Math Problem Statement
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 alphaαequals=0.010.01. 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 Weight 7.2 114 7.6 192 9.8 249 9.3 197 8.8 203 8.4 195
Critical Values for the Correlation Coefficient n alpha = .05 alpha = .01 4 0.95 0.99 5 0.878 0.959 6 0.811 0.917 7 0.754 0.875 8 0.707 0.834 9 0.666 0.798 10 0.632 0.765 11 0.602 0.735 12 0.576 0.708 13 0.553 0.684 14 0.532 0.661 15 0.514 0.641 16 0.497 0.623 17 0.482 0.606 18 0.468 0.59 19 0.456 0.575 20 0.444 0.561 25 0.396 0.505 30 0.361 0.463 35 0.335 0.43 40 0.312 0.402 45 0.294 0.378 50 0.279 0.361 60 0.254 0.33 70 0.236 0.305 80 0.22 0.286 90 0.207 0.269 100 0.196 0.256 Note: To test H subscript 0: rho equals 0 against H subscript 1: rho not equal to 0, reject H subscript 0 if the absolute value of r is greater than the critical value in the table.
The linear correlation coefficient is __?
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Correlation
Formulas
Pearson correlation coefficient
Theorems
Critical values for correlation coefficient
Suitable Grade Level
Higher Education
Related Recommendation
Calculate Linear Correlation Coefficient with Example Calculation
Calculate the Correlation Coefficient Between Car Weight and Fuel Efficiency
Linear Correlation Between Car Weight and Miles per Gallon
Linear Regression Prediction for Seal Weights Based on Overhead Width
Correlation Coefficient of Acorn Volume and Weight Data