For a data set of brain volumes ​(cm3​) and IQ scores of eight males, the linear correlation coefficient is found and the​ P-value is 0.231. Write a statement that interprets the​ P-value and includes a conclusion about linear correlation.The​ P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is [WHAT PERCENT] which is [LOW OR HIGH] so there [IS OR IS NOT] sufficient evidence to conclude that there is a linear correlation between brain volume and IQ score in males.​(Type an integer or a decimal. Do not​ round.)

The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use a =0.01. Welght, x Varlablity in braking distance, y 5960 5390 6500 5100 5870 4800 2 1.75 1.95 1.93 1.57 1.64 1.50 E Click here to view a table of critical values for Student's t-distribution. Setup the hypothesis for the test. Ho: P Vo Hạ: p Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice. (Round to three decimal places as needed.) O A. The critical values are -to = and to = O B. The critical value is. Calculate the test statistic. t= (Round to three decimal places as needed.) What is your conclusion? a significant linear correlation between vehicle weight and variability in braking distance on a dry surface. There Venough evidence…

Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. 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. Use a significance level of α=0.05.   Internet Users 80.6 78.2 57.3 67.0 77.6 39.1   Award Winners 5.5 8.6 3.4 1.7 11.1 0.1         Question content area bottom Part 1 Construct a scatterplot. Choose the correct graph below.     A.       3090012Internet UsersAward Winners         A scatterplot has a horizontal axis labeled Internet Users from 30 to 90 in increments of 5 and a vertical axis labeled Award Winners from 0 to 12 in increments of 1. Six plotted points loosely follow the pattern of a cuve that falls from left to right passing through the points…

Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals. Listed below are shoe print lengths, foot lengths, and heights of males. 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. Based on these results, does it appear that police can use a shoe print length to estimate the height of a male? Use a significance level of a=0.05. Shoe Print (cm) 28.8 28.8. 32.1 32.6 Foot Length (cm) Height (cm) 25.2 181.7 24.9 173.5 27.5 27.6 27.5 25.9 186 169.1 171 Construct a scatterplot. Choose the correct graph below. OA. 200- 2 160+ Shoe Print (cm) 35 The linear correlation coefficient is r= (Round to three decimal places as needed.) B. 200- 160- 25 Shoe Print (cm) ○ C. 200- G 35 160+ 25 Shoe Print (cm) 35 OD. Q 200- Height (cm) G 160- 25 35 Shoe Print (cm)