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What is the equation of the best model? Select the correct choice below and fill in the answer boxes to complete your choice. Enter only nonzero values. (Type integers or decimals rounded to three decimal places as needed.) O A. y= + In x O B. y= + X O C. y= O D. yE X 2 O E. y= X + ) x+Fm experiment involves dropping a loall and recording the distance it falls {y} for different times [3:] after it was released. Construct a scatterolot and identify the mathematical model that best ts the given data. Assume that the model is to be used only.r for the scope of the given data, and consider only linear. quadratic. logarithmic. exponential. and power models. Time {seconds} 3.5 1 1.5 2 2.5 3 I: Distance {meters} 1.2 4.3 13.5 1?.'3 2-3.3 33.3 Choose the correct scatterplot below. Since the correlation coefficient r is there sufficient evidence to support the claim of a linear correlation.For a data set of brain volumes (cm ) and IQ scores of eleven males, the linear correlation coefficient is r = 0.401. 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? Click the icon to view the table of critical values of r. The critical values are (Type integers or decimals. Do not round. Use a comma to separate answers as needed.)Table of Critical Values of r Number of Pairs of Data n Critical Value of r 0.950 5 0.878 6 0.811 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576Since the correlation coefficient r is there sufficient evidence to support the claim of a linear correlation.For a data set of chest sizes (distance around chest in inches) and weights (pounds) of seven anesthetized bears that were measured, the linear correlation coefficient is r= 0.803. 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? E Click the icon to view the table of critical values of r. The critical values are (Type integers or decimals. Do not round. Use a comma to separate answers as needed.)Table of Critical Values of r Number of Pairs of Data n Critical Value of r 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 0.666 10 0.632 11 0.602 12 0.576For a data set of brain volumes (cm ) and IQ scores of six males, the linear correlation coefficient is found and the P-value is 0.417. 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 %, which is so there 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.)n o = 0.05 0 = 0.01 NOTE: To test Ho: p= 0 0.950 0.990 against H,: p #0, reject H, 0.878 0.959 f the absolute value of r is 6 0.811 0.917 greater than the critical 0.754 0.875 value in the table. 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 0.590 19 0.456 0.575 20 0.444 0.561 25 0.396 0.505 30 0.361 0.463 35 0.335 0.430 40 0.312 0.402 45 0.294 0.378 50 0.279 0.361Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x = 103.81, y = 100.95, r= 0.949, P-value = 0.000, and y = 2.98 + 0.94x, where x represents the IQ score of the younger child. Find the best predicted value of y given that the younger child has an IQ of 110? Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y is (Round to two decimal places as needed.)