The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. 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) Dispiay tne ata in a scatter piot. Cnoose tne correct grapn Deiow. O A. OB. Oc. OD. Q 3000 2400 1800 1200 600 3000 2400 * 1800- 4 1200- 600- 2- 2- 24 6 Age (years) 2 4 68 Age (years) 3000 1500 Age (years) 1500 3000 Age (years) (b) Calculate the sample correlation coefficient r. (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 V 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 children's ages and the number of words in their vocabulary O B. As age increases, the number of words in children's vocabulary tends to increase. OC. Aging causes the number of words in children's vocabulary to increase. O D. Aging causes the number of words in children's vocabulary to decrease. O E. Based on the correlation, there does not appear to be any relationship between children's ages and the number of words in their vocabulary. OF. As age increases, the number of words in children's vocabulary tends to decrease.

You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 60 35 55 23 22 32 40 36 40 18 38 33 80 28 37 25   Ho: ρ = 0Ha: ρ > 0 Find the Linear Correlation Coefficient    r = ? Find the p-value   p-value =    The p-value is ? Greater than αα or  Less than (or equal to) α

The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of α = 0.01. Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. Best Actor (years) A. 70- 20+ CHIT • 20 70 Best Actress (years) The linear correlation coefficient is r = (Round to three decimal places as needed.) B. Best Actor (years) 70- 20- IDI ... ● 20 70 Best Actress (years) Best Actress 28 30 Best Actor 41 37 O Best Actor (years) Print 70- 20+ Best Actresses and Best Actors 29 61 33 32 36 43 49 50 20 70 Best Actress (years) 46 64 29 60 23 53 40 56 Done 43 43 57 32 n X Best Actor (years) 70- 20+ Mid 18 ● ● 20 70 Best…

Enter your answers (A, B, C, D, E, F) in the boxes below. Negative Correlation low medium high 42 Positive Correlation low medium high Kaw THE 916 M SIPP%CORRMD051922.pptx (20/24) & 24. 150