Drawing Trend Lines Assignment and Quiz 100%

Which two points should the line of best fit go through to best represent the data in the scatterplot? (1, 3) and (2, 7) (1, 3) and (6, 13) (3, 8) and (5, 12) (5, 12) and (6, 13)

(3, 8) and (5, 12)

A clothing store experimented with the price of blue jeans to see if the price affects the number of pairs sold. The results are shown in the table.Price vs. Pairs of Blue Jeans SoldPrice ($), x182325293033Pairs sold, y161310862What is the approximate slope of the line of best fit given by a regression calculator? -0.98 -0.91 0.91 0.98

-0.91

You just found a positive trend line showing a strong relationship between homework scores and test scores for five students. Explain what this means.

A positive slope of the trend line comparing homework scores and test scores means that higher homework scores infer a higher test score.

Some students in a school were surveyed to determine how many hours they study per night and their grade-point averages. The results are shown in the table.Hours Studying per Night vs. Grade-Point AverageHours studying per night, xGrade-point average, y0.42.00.92.41.52.62.23.12.63.53.33.8If the data are entered into a regression calculator, what is the approximate y-intercept of the resulting regression line? -1.76 -0.63 0.63 1.76

1.76

The table contains data for five students: hours slept, x, and corresponding test scores, y. Use the regression calculator to make a scatterplot with a trend line. Based on the trend line, what score would you expect after sleeping for 5 hours? As the number of hours sleeping increases, the corresponding test score

72 tends to increase

The table contains data for five students: hours studied, x, and corresponding test scores, y. Use the regression calculator to make a scatterplot with a trend line. Based on the trend line, what score would you expect after studying for 5 hours? As the number of hours studying increases, the coressponding test score

86 tends to increase

Based on the trend lines you just generated, which of these statements are true? Check all that apply. Both scatterplots had trend lines with positive slopes. The same test score is expected from studying for 5 hours or sleeping for 5 hours. There is no correlation between the test scores and the number of hours slept. The regression line can predict the number of hours studied based on the number of hours slept. There is evidence that those with higher test scores tended to sleep more the night before.

Both scatterplots had trend lines with positive slopes. There is evidence that those with higher test scores tended to sleep more the night before.

Peter attempted to use the divide-center method to find the line of best fit on a scatterplot.What was his mistake? He had a different number of points to the left of the vertical line than to the right of the vertical line. He had a different number of points above the line of best fit than below the line of best fit. He didn't approximate the center of the cluster located on the left side of the vertical line and of the cluster located on the right side of the vertical line. He didn't connect the centers of the clusters on the left side and right side of the vertical line to produce the line of best fit.

He had a different number of points to the left of the vertical line than to the right of the vertical line.

Before data is entered into the regression calculator, some data may be excluded. Explain why the data pair (0, 100) was excluded for the comparison of hours slept the night before and the test score. Describe what this data point represents. If it was included, would the trend line describe the data well?

Outliers should be excluded when producing a trend line, regardless of the method used. The student got a score of 100 with no sleep. This data pair was a rare event. If the outlier was included, it would cause the trend line to misrepresent the typical data relationship.

The equation of the line is y almost-equals negative 1.02 x + 7.09. Using the line, she predicted that when the value of x is 0.5, the value of y will be approximately 7.6. What was her mistake? She drew the line of best fit incorrectly. She used the line of best fit to predict y for an incorrect value of x. She forgot the minus sign before the first term on the right side of the equation when she predicted y. She plugged 0.5 into the equation for y instead of x and actually predicted x instead of y.

She forgot the minus sign before the first term on the right side of the equation when she predicted y.

ames needs to draw the trend line for both scatterplot A and scatterplot B.Scatterplot AScatterplot BWhich of these statements is correct? The trend line for scatterplot A will have a positive slope, and the trend line for scatterplot B will have a positive slope. The trend line for scatterplot A will have a positive slope, and the trend line for scatterplot B will have a negative slope. The trend line for scatterplot A will have a negative slope, and the trend line for scatterplot B will have a positive slope. The trend line for scatterplot A will have a negative slope, and the trend line for scatterplot B will have a negative slope.

The trend line for scatterplot A will have a negative slope, and the trend line for scatterplot B will have a positive slope.

Tim is investigating the relationship between the number of years since a tree was planted and the height of the tree in feet. His data are shown in the table.Years Since Tree was Planted vs. Height of TreeYears since tree was planted, xHeight of tree in feet, y217325542647754969Using a regression calculator, what is a good prediction for the height of the tree when it is 100 years old? A good prediction for the height of the tree when it is 100 years old is about 315 feet because that is what the trend line, , produced by the regression calculator predicts. A good prediction for the height of the tree when it is 100 years old is about 739 feet because that is what the trend line, , produced by the regression calculator predicts. There is not a good prediction for the height of the tree when it is 100 years old because the trend line produced by the regression calculator does not give a prediction. There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.

There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.

The table contains data for five students: homework scores, x, and corresponding test scores, y. The regression line shows a: negative trend line with a strong relationship. negative trend line with a weak relationship. positive trend line with a strong relationship. positive trend line with a weak relationship.

positive trend line with a strong relationship.

If the data in the table were entered into a regression calculator to produce a scatterplot and trend line, which window size would display all the points?xy25516620102912361753

b

What is the equation of the line of best fit given by a regression calculator for the data in the table?x5912182635y36547298141189

b

Which regression line properly describes the data relationship in the scatterplot?

c

In this assignment, you will investigate the relationship between test scores and other variables. First, you will see if the number of hours spent studying for a test affect the test score. Then you will see whether the number of hours slept the night before affect the test score. And finally, you will see if homework scores affect test scores. Once you determine the relationships that may be present, you can compare and interpret the trend lines for those relationships. Based on the description of the scenario, which of the variables is the dependent variable? Along which axis is the dependent variable traditionally plotted?

test score y-axis