x 0 1 2 3 4 5 6 7 8 9 Final exam score, y 89.7 86.1 83.6 81.8 78.7 74.1 64.4 71.2 64.5 66.4 Critical Values for Correlation Coefficient n 3 0.9974 0.9505 0.8786 0.8117 0.7548 0.7079 0.66610 0.63211 0.60212 0.57613 0.55314 0.53215 0.51416 0.49717 0.48218 0.46819 0.45620 0.44421 0.43322 0.42323 0.41324 0.40425 0.39626 0.38827 0.38128 0.37429 0.36730 0.361n (a) The least-squaresregressionline treating number of absences as the explanatory variable and the final exam score as the response variable. y=negative 2.907−2.907x + 89.133 c) predict the final exam score for a student who…
- The accompanying data represent the number of days absent, x, and the final exam score, y, for a sample of college students in a general education course at a large state university. Absences and Final Exam Scores No. of absences, x 0 1 2 3 4 5 6 7 8 9 Final exam score, y 89.7 86.1 83.6 81.8 78.7 74.1 64.4 71.2 64.5 66.4 Critical Values for Correlation Coefficient n 3 0.9974 0.9505 0.8786 0.8117 0.7548 0.7079 0.66610 0.63211 0.60212 0.57613 0.55314 0.53215 0.51416 0.49717 0.48218 0.46819 0.45620 0.44421 0.43322 0.42323 0.41324 0.40425 0.39626 0.38827 0.38128 0.37429 0.36730 0.361n (a) The least-squaresregressionline treating number of absences as the explanatory variable and the final exam score as the response variable. y=negative 2.907−2.907x + 89.133 c) the final exam score for a student who kissed…Here is a bivariate data set.x8570.36366.470.2 y48.574.7-56.66253.9 Find the correlation coefficient and report it accurate to three decimal places. r =Here is a bivariate data set.xy182425915011737106295223812246 Find the correlation coefficient and report it accurate to four decimal places. r =
- Here is a bivariate data set.x y71 461 555 6148 -876 3126 7074 -62 Find the correlation coefficient and report it accurate to four decimal places.r =Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using alpha equals 0.05. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of theseals? Overhead Width 7.1 7.6 9.7 9.3 8.6 8.2 Weight 115 197 243 198 197 186For the following scores, X Y 3 4 0 1 6 6 3 1 Drag blue round points onto the following graph to sketch a scatter plot for these data. 012345671086420 Complete the following table: ∑X ∑Y ∑XY SSXX SSYY SP Compute the Pearson correlation. (to two decimal places)
- For each of the following, estimate the value of the linear correlation coefficient r for the given paired data obtained from 50 randomly selected adults. a. Their heights are measured in inches ( x ) and those same heights are recorded in centimeters ( y ). b. Their IQ scores (x ) are measured and their heights ( y) are measured in centimeters. c. Their pulse rates ( x ) are measured and their IQ scores are measured ( y ). d. Their heights ( x) are measured in centimeters and those same heights are listed again, but with negative signs ( y ) preceding each of these second listings.For the following scores, X Y 1 6 4 1 1 4 1 3 3 1 a. Compute the SP. b. Compute the SSX, SSY. c. Compute the Pearson correlation. d. Compute the r² and interpret this value.Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using α=0.01. Overhead width overhead weight 7.1 111 7.6 164 9.8 250 9.2 192 8.8 205 8.2 183 Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? The linear correlation coefficient is r=? (Round to three decimal places as needed.) The linear correlation coefficient is r=? (Round to three decimal places as needed.) The critical values are r=? (Round to three decimal places as needed. Use a comma to separate answers as needed.) Because the absolute value of the linear correlation coefficient is ______ than the positive critical value, there _______ sufficient evidence to support the claim that there is a linear…