Many universities use a student's ACT score to help with admission decisions as well as placement decisions.| ACT Score | 18 | 20 | 22 | 24 | 26 | 28 | 30 ||-----------|----|----|----|----|----|----|----|| GPA | 1.5| 2 | 3.5| 3.5| 4 | 4.5| 5.5|**Step 1 of 3**: Calculate the correlation coefficient, r. Round your answer to six decimal places.**Answer**How to enter your answer (opens in new window)[Text Entry Box][Submit Answer Button] **Explanation:**The table presents the relationship between ACT scores and GPA. It provides a set of data points which are used to calculate the correlation coefficient, a statistical measure that describes the strength and direction of a relationship between two variables. In this case, the correlation coefficient will help determine how closely the ACT scores are related to GPA.

Correlation coefficient r=∑xi-x(yi-y)∑xi-x2.∑yi-y2

Answered: Many universities use a student's ACT…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The table lists weights (pounds) and highway mileage amounts (mpg) for seven automobiles. Use the sample data to construct a scatterplot Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation? 2425 Weight (Ib) Highway (mpg) 2725 2875 3480 4070 4090 3125 34 33 30 25 24 36 31 Which scatterplot below shows the data? O A. OB. C. O D. 40- 40- 40 20+ 2000 20- 2000 Weight (Ib) 20어 2000 20- 2000 Weight (Ib) 5000 5000 5000 5000 Weight (Ib) Weight (Ib) Is there a linear relationship between weight and highway mileage? O A. No, there appears to be no relationship. O B. Yes, as the weight increases the highway mileage increases. O C. No, there appears to be a relationship, but it is not linear. Click to select your answer. 4:21 PM a 17 梦 * v 6/4/2021 W 0 門 e Type here to search Chp ins prt sc delet fg ho ト f8 144 f6 10 f5 f4 IOI esc back & #3 $4 4 T. 6, 00 %24 (6 d) AamH 3. (B dw) Am
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Researchers wondered whether the size of a person's brain was related to the individual's mental capacity. They selected a sample of 5 females and 5 males and measured their MRI image pixel counts and IQ scores. Females Males MRI IQ MRI IG The data is reported to the right. Complete parts (a) through (d) below 139 858,472 140 955,003 935,494 924,059 1.079.550 1,001.121 Click the icon to view the critical values table. 991,305 138 141 857,782 833,868 790,619 133 135 132 141 135 140 AMRI 1,080,000- AIO 145 AIO 145- AMRI 1,080,000 780,000 130 130 780,000 130 780,000 780,000 130 1,080,000 145 1,080,000 MRI 145 MRI (b) Compute the linear correlation coefficient between MRI count and IQ. Are MRI count and IQ linearly related? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Round to three decimal places as needed.) A. Yes, MRI count and IQ are linearly related since the linear correlation coefficient is O B. No. MRI count and IQ are not…
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Many universities use a student's ACT score to help with admission decisions as well as placement decisions. ACT Score 18 20 22 1.5 2 3 GPA 24 26 28 30 3.5 4 4.5 5.5 Step 1 of 3: Calculate the correlation coefficient, r. Round your answer to six decimal places.