Scatterplots Answers

Select the scatterplot that represents the data shown in the table.

Which of the following is the best approximation of the correlation coefficient for the data displayed in the scatterplot? X –1–0.50✔ 0.5X 1

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The scatterplot shows no correlation ✔ a positive correlation X a negative correlation

because the values of y X decrease ✔ increasestay the same as the values of x increase.

What is the best choice for the equation of the line of best fit shown? y = –2.5x + 25✔ y = –1.5x + 23y = 1.5x + 23y = –2.5x + 15

What would the value of y be for a point at x = 8? 8✔ 111523

The following data pairs represent the average temperature x (in degrees Fahrenheit) and electricity costs y (in dollars) for different homes: (65, 147), (59, 141), (71, 176), (78, 189), (82, 183), (85, 211),(88, 231), (91, 227), (84, 198), (79, 188), (63, 152), (59, 126)Which of the following values is most likely the closest to the correlation coefficient of the data?

Find the equation of the line of best fit and the correlation coefficient for the data shown. (1, 88), (2, 75), (3, 71), (4, 69), (5,66), (6, 68), (7, 50) Regression equation:

There is a linear correlation between the data.

Each data pair shown is of the form below: (years since purchase, value of car) Based on the correlation coefficient, there is a(n) linear correlation between the data.

Use the regression equation to estimate the value of the car 8 years after purchase. Round to the nearest dollar. $

As more years go by, the prediction (extrapolation) becomes ✔ lessequally more reliable.

A set of data has a correlation coefficientr = 0.15. Is it reasonable to use the line of best fit to make predictions from the data?

Explain your reasoning.

The fuel efficiency of one type of car is recorded in a scatterplot where the amount of gas used, x (in gallons), is paired with the distance traveled, y (in miles), for various trips. The equation for the line of best fit for the data is y = 28x. How can the y-intercept and slope of this line be interpreted?