1. The following data show the number of years by which passenger jeepneys have been used and their corresponding depreciated prices in thousand pesos. Age in years (X) Price in thousand pesos (Y) 85 103 6. 70 82 89 5 98 6 66 6. 95 2. 169 70 48 Compute the correlation coefficient rand test its significance at a = 0.01.
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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 following table shows the magnitude of earthquakes on the Richter scale, x, and the corresponding depth of the earthquakes (in kilometers) below the surface at the epicenter of the earthquake. Find the correlation coefficient of the following pairs of data: x = earthquake magnitude 2.9 4.2 3.3 4.5 2.6 3.2 3.4 y = depth of earthquake (in km) 5 10 11.2 10 7.9 3.9 5.5The 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…1.Determine the linear correlation coefficient between speed and distance. ( round to three decimal places as needed). 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 α=0.01. 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? Overhead Width 7.1 7.6 9.7 9.4 8.8 8.2 Weight 111 198 246 204 202 185 Construct a scatterplot. Choose the correct graph below. (inserted as picture) 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 (greater,less than, equal to) than the positive…For a data set of chest sizes (distance around chest ininches) and weights (pounds) of ten anesthetized bears that weremeasured, the linear correlation coefficient is r=0.591. Use the table available below to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation? 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576Listed 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. 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? Overhead Width 7.1 7.7 9.7 9.4 8.7 8.3 Weight 111 201 242 204 197 192 Construct a scatterplot. Choose the correct graph below. The linear correlation coefficient is r=enter your response here. (Round to three decimal places as needed.) The critical values are r=enter your response here. (Round to three decimal places as needed. Use a comma to separate answers as needed.)
- 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…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. 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? Overhead Width 7.1 7.5 9.6 9.3 8.7 8.2 Weight 115 193 237 196 198 186We have obtain the following x-y-pairs of data: x 1.8 10 4.2 7 -8.3 y 6.3 9.6 7.4 -1.3 -1.6 Compute the correlation coefficient for this data and enter it to at least 2 decimal places.