The following table shows the number, in millions, of women employed outside the home in the given year. Number Year in millions 1942 16.11 1943 18.70 1944 19.17 1945 19.03 1946 16.78 (a) Use regression to find a quadratic model for the data. (Lett be the number of years since 1942. Round the regression parameters to three decimal places.) N= (b) Express using functional notation the number of women working outside the home in 1948, and then estimate that value. (Round your answer to two decimal places.) million (c) The actual number of women working outside the home in 1947 was 16.90 million, whereas in 1948 the number was 17.58 million. In light of this, is a quadratic model appropriate for the period from 1942 through 1948? O Yes O No

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The following table shows the number, in millions, of women employed outside the home in the given year.

The table below shows the number, in millions, of women employed outside the home in the given year.

| Year | Number in millions |
|------|--------------------|
| 1942 | 16.11              |
| 1943 | 18.70              |
| 1944 | 19.17              |
| 1945 | 19.03              |
| 1946 | 16.78              |

**Tasks:**

(a) Use regression to find a quadratic model for the data. (Let \( t \) be the number of years since 1942. Round the regression parameters to three decimal places.)
\[ N = \_\_\_ \]

(b) Express using functional notation the number of women working outside the home in 1948, and then estimate that value. (Round your answer to two decimal places.)
\[ N(\_\_\_) = \_\_\_\_ \, \text{million} \]

(c) The actual number of women working outside the home in 1947 was 16.90 million, whereas in 1948 the number was 17.58 million. In light of this, is a quadratic model appropriate for the period from 1942 through 1948?
- O Yes
- O No
Transcribed Image Text:The table below shows the number, in millions, of women employed outside the home in the given year. | Year | Number in millions | |------|--------------------| | 1942 | 16.11 | | 1943 | 18.70 | | 1944 | 19.17 | | 1945 | 19.03 | | 1946 | 16.78 | **Tasks:** (a) Use regression to find a quadratic model for the data. (Let \( t \) be the number of years since 1942. Round the regression parameters to three decimal places.) \[ N = \_\_\_ \] (b) Express using functional notation the number of women working outside the home in 1948, and then estimate that value. (Round your answer to two decimal places.) \[ N(\_\_\_) = \_\_\_\_ \, \text{million} \] (c) The actual number of women working outside the home in 1947 was 16.90 million, whereas in 1948 the number was 17.58 million. In light of this, is a quadratic model appropriate for the period from 1942 through 1948? - O Yes - O No
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