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The accompanying data gives the high and low temperatures in January for a random sample of 50 cities. a. Decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate. b. If appropriate, obtain the linear correlation coefficient. c. If appropriate, interpret the value of r in terms of the linear relationship between the two variables. E Click the icon to view the High and Low data values. a. The linear correlation coefficient as a descriptive measure for the data V appropriate because the data points appear to be scattered about a line. b. Select the correct choice and, if necessary, fill in the answer box to complete your choice. O A. The linear correlation coefficient is the data points appear to be scattered about a curve. (Round to three decimal places as needed.) O B. The linear correlation coefficient as a descriptive measure for the data is not appropri the data points appear to be scattered about a line. c. Choose the correct answer below. the data points do not appear to be scattered about a line. A. There appears to be a strong negative linear association between the two variables. the data points do not appear to be scattered about a curve. O B. There appears to be a weak positive linear association between the two variables. O C. There appears to be a weak negative linear association between the two variables. O D. There appears to be a strong positive linear association between the two variables. O E. The linear correlation c High and Low data High Low High Low (x) (y) (x) (y) 34 22 39 28 31 22 57 41 91 74 60 46 88 71 64 51 67 55 86 79 64 45 36 23

The accompanying data gives the high and low temperatures in January for a random sample of 50 cities. a. Decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate. b. If appropriate, obtain the linear correlation coefficient. c. If appropriate, interpret the value of r in terms of the linear relationship between the two variables. E Click the icon to view the High and Low data values. a. The linear correlation coefficient as a descriptive measure for the data V appropriate because the data points appear to be scattered about a line. b. Select the correct choice and, if necessary, fill in the answer box to complete your choice. O A. The linear correlation coefficient is the data points appear to be scattered about a curve. (Round to three decimal places as needed.) O B. The linear correlation coefficient as a descriptive measure for the data is not appropri the data points appear to be scattered about a line. c. Choose the correct answer below. the data points do not appear to be scattered about a line. A. There appears to be a strong negative linear association between the two variables. the data points do not appear to be scattered about a curve. O B. There appears to be a weak positive linear association between the two variables. O C. There appears to be a weak negative linear association between the two variables. O D. There appears to be a strong positive linear association between the two variables. O E. The linear correlation c High and Low data High Low High Low (x) (y) (x) (y) 34 22 39 28 31 22 57 41 91 74 60 46 88 71 64 51 67 55 86 79 64 45 36 23

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 11CT
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**Educational Website Transcription: Understanding Correlation with Temperature Data** The following exercise focuses on the correlation between high and low temperatures in January across a sample of 50 cities. It guides you through verifying the appropriateness of using a linear correlation coefficient as a descriptive measure and interpreting the resulting data. **Steps:** a. Determine if the linear correlation coefficient is an appropriate descriptive measure by analyzing the scatter pattern of data points: - The data points appear to be scattered around a line. b. Calculate the linear correlation coefficient. This step typically involves using statistical software or a calculator to perform the computation. c. Interpret the linear relationship between the two variables using the correlation coefficient value. **Options for Analysis:** - The linear correlation coefficient is __ appropriate because the data points appear to be scattered around a line. **Choices:** A. The linear correlation coefficient is __. - (Round to three decimal places as needed.) B. Validate whether using the linear correlation coefficient as a descriptive measure is appropriate. C. Identify the strength and direction of the linear relationship: - A strong negative linear association. - A weak positive linear association. - A weak negative linear association. - A strong positive linear association. - No linear association. **Data Visualization: High and Low Data** A table displays high (x) and low (y) temperatures for the sampled cities as follows: | High (x) | Low (y) | High (x) | Low (y) | |----------|----------|----------|----------| | 34 | 22 | 39 | 28 | | 31 | 22 | 57 | 41 | | 91 | 74 | 60 | 46 | | 88 | 71 | 64 | 51 | | 87 | 65 | 65 | 50 | | 68 | 55 | 79 | 63 | | 67 | 45 | 62 | 23 | | 54 | 41 | 82 | 68 | | 58 | 43 | 43 | 34 | | 43 | 33 | 52 | 44 | | 32 | 21 | 65 | 34
Transcribed Image Text:**Educational Website Transcription: Understanding Correlation with Temperature Data** The following exercise focuses on the correlation between high and low temperatures in January across a sample of 50 cities. It guides you through verifying the appropriateness of using a linear correlation coefficient as a descriptive measure and interpreting the resulting data. **Steps:** a. Determine if the linear correlation coefficient is an appropriate descriptive measure by analyzing the scatter pattern of data points: - The data points appear to be scattered around a line. b. Calculate the linear correlation coefficient. This step typically involves using statistical software or a calculator to perform the computation. c. Interpret the linear relationship between the two variables using the correlation coefficient value. **Options for Analysis:** - The linear correlation coefficient is __ appropriate because the data points appear to be scattered around a line. **Choices:** A. The linear correlation coefficient is __. - (Round to three decimal places as needed.) B. Validate whether using the linear correlation coefficient as a descriptive measure is appropriate. C. Identify the strength and direction of the linear relationship: - A strong negative linear association. - A weak positive linear association. - A weak negative linear association. - A strong positive linear association. - No linear association. **Data Visualization: High and Low Data** A table displays high (x) and low (y) temperatures for the sampled cities as follows: | High (x) | Low (y) | High (x) | Low (y) | |----------|----------|----------|----------| | 34 | 22 | 39 | 28 | | 31 | 22 | 57 | 41 | | 91 | 74 | 60 | 46 | | 88 | 71 | 64 | 51 | | 87 | 65 | 65 | 50 | | 68 | 55 | 79 | 63 | | 67 | 45 | 62 | 23 | | 54 | 41 | 82 | 68 | | 58 | 43 | 43 | 34 | | 43 | 33 | 52 | 44 | | 32 | 21 | 65 | 34
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