Scatterplot Diagrams Statistics Questions Research Paper

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Part 1Question 1A scatterplot is, in essence, a graph that is used to denote how two quantitative variables relate. When the two variables being measured increase, i.e. an increase in workforce motivation as a consequence of an increase in benefits, this is referred to as positive correlation. On the other hand, when one variable increases as the other decreases, i.e. performance of students decreasing as classroom attendance decreases, this is referred to as negative correlation.Question 2ScatterplotRelationship: There is a positive correlation between R&D and salesQuestion 3A good example of two pairs of variables that are positively correlated would be the time spent on the treadmill versus calories burnt. In essence, the more minutes a person spends on the treadmill, the more calories such a person burns (Peyman, 2017). This is an exercise that involves various body muscles, thus burning more calories than would be the case if an individual failed to engage in any body activity.Question 4A pair of variables showing strong positive correlation would NOT necessarily mean that one variable is a cause for the other. The strongest positive correlation is denoted by 1. This in essence means that an increase in one variable is accompanies by a certain increase in the other. However, it is important to note that this correlation does not indicate or guarantee causation. In the words of Steinberg (2010), “a correlation coefficient, no matter how high, does not indicate where the cause lies” (p. 452). The cause of movement could be triggered by a myriad of other factors.

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For instance, while there could be strong correlation between student performance and class attendance,…

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…32.39714.192 + 32.397= 46.589 miles per gallond) For vehicles that weigh more than 3200 pounds, there should be a gasoline surcharge. This is more so the case given that the relationship denoted between the two variables is strong negative correlation. This means an increase in weight leads to a decrease in miles covered.Question 2a) Scatterplotb) Correlation measure, r = 0.8006c)d) y = 1.4249x - 2.4791e) The chart denotes a positive correlation. Therefore, body fat is quite a good predictor of BMI. As the body fat of an individual increases, so does their BMI increase. Decreasing body fat could, therefore, lead to a decrease in BMI.Question 3a)b) 0.971c)d) The two variables have a positive correlation. An increase in oversized rivet holes tends to lead to an increase in minor repairse) y = 0.4601x + 2.5995y =….....

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