The data given below are the high and low temperatures in January for a random sample of 50 cities. Use the technology of your choice to complet (a) through (d). E Click the icon to view the high and low temperatures. a. Decide whether finding a regression line for the data is reasonable. If so, then also do parts (b) through (d). For the purposes of this regression, let High be the explanatory variable (x) and let Low be the response variable (y). There is a linear pattern to the data, so it is reasonable to carry out a linear regression. b. Compute the coefficient of determination, r. Select the correct choice below and fill in any answer boxes within your choice. O A. 2 = (Round to three decimal places as needed.) O B. It is not appropriate to carry out a linear regression. c. Determine the percentage of variation in the observed values of the response variable explained by the regression, and interpret your answer. S the correct choice below and fill in any answer boxes within your choice.
The data given below are the high and low temperatures in January for a random sample of 50 cities. Use the technology of your choice to complet (a) through (d). E Click the icon to view the high and low temperatures. a. Decide whether finding a regression line for the data is reasonable. If so, then also do parts (b) through (d). For the purposes of this regression, let High be the explanatory variable (x) and let Low be the response variable (y). There is a linear pattern to the data, so it is reasonable to carry out a linear regression. b. Compute the coefficient of determination, r. Select the correct choice below and fill in any answer boxes within your choice. O A. 2 = (Round to three decimal places as needed.) O B. It is not appropriate to carry out a linear regression. c. Determine the percentage of variation in the observed values of the response variable explained by the regression, and interpret your answer. S the correct choice below and fill in any answer boxes within your choice.
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![The data given below are the high and low temperatures in January for a random sample of 50 cities. Use the technology of your choice to complete (a) through (d).
Click the icon to view the high and low temperatures.
a. Decide whether finding a regression line for the data is reasonable. If so, then also do parts (b) through (d).
For the purposes of this regression, let High be the explanatory variable (x) and let Low be the response variable (y).
There is [a linear pattern] to the data, so it is [reasonable] to carry out a linear regression.
b. Compute the coefficient of determination, \( r^2 \). Select the correct choice below and fill in any answer boxes within your choice.
- \(\circ\) A. \( r^2 = \underline{\hspace{2cm}} \) (Round to three decimal places as needed.)
- \(\circ\) B. It is not appropriate to carry out a linear regression.
c. Determine the percentage of variation in the observed values of the response variable explained by the regression, and interpret your answer. Select the correct choice below and fill in any answer boxes within your choice.
- \(\circ\) A. \(\underline{\hspace{2cm}}\)% (Round to one decimal place as needed.)
- \(\circ\) B. It is not appropriate to carry out a linear regression.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff534fa3a-7fc6-4517-a79f-1e1d7853b104%2Fc4123476-4b8e-42fb-bf99-c44513e43b7a%2Favdddd_processed.png&w=3840&q=75)
Transcribed Image Text:The data given below are the high and low temperatures in January for a random sample of 50 cities. Use the technology of your choice to complete (a) through (d).
Click the icon to view the high and low temperatures.
a. Decide whether finding a regression line for the data is reasonable. If so, then also do parts (b) through (d).
For the purposes of this regression, let High be the explanatory variable (x) and let Low be the response variable (y).
There is [a linear pattern] to the data, so it is [reasonable] to carry out a linear regression.
b. Compute the coefficient of determination, \( r^2 \). Select the correct choice below and fill in any answer boxes within your choice.
- \(\circ\) A. \( r^2 = \underline{\hspace{2cm}} \) (Round to three decimal places as needed.)
- \(\circ\) B. It is not appropriate to carry out a linear regression.
c. Determine the percentage of variation in the observed values of the response variable explained by the regression, and interpret your answer. Select the correct choice below and fill in any answer boxes within your choice.
- \(\circ\) A. \(\underline{\hspace{2cm}}\)% (Round to one decimal place as needed.)
- \(\circ\) B. It is not appropriate to carry out a linear regression.
Transcribed Image Text:The image presents a table with columns labeled "High" and "Low," showing various sets of numerical data:
- The first set of data under "High":
- 31
- 30
- 93
- 84
- 64
- 61
- 62
- 58
- 41
- 34
- 26
- 59
- 46
- 42
- 70
- 84
- 81
- The corresponding "Low" values:
- 22
- 22
- 74
- 71
- 55
- 45
- 45
- 41
- 33
- 21
- 18
- 45
- 36
- 33
- 45
- 73
- 76
- The second set of data under "High":
- 35
- 59
- 60
- 63
- 87
- 35
- 85
- 42
- 53
- 66
- 32
- 50
- 62
- 33
- 83
- 30
- 44
- The corresponding "Low" values:
- 28
- 41
- 46
- 51
- 79
- 23
- 68
- 34
- 41
- 48
- 24
- 42
- 52
- 25
- 78
- 15
- 34
This table may represent high and low temperature readings, test scores, or other data points collected over time or across different scenarios. Understanding the context of these "High" and "Low" measures would require additional information.
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