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1) In a study involving a large random sample of high school students, an educational psychologist observes a correlation of r = 0.78 between GPA

1) In a study involving a large random sample of high school students, an educational psychologist observes a correlation ofr= 0.78 between GPA and the number of missed school days.If the relationship is linear and we want to predict GPA based on the number of missed school days, which variable should go on the horizontal (orx) axis of the scatterplot?

A)GPA, because it is the explanatory variable.

B)When conducting a regression analysis, it makes no difference which variable is on which axis of the scatterplot.

C)GPA, because it is the response variable.

D)A number of missed school days, because it is the response variable.

E)A number of missed school days because it is the explanatory variable.

2) According to a recent news report, 79% of all college students experience moderate to severe nomophobia, which is fear of being without a smartphone.Imagine that we have been able to select a random sample of 500 college students, and we determine the percentage of these students who have experienced moderate to severe nomophobia.We know, if the sampling method is repeated, that the sample percentage will vary from sample to sample.In fact, if we look at the sampling distribution in this case, we will see a distribution that is Normal, with a mean (or center) of 79% and a standard deviation of 2%.From this information, we know the middle 68% of this sampling distribution will be between approximately what two values?

A)70% and 80%

B)77% and 81%

C)78.5% and 79.5%

D)78% and 80%

E)76% and 82%

3) Allan and Beth are each attempting to estimate the proportion of college students who regularly eat breakfast.They each survey a different random sample of college students, and in each sample, the proportion of students who regularly eat breakfast is 0.35.Allan and Beth each use their sample data to construct a confidence interval.Allan's interval is from 0.308 to 0.392, and Beth's interval is from 0.336 to 0.384.One of these intervals is correct, but the other is not.Which interval must beincorrect?

It's impossible to answer this question without knowing the level of confidence used for each interval.

A)Allan's interval must be incorrect.

B)It's impossible to answer this question without knowing the sample sizes or the level of confidence used for each interval.

C)It's impossible to answer this question without knowing the sample sizes.

D)Beth's interval must be incorrect.

4) Can a cat's body weight predict its heart weight?Data were gathered from a random sample of 250 domestic cats.For each cat, the body weight (in kilograms) and the heart weight (in grams) were recorded.It was observed thatr-squared was equal to 64.7%, and the regression equation was:Predicted heart weight = -0.36 + 4.03 (body weight).From this information, what should we conclude?

A)The correlation between body weight and heart weight would not change if we measured body weight in grams rather than kilograms.

B)The correlation between body weight and heart weight is weak.

C)The units forrwould be "grams per kilogram."

D)The correlation between body weight and heart weight is negative.

E)For each one-kilogram increase in body weight, we predict heart weight to decrease by 0.36 grams.

5)In Canada, there are two official languages:English and French.According to official records, 56% of Canadians speak English as a first language, 21% of Canadians speak French as a first language, and all other Canadians speak a language other than English or French as a first language.From this information, what can we conclude?

A)If we randomly select one Canadian, there is a 50% chance that person will speak multiple languages.

B)Fewer than 15% of Canadians speak a first language other than English or French

C)More than 25% of Canadians speak a first language other than English or French.

D)Without knowing the total population size, it would be impossible to determine the percentage of Canadians who speak a first language other than English or French.

E)If we randomly select one Canadian, there is a 77% chance that person will speak either English or French as a first language.

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