A positive correlation between two variables means...

that as one variable increases, the other variable also increases

that as one variable increases, the other variable decreases

that as one variable decreases, the other variable increases

A negative correlation between two variables means...

that as one variable increases, the other variable decreases

that as one variable increases, the other variable also increases

that as one variable decreases, the other variable also decreases

What is a correlation coefficient?

Number between -1 and 1 that describes the strength of a relationship

Number between 0 and 1 that describes the strength of a relationship

The type of relationship; positive, negative or none.

The category of confusion with trend lines

Emile collects data about the amount of oil A, in gallons, used to heat his house per month for 5 months and the average monthly temperature t, in degrees Fahrenheit, for those months. The scatter plot shows the data. The function A(t) = −1.4t + 96 best fits these data. Use A(t) to determine which of the following statements are true.

Emile would use about 82 gallons of oil to heat his house for a month with average temperature 10 °F

Emile would use 0 gallons of oil to heat his house for a month with average temperature 70 °F.

Emile would use 96 gallons of oil to heat his house for a month with average temperature 0 °F.

Emile would use about 85 gallons of oil to heat his house for a month with average temperature 15 °F.

Emile would use about 5 gallons of oil to heat his house for a month with average temperature 55 °F.

The relationship between the amount of data downloaded d, in megabytes, and the time t, in seconds, after the download started is shown. The data points on the scatter plot suggest a linear association. Which of the following statements are true?

The data points on the scatter plot suggest a positive correlation.

For every second that passes, about 1 additional megabyte is downloaded.

The function that represents the line of best fit is approximately d(t) = 1.04t + 0.51.

For every second that passes, about 0.5 additional megabyte is downloaded.

The function that represents the line of best fit is approximately d(t) = 0.51t − 1.04.

The linear equation c = 0.1998s + 76.4520 models the number of calories c in a beef hot dog as a function of the amount of sodium s, in milligrams, in the hot dog. What is the slope, and what does it mean in this context?

The slope is 0.1998. The number of calories is increased by 0.1998 for each 1 milligram increase in sodium.

The slope is 0.1998. The amount of sodium, in milligrams, is increased by 0.1699 for each increase of 1 calorie.

The slope is 76.4520. This is the number of calories in a beef hot dog with no sodium.

The slope is 76.4520. This is the amount of sodium, in milligrams, in a beef hot dog with no calories.

The linear equation c = 6.5n + 1500 models cost c, in dollars, to produce n toys at a toy factory. What is the c-intercept, and what does it mean in this context?

The c-intercept is 1500. It costs $1500 to run the factory if no toys are produced.

The c-intercept is 6.5. The cost increases by $6.50 for each toy produced.

The c-intercept is 6.5. The number of toys produced increases by about 6.5 for each $1 increase in cost.

The c-intercept is 1500. The factory can produce 1500 toys at no cost.

Unit 3 Assessment Review

Authored by Susan Chandler

Mathematics

8th - 12th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What could be the relationship statement for this scatter plot?

Ice cream sales depend on temperature.

As the outside temperature increases, the ice cream sales increase.

As the outside temperature decreases, the ice cream sales increase.

There is no relationship between sales and temperature.

Tags

CCSS.HSF-LE.A.1B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Students scored an average of 47 points when they studied

Students earned 1.4 more points when studying

Students who studied 0 minutes, earned an average of 47 points.

Tags

CCSS.HSF.LE.B.5

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Unit 3 Assessment Review

What could be the relationship statement for this scatter plot?

The regression line on this scatter plot shows what type of correlation?

Given this regression line information in Desmos, what is the equation of the regression line?

Given this regression information in desmos, you can describe the correlation as ...

Given this regression information in Desmos, what is the correlation coefficient?

Determine the real-world meaning of the slope of this line of best fit.

The regression line equation for this date is y = 1.4x + 47. What does the y-intercept represent in this scenario?

Given this regression information in Desmos, describe the type of correlation.

Given this regression information in Desmos, what is the regression equation?

Given the regression information in Desmos, what is the correlation coefficient?

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