Concept explainers
If
Year Painted | 1950 | 1955 | 1960 | 1965 | 1970 | 1975 |
Paintings sold | 8 | 5 | 25 | 21 | 9 | 22 |
Answer to Problem 16PPS
The equation for regression line is
Explanation of Solution
Given:
The given data is shown as,
Year Painted | 1950 | 1955 | 1960 | 1965 | 1970 | 1975 |
Paintings sold | 8 | 5 | 25 | 21 | 9 | 22 |
Calculation: Plugging
The predicted number of paintings that were painted in the year 1961.
Answer to Problem 16PPS
The predicted number of paintings that were painted in the year 1961 was 14.
Explanation of Solution
Given:The given data is shown as,
Year Painted | 1950 | 1955 | 1960 | 1965 | 1970 | 1975 |
Paintings sold | 8 | 5 | 25 | 21 | 9 | 22 |
Calculation: Plugging
Hence, the predicted number of paintings in the year 1961 were 14.
Whether the linear regression equation is an accurate model of the given data.
Answer to Problem 16PPS
Yes, the linear regression equation is an accurate model for the given data.
Explanation of Solution
Given: The given data is shown as,
Year Painted | 1950 | 1955 | 1960 | 1965 | 1970 | 1975 |
Paintings sold | 8 | 5 | 25 | 21 | 9 | 22 |
Calculation:Evaluating the
Now, the value of correlation coefficient is 0.48 which is closer to 1 to -1. Therefore, the linear equation models the data accurately. Hence, the linear regression model for the given data is an accurate model.
Chapter 4 Solutions
Algebra 1
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