c. Determine and interpret the regression equation for the data. Select the correct choice below and, if necessary, fill in any answer boxes within your choice. A. )x, which means there is a positive linear relationship between high The regression equation is y = and low temperatures. (Round to three decimal places as needed.) + B. The regression equation is y = + ( )x, which means there is a negative linear relationship between high and low temperatures. (Round to three decimal places as needed.) O C. This question is not applicable since a regression line is not reasonable.

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**Data Table: High and Low Values**

This table presents a data set with two columns of high and low values. The data is split into two sections.

**Section 1:**

- **High Values:** 33, 31, 91, 86, 66, 61, 64, 59, 42, 33, 31, 26, 57, 45, 42, 70, 47, 53, 82, 85, 65, 85, 44, 39, 55, 59, 80, 85
- **Low Values:** 21, 22, 72, 71, 54, 43, 44, 41, 35, 34, 27, 21, 45, 36, 34, 35, 35, 71, 74, 72, 35, 72, 38, 36, 86, 45, 64, 66

**Section 2:**

- **High Values:** 36, 59, 62, 64, 85, 63, 71, 59, 68, 24, 40, 52, 35, 86, 85, 61, 36, 72, 30, 71, 81, 26, 85, 40, 28, 44, 43, 49
- **Low Values:** 29, 42, 48, 52, 34, 25, 85, 35, 49, 23, 31, 44, 75, 77, 35, 8, 72, 8, 21, 68, 44, 27, 36, 68, 45, 36, 33, 36

This data can be utilized for analyzing patterns, computing averages, or any statistical operations suitable for educational purposes.
Transcribed Image Text:**Data Table: High and Low Values** This table presents a data set with two columns of high and low values. The data is split into two sections. **Section 1:** - **High Values:** 33, 31, 91, 86, 66, 61, 64, 59, 42, 33, 31, 26, 57, 45, 42, 70, 47, 53, 82, 85, 65, 85, 44, 39, 55, 59, 80, 85 - **Low Values:** 21, 22, 72, 71, 54, 43, 44, 41, 35, 34, 27, 21, 45, 36, 34, 35, 35, 71, 74, 72, 35, 72, 38, 36, 86, 45, 64, 66 **Section 2:** - **High Values:** 36, 59, 62, 64, 85, 63, 71, 59, 68, 24, 40, 52, 35, 86, 85, 61, 36, 72, 30, 71, 81, 26, 85, 40, 28, 44, 43, 49 - **Low Values:** 29, 42, 48, 52, 34, 25, 85, 35, 49, 23, 31, 44, 75, 77, 35, 8, 72, 8, 21, 68, 44, 27, 36, 68, 45, 36, 33, 36 This data can be utilized for analyzing patterns, computing averages, or any statistical operations suitable for educational purposes.
A random sample of 50 cities have the data on average high and low temperatures in January shown in the accompanying table. Use the technology of your choice and the given data to complete parts (a) through (f). Use high temperature as the explanatory variable.

[Icon for viewing the table of average high and low temperatures]

**c. Determine and interpret the regression equation for the data. Select the correct choice below and, if necessary, fill in any answer boxes within your choice.**

- **A.** The regression equation is \( \hat{y} = \Box + (\Box)x \), which means there is a positive linear relationship between high and low temperatures.  
  *(Round to three decimal places as needed.)*

- **B.** The regression equation is \( \hat{y} = \Box + (\Box)x \), which means there is a negative linear relationship between high and low temperatures.  
  *(Round to three decimal places as needed.)*

- **C.** This question is not applicable since a regression line is not reasonable.
Transcribed Image Text:A random sample of 50 cities have the data on average high and low temperatures in January shown in the accompanying table. Use the technology of your choice and the given data to complete parts (a) through (f). Use high temperature as the explanatory variable. [Icon for viewing the table of average high and low temperatures] **c. Determine and interpret the regression equation for the data. Select the correct choice below and, if necessary, fill in any answer boxes within your choice.** - **A.** The regression equation is \( \hat{y} = \Box + (\Box)x \), which means there is a positive linear relationship between high and low temperatures. *(Round to three decimal places as needed.)* - **B.** The regression equation is \( \hat{y} = \Box + (\Box)x \), which means there is a negative linear relationship between high and low temperatures. *(Round to three decimal places as needed.)* - **C.** This question is not applicable since a regression line is not reasonable.
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