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
Solve for the slope, y-intercept, equation of the trend line, the correlation coefficient, and the coefficient of determination for the following the data set. Show your work and explain the steps you used to solve. Round your answer to the nearest hundredth. Save Goals Percentage 36 9.61 9.42 9.35 DELL 58 66
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…
Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The linear correlation coefficient r is 0.567. Find the value of the coefficient of determination. What practical information does the coefficient of determination provide? Question content area bottom Part 1 Choose the correct answer below. A. The coefficient of determination is 0.321. 32.1% of the variation is explained by the linear correlation, and 67.9% is explained by other factors. B. The coefficient of determination is 0.679. 67.9% of the variation is explained by the linear correlation, and 32.1% is explained by other factors. C. The coefficient of determination is 0.321. 67.9% of the variation is explained by the linear correlation, and 32.1% is explained by other factors. D. The coefficient of determination is 0.679. 32.1% of the variation is explained by the linear correlation, and 67.9% is…
What does the sign and actual number tell you in a correlation?
The more serving of fruits and vegetables that people tend to eat during the week, the lower their levels of cholesterol. What type of correlation vegetables eaten and cholesterol levels? A positive B negative
From the calculation that you obtained, interpret the correlation coefficient of the data found in the table Person Hand Height A 17 150 B 15 154 19 169 17 172 E 21 175 port
Construct a scatter plot from the given points and describe the correlation.
ASK YOUR TEACHER The superintendent of a school district wants to determine if there is a statistically significant correlation between expenditures and test scores. She finds the top 10 Sonoma County school districts, ranked by spending, and the test scores shown in the table. Top 10 Sonoma County School Districts by Spending f dollars District Expenditure Test Score (API) Horicon $20,136 676 Fort Ross 17,123 767 Montgomery 16,539 844 Monte Fio 14,280 872 Kenwood 13,248 871 Geyserville 12,499 776 Alexander Valley 11,640 894 Harmony 11,353 863 Two Rock 10,406 866 Roseland 10,059 779 What is the correlation between the expenditure (x) and the test score (y)? (Round your answer to four decimal places.) r = Is this correlation significant at either the 5% or the 1% significance level? Yes, there is a correlation. It is significant at the 1% level. Yes, there is a correlation. It is significant at the 5% level. O No, there is no significant correlation. Need Help? Reid it Additional…
answer please
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 a = 0.01. Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. OA 70- 20- 20 70 Best Actress (years) B. 70- 20- 20 70 Best Actress (years) The linear correlation coefficient is r = (Round to three decimal places as needed.) 70- 20- 20 70 Best Actress (years) Q G D. 70- 20- 20 70 Best Actress (years)

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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.