The table shows the yield (in bushels per acre) and the total production (in milions of bushels) for com in a country for selected years since 1950. Let x represent years since 1900. Find a logarithmic regression model (y =a+blnx) for the yield. Estimate the yield in 2023. Yield 37 60 84 Year 1950 50 1960 1970 60 1980 1990 70 80 90 2000 2010 100 110 116 136 157 The regression model is y=D+Oinx. (Round to one decimal place as needed.) The estimated yleld in 2023 is bushels/acre. (Round to the nearest integer)
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
![The table shows the yield (in bushels per acre) and the total production (in millions of bushels) for corn in a country for selected years since 1950. Let x represent years since 1900. Find a logarithmic regression model (y = a +bIn x) for the yield. Estimate the yield in 2023.
Year
Yield
1950
50
37
1960
60
60
1970
70
84
1980
80
93
1990
2000
90
116
136
157
100
2010
110
The regression model is y =+OInx.
(Round to one decimal place as needed.)
The estimated yield in 2023 is bushels/acre.
(Round to the nearest integer.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b2d2087-0413-432e-842b-e7bfa6e336f7%2F11839aa4-d79d-427b-a0c0-d8e851c498a7%2F33zml1g_processed.png&w=3840&q=75)
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