A researcher is investigating the characteristics of a certain grain. The researcher examines the relationship betwee the yield (kg/ha) of the grain, as a function of x, the number of days after flowering at which harvesting took place. data are shown in the accompanying table. Complete parts a through c below. a. Construct a scatter plot of the yields (kg/ha) of the grain as a function of the number of days after flowering at wh harvesting took place. Develop a simple linear regression model and a second-order regression model to predict th yield. Which scatter plot below shows the data? O A. 4,000- Q B. 4,000- Q O O C. 4,000- Q O D. 4,000+ Q

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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A: ( in image)

B through C: run regression analysis in full; find regression equations, p value, test statistic...everything that one would need to ackowledged within this information. Thank you graciously.

 

y    x
2518    15
2544    18
3336    21
3429    24
3029    27
3166    30
3475    33
3897    36
3770    39
3667    42
3695    45
3324    48
3501    51
3267    54
3099    57
2844    60

A researcher is investigating the characteristics of a certain grain. The researcher examines the relationship between the yield (kg/ha) of the grain, as a function of \( x \), the number of days after flowering at which harvesting took place. The data are shown in the accompanying table. Complete parts a through c below.

a. Construct a scatter plot of the yields (kg/ha) of the grain as a function of the number of days after flowering at which harvesting took place. Develop a simple linear regression model and a second-order regression model to predict the yield.

Which scatter plot below shows the data?

Choices:

- **A.** A scatter plot with points forming a roughly linear downward trend from left to right.
- **B.** A scatter plot showing a nonlinear pattern with points initially increasing, peaking around the middle, then decreasing.
- **C.** A scatter plot with points forming a downward nonlinear trend.
- **D.** A scatter plot showing a scattered distribution with no distinct pattern.

Each choice includes a graph with the axes labeled as:
- \( y \): Yield (kg/ha), ranging from approximately 0 to 4000 on the vertical axis.
- \( x \): Number of days after flowering, ranging from 0 to 70 on the horizontal axis.
Transcribed Image Text:A researcher is investigating the characteristics of a certain grain. The researcher examines the relationship between the yield (kg/ha) of the grain, as a function of \( x \), the number of days after flowering at which harvesting took place. The data are shown in the accompanying table. Complete parts a through c below. a. Construct a scatter plot of the yields (kg/ha) of the grain as a function of the number of days after flowering at which harvesting took place. Develop a simple linear regression model and a second-order regression model to predict the yield. Which scatter plot below shows the data? Choices: - **A.** A scatter plot with points forming a roughly linear downward trend from left to right. - **B.** A scatter plot showing a nonlinear pattern with points initially increasing, peaking around the middle, then decreasing. - **C.** A scatter plot with points forming a downward nonlinear trend. - **D.** A scatter plot showing a scattered distribution with no distinct pattern. Each choice includes a graph with the axes labeled as: - \( y \): Yield (kg/ha), ranging from approximately 0 to 4000 on the vertical axis. - \( x \): Number of days after flowering, ranging from 0 to 70 on the horizontal axis.
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