Question

The accompanying table shows eleven altitudes (in thousands of feet) and the speeds of sound in feet per second) at these altitudes. Complete parts (a) through (d) below. Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient. (a) Display the data in a scatter plot. Choose the correct graph below. OA OB OC. 55- 1140 55- 1140-1 -5 940 1140 Altitude (1000's ft) 940+ -5 55 Altitude (1000's ft) -5-+ 940 1140 Altitude (1000's ft) 940+ -5 55 Altitude (1000's ft) (b) Calculate the sample correlation coefficient r. r= - .972 (Round to three decimal places as needed.) (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. There is a strong negative linear correlation Interpret the correlation. Choose the correct answer below. O A. Based on the correlation, there does not appear to be a linear relationship between altitude and speed of sound. OB. Higher altitudes cause decreases in speeds of sound. O C. Higher altitudes cause increases in speeds of sound. OD. As altitude increases, speeds of sound tend to increase O E. Based on the correlation, there does not appear to be any relationship between altitude and speed of sound. F. As altitude increases, speeds of sound tend to decrease. (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let a =0.01. is sufficient evidence at the 1% level of significance to conclude that there is a significant linear correlation between altitude and speed The critical value is Therefore, there of sound. (Round to three decimal places as neede not

How do you determine if there is sufficient evidence or if there is a significant linear correlation?

Answer 1

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Correction. Thanks.