The height in inches of 8 high school girls and their scores on an IQ test is listed below. Height (x) IQ Score (y) 62 109 58 102 65 107 67 114 59 96 64 110 65 116 57 128 a) Calculate the sample correlation coefficient r. b) Calculate the regression line (write up the details). c) Use table 11 in Appendix B to make a conclusion about the correlation coefficient at α= 0.01

The height in inches of 8 high school girls and their scores on an IQ test is listed below. Height (x) IQ Score (y) 62 109 58 102 65 107 67 114 59 96 64 110 65 116 57 128 a) Calculate the sample correlation coefficient r. b) Calculate the regression line (write up the details). c) Use table 11 in Appendix B to make a conclusion about the correlation coefficient at α= 0.01

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 30PT: For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or...

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For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Based on the set of data given in Table 5, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracy
The coefficient of determination of a set of data points is 0.862 and the slope of the regression line is - 3.27. Determine the linear correlation coefficient of the data. What is the linear correlation coefficient? r= (Round to three decimal places as needed.)
For a data set of brain volumes (cm") and 1Q scores of ten males, the linear correlation coefficient is r= 0.708. 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 - X separate answers as needed.) Table of critical values of r Number of Pairs of Data n Critical Value of r 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 6 8 9 10 11 12 0.576 Print Done
For a data set of brain volumes (cm°) and IQ scores of six males, the linear correlation coefficient is r= 0.647. Use the table available below to find the critical values of r. Based on a comparison of the linear correlation coefficient r a 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 Table of Critical Values of r Number of Pairs of Data n Critical Value of r 4 0.950 0.878 6. 0.811 7 0.754 8 0.707 9. 0.666 10 0.632 11 0.602 12 0.576
For a data set of brain volumes (cm?) and IQ scores of seven males, the linear correlation coefficient is r= 0.912. 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.) i Table of Critical Values of r Number of Pairs of Data n Critical Value of r 0.950 0.878 4 6 0.811 7 0.754 0.707 0.666 8 9 10 0.632 11 0.602 12 0.576
For a data set of brain volumes (cm°) and I scores of four males, the linear correlation coefficient is r= 0.968. Use the table available below to find the critica 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.) Since the correlation coefficient r is there V sufficient evidence to support the claim of a linear correlati
For a data set of brain volumes (cm3) and IQ scores of eleven males, the linear correlation coefficient is requals 0.883.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? The critical values are (Type integers or decimals. Do not round. Use a comma to separate answers as needed.)
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You are a robotics engineer working for a large tech company. For one of your artificially intelligent robots, you are looking to see if the size of the data file used to train the robot is predictive of the time the robot takes to complete a maze. You are going to collect a random sample of 9 attempts at completing the maze. You will note for each attempt the size of the data file (denoted by x, in MB) and the time (denoted by y, in seconds) to complete the maze. You will also note the product x'y of the size of the data file and the completion time for each attempt. (These products are written in the row 画 labeled "xy"). (a) Click on "Take Sample" to see the results for your random sample. Data file size, x 181.7 39.1 75.6 138.9 93.4 52.8 138.9 124.3 203.2 (in MB) Completion time, y (in seconds) Take Sample 143 371 320 201 343 435 252 264 88 ху 25,983.1 14,506.1 24,192 27,918.9 | 32,036.2 22,968 | 35,002.8 32,815.2 17,881.6 Send data to calculator Based on the data from your sample,…
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The table lists the average monthly cost to workers for family health insurance for various years. Average Monthly Cost to Workers for Family Health Year, x Insurance a) Use a graphing calculator to fit a regression line to the data. b) Predict the average monthly cost to workers for family health insurance in 2017, and compare the value with $440.69, which is obtained using the points (1,338) and (4,382). c) Find the correlation coefficient for the regression line, and determine whether the line fits the data closely. 2009, 0 2010, 1 2011, 2 2012, 3 2013, 4 $296 338 350 363 382 2014, 5 405