Question

Intro to Stats

Q1:

Q2:

[3-6] Correlation is a measure of the direction and strength of the linear (straight-line) association between two quantitative variables. The analysis of data from a study found that the scatter plot between two variables, x and y, appeared to show a straight-line relationship and the correlation (r) was calculated to be -0.84. This tells us that there is little reason to believe that the two variables have a linear association relationship all of the data values for the two variables lie on a straight line. there is a strong linear relationship between the two variables with larger values of x tending to be associated with larger values of the y variable. there is a strong linear relationship between x and y with smaller x values tending to be associated with larger values of the y variable. there is a weak linear relationship between x and y with smaller x values tending to be associated with smaller values of the y variable. [3-7] As Swiss cheese matures, a variety of chemical processes take place. The taste of matured cheese is related to the concentration of several chemicals in the final product. In a study of cheese in a certain region of Switzerland, samples of cheese were analyzed for lactic acid concentration and were subjected to taste tests. The numerical taste scores were obtained by combining the scores from several tasters. A scatter plot of the observed data is shown below 60.0 o 40,0- -200- 10.0 0.0 080 1001.20 40 150180 200 220 Lactic Acicd What is a plausible value for the correlation between lactic acid concentration and taste rating? 0.999 0.7 0.04 0.3

Answer 1

Answer: 1) Option D There is a strong linear relationship between x and y with smaller x values trending to be associated with larger values of the y variable. Explanation: > When correlation is closer to 0 is indicated that there is no relationship between the two variables. Since, value of correlations-0.84 i.e. not closer to 0, thus the relationship between the two is strong. When correlation is negative it means that as one gets larger, the other gets smaller 2) Option B 0.7 Explanation: Here from scatter plotit seems to have a positive linear relationship as trend is increasing and slope is positive butitis not perfect Thus plausible value for the correlation is 0.7