# A researcher found a study relating the value of a

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MAT 300 Unit 4 Challenges Sophia.docx

A researcher found a study relating the value of a car, y, to the age of the car, x. When researchers looked at the association of x and y, they found that the coefficient of determination was .Select two conclusions that the researcher can make from this data.a.)About 16% of the variation in value of the car is explained by a linear relationship with the age of the car.b.)The correlation coefficient, r, is 0.397.c.)About 40% of the variation in the age of the car is explained by a linear relationship with the value of the car.d.)The correlation coefficient, r, is 0.842.e.)About 84% of the variation in the value of the car is explained by a linear relationship with the age of the car.f.)The correlation coefficient, r, is 0.025.Answer Rationale
Recall the coefficient of determination is a measure of the percent of variation in the outcome, y, explained by a regression. So this means that 15.8%, or about 16%, of the variation in the value of a car (y) can be accounted for by the age of the car (x).Also, in order to get the correlation coefficient, we simply take the square root of r-squared:A scatterplot was created using the miles-per-gallon and weight of 20 cars. Another car is added to the scatterplot (shown in red in the lower part of the graph).Which statement is TRUE regarding the added point?
d.)It is an outlier in both the x- and y-direction.The data is well within the data in the x-direction along the horizontal axis, but it is below therange of data in the vertical axis, lying below the other data points. So it is an outlier in the y-direction.A scatterplot was created using the miles-per-gallon and weight of 8 cars. Another car is added to the scatterplot (shown in red in the left side of the graph).Select the TRUE statement about this added point.
Since the data is within the range of the y-values (along the vertical axis), it is not an outlier in the y-direction. The data is however, far away along the horizontal axis or x-direction.A scatterplot was created using the weight and weekly feed cost for eight pets. Two more petsare added to the scatterplot (shown in red in the upper left side of the graph).Select the TRUE statement about the two added points.
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