Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The li
1 answer:
Answer:
The value of the coefficient of determination is 0.263 or 26.3%.
Step-by-step explanation:
<em>R</em>-squared is a statistical quantity that measures, just how near the values are to the fitted regression line. It is also known as the coefficient of determination.
A high R² value or an R² value approaching 1.0 would indicate a high degree of explanatory power.
The R-squared value is usually taken as “the percentage of dissimilarity in one variable explained by the other variable,” or “the percentage of dissimilarity shared between the two variables.”
The R² value is the square of the correlation coefficient.
The correlation coefficient between heights (in inches) and weights (in lb) of 40 randomly selected men is:
<em>r</em> = 0.513.
Compute the value of the coefficient of determination as follows:
Thus, the value of the coefficient of determination is 0.263 or 26.3%.
This implies that the percentage of variation in the variable height explained by the variable weight is 26.3%.
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Answer:
C f(x) = {4e^x -5, ..., -x +7, ...
Step-by-step explanation:
The easiest portion to check is the constant section in the interval [0, 6]. All of the function definitions agree on that, so that doesn't help choose the right answer.
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Next easiest is the linear section at the right. It has a negative slope. Extension of the line to the y-axis shows it has a positive y-intercept. This eliminates choices A and D.
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The horizontal asymptote of the exponential portion at the left is -5. Both of the remaining choices B and C agree on that. The exponential is increasing at an increasing rate, so its coefficient is positive. This eliminates choice B.
The appropriate description of the function on the graph is offered by choice C.
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The graph below plots the function. We note that the given graph seems to show the exponential curve incorrectly.
