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Category > Math Posted 15 Jan 2020 My Price 12.00

MAT 300 Unit 4 Milestone 4 Exam Answer Sophia Course

Data for weight (in pounds) and age (in months) of babies is entered into a statistics software package and results in a regression equation of ŷ = 17 + 0.8x.

What is the correct interpretation of the slope if the weight is the response variable and the age is the explanatory variable?



The weight of a baby increases by 0.8 pounds, on average, when the baby's age increases by 1 month.



The weight of a baby increases by 17 pounds, on average, when the baby's age increases by 1 month.



The weight of a baby decreases by 17 pounds, on average, when the baby's age increases by 1 month.



The weight of a baby decreases by 0.8 pounds, on average, when the baby's age increases by 1 month.

Fred Anderson, an artist, has recorded the number of visitors who visited his exhibit in the first 8 hours of opening day. He has made a scatter plot to depict the relationship between the number of hours and the number of visitors.

How many visitors were there during the fourth hour?



The scatterplot below shows the relationship between the grams of fat and total calories in different food items.

The equation for the least-squares regression line to this data set is .

What is the predicted number of total calories for a food item that contains 25 grams of fat?



483.55



549.54



417.56



383.55

Which of the following scatterplots shows an outlier in both the x- and y-direction?



For this scatterplot, the r2 value was calculated to be 0.9382.

Which of the following set of statements is true?



About 94% of the variation in beach visitors can be explained by a positive linear relationship with daily temperature.

The correlation coefficient, r, is 0.969.



About 94% of the variation in beach visitors is explained by a negative linear relationship with daily temperatures.

The correlation coefficient, r, is 0.969.



There is no strong correlation in the linear association between beach visitors and daily temperatures.

The correlation coefficient, r, is 0.880



About 94% of the variation in daily temperature can be explained by a positive linear relationship with beach visitors.

The correlation coefficient, r, is 0.880

Shawna reads a scatterplot that displays the relationship between the number of cars owned per household and the average number of citizens who have health insurance in neighborhoods across the country. The plot shows a strong positive correlation.

Shawna recalls that correlation does not imply causation. In this example, Shawna sees that increasing the number of cars per household would not cause members of her community to purchase health insurance.

Identify the lurking variable that is causing an increase in both the number of cars owned and the average number of citizens with health insurance.



Average mileage per vehicle



The number of cars on the road



The number of citizens in the United States



Average income per household

A basketball player recorded the number of baskets he could make depending on how far away he stood from the basketball net. The distance from the net (in feet) is plotted against the number of baskets made as shown below.

Using the best-fit line, approximately how many baskets can the player make if he is standing ten feet from the net?



9 baskets



8 baskets



3 baskets



5 baskets

Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A rat weighs 3.5 pounds and costs $4.50 per week to feed, while a Beagle weighs 30 pounds and costs $9.20 per week to feed.

Using weight as the explanatory variable, what is the slope of the line between these two points? Answer choices are rounded to the nearest hundredth.



$0.18 / lb.



$5.64 / lb.



$0.31 / lb.



$1.60 / lb.

The scatterplot below charts the performance of an electric motor.

Which answer choice correctly indicates the explanatory variable and the response variable of the scatterplot?



Explanatory variable: Voltage

Response variable: Electric motor



Explanatory variable: Rotation

Response variable: Voltage



Explanatory variable: Voltage

Response variable: Rotation



Explanatory variable: Rotation

Response variable: Electric motor

Given the information below, what is the slope and y-intercept for the least-squares line of the Quiz 1 scores and Test scores? Answer choices are rounded to the hundredths place.

Slope = 0.54

y-intercept = 1.71



Slope = 0.60

y-intercept = 7.16



Slope = 0.60

y-intercept = 1.22



Slope = 0.54

y-intercept = 1.22

This scatterplot shows the performance of a thermocouple using the variables temperature difference and voltage.

Select the answer choice that accurately describes the data's form, direction, and strength in the scatterplot.



Form: The data pattern is nonlinear.

Direction: There is a positive association between temperature difference and voltage.

Strength: The data pattern is weak.



Form: The data pattern is linear.

Direction: There is a negative association between temperature difference and voltage.

Strength: The data pattern is strong.



Form: The data pattern is nonlinear.

Direction: There is a negative association between temperature difference and voltage.

Strength: The data pattern is weak.



Form: The data pattern is linear.

Direction: There is a positive association between temperature difference and voltage.

Strength: The data pattern is strong.

Which of the following statements is TRUE?



A high correlation is insufficient to establish causation on its own.



If the two variables of a scatterplot are strongly related, this condition implies causation between the two variables.



Only a correlation equal to 0 implies causation.



A correlation of 1 or -1 implies causation.

A correlation coefficient between average temperature and coat sales is most likely to be __________.



between 1 and 2



between 0 and 1



between 0 and -1



between -1 and -2

The scores of the quizzes of five students in both English and Science are:

Student English Science

Student 1 6 8

Student 2 5 5

Student 3 9 6

Student 4 4 7

Student 5 8 9

For English, the mean is 6.4 and the standard deviation is 2.0.

For Science, the mean is 7 and the standard deviation is 1.6.

Using the formula below or Excel, find the correlation coefficient, r, for this set of scores. Answer choices are rounded to the nearest hundredth.



0.05



0.50



0.23



0.42

Shawna finds a study of American women that had an equation to predict weight (in pounds) from height (in inches): ŷ = -260 + 6.6x. Shawna’s height was 64 inches and her weight was 150 pounds.

What is the value of the residual for Shawna's weight and height?



730 pounds



-12.4 pounds



162.4 pounds



12.4 pounds

lp with this question

Which of the following scatterplots shows a correlation affected by inappropriate grouping?



Which of the following is NOT a guideline for establishing causality?



Take into consideration all the other possible causes.



Keep all variables the same to get duplicate results.



Perform a randomized, controlled experiment.



Look for cases where correlation exists between the variables of a scatterplot.

Which statement about correlation is FALSE?



A correlation of -1 or 1 corresponds to a perfectly linear relationship.



Correlation is a quantitative measure of the strength of a linear association between two variables.



Correlation is a quantitative measure of the strength of a non-linear association between two variables.



Correlation is measured by r, the correlation coefficient which has a value between -1 and 1.

Answers

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Status NEW Posted 15 Jan 2020 11:01 PM My Price 12.00

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file 1579138820-MAT 300 Unit 4 Milestone 4 Exam Answer Sophia Course.docx preview (1929 words )

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