[Solved] MATH399N Week 8 Assignment: Uses of Linear Regression

Question

Identify the scatter plot that has one or more outliers. Select all that apply.

Question

Suppose you computed r=0.142 using n=82 data points. Using the critical values table below, determine if the value of r is significant or not.

df CV (+ and -) df CV (+ and -) df CV (+ and -) df CV (+ and -)
1 0.997 11 0.555 21 0.413 40 0.304
2 0.950 12 0.532 22 0.404 50 0.273
3 0.878 13 0.514 23 0.396 60 0.250
4 0.811 14 0.497 24 0.388 70 0.232
5 0.754 15 0.482 25 0.381 80 0.217
6 0.707 16 0.468 26 0.374 90 0.205
7 0.666 17 0.456 27 0.367 100 0.195
8 0.632 18 0.444 28 0.361
9 0.602 19 0.433 29 0.355
10 0.576 20 0.423 30 0.349

Question

The table shows data collected on the relationship between the average daily temperature and time spent watching television. The line of best fit for the data is yˆ=−0.66x+88.5.

(a) According to the line of best fit, the predicted number of minutes spent watching television for an average daily temperature of 46 degrees is 58.14.

(b) Is it reasonable to use this line of best fit to make the above prediction?

Question

The table shows data collected on the relationship between the average daily temperature and time spent watching television. The line of best fit for the data is yˆ=−0.66x+88.5. Assume the line of best fit is significant and there is a strong linear relationship between the variables.

  • According to the line of best fit, what would be the predicted number of minutes spent watching television for an average daily temperature of 46 degrees? Round your answer to two decimal places, as needed.

Question

Given that n=82 data points are collecting when studying the relationship between average daily temperature and time spent watching television, use the critical values table below to determine if a calculated value of r=−0.974 is significant or not.

df CV (+ and -) df CV (+ and -) df CV (+ and -) df CV (+ and -)
1 0.997 11 0.555 21 0.413 40 0.304
2 0.950 12 0.532 22 0.404 50 0.273
3 0.878 13 0.514 23 0.396 60 0.250
4 0.811 14 0.497 24 0.388 70 0.232
5 0.754 15 0.482 25 0.381 80 0.217
6 0.707 16 0.468 26 0.374 90 0.205
7 0.666 17 0.456 27 0.367 100 0.195
8 0.632 18 0.444 28 0.361
9 0.602 19 0.433 29 0.355
10 0.576 20 0.423 30 0.349

Question

Which of the following points is most likely an outlier in the scatter plot above? Select all that apply.

Question

Of the scatter plots below, which has one or more outliers?

Question

Determine which of the following scatter plots has one or more outliers. Select all that apply.

Question

Suppose you computed r=0.659 using n=32 data points. Using the critical values table below, determine if the value of r is significant or not.

df CV (+ and -) df CV (+ and -) df CV (+ and -) df CV (+ and -)
1 0.997 11 0.555 21 0.413 40 0.304
2 0.950 12 0.532 22 0.404 50 0.273
3 0.878 13 0.514 23 0.396 60 0.250
4 0.811 14 0.497 24 0.388 70 0.232
5 0.754 15 0.482 25 0.381 80 0.217
6 0.707 16 0.468 26 0.374 90 0.205
7 0.666 17 0.456 27 0.367 100 0.195
8 0.632 18 0.444 28 0.361
9 0.602 19 0.433 29 0.355
10 0.576 20 0.423 30 0.349

Question

Given that n=23 data points are collecting when studying the relationship between average daily temperature and time spent sleeping, use the critical values table below to determine if a calculated value of r=−0.256 is significant or not.

df CV (+ and -) df CV (+ and -) df CV (+ and -) df CV (+ and -)
1 0.997 11 0.555 21 0.413 40 0.304
2 0.950 12 0.532 22 0.404 50 0.273
3 0.878 13 0.514 23 0.396 60 0.250
4 0.811 14 0.497 24 0.388 70 0.232
5 0.754 15 0.482 25 0.381 80 0.217
6 0.707 16 0.468 26 0.374 90 0.205
7 0.666 17 0.456 27 0.367 100 0.195
8 0.632 18 0.444 28 0.361
9 0.602 19 0.433 29 0.355
10 0.576 20 0.423 30 0.349

Question

The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is yˆ=−0.36x+94.5.

(a) According to the line of best fit, the predicted number of minutes spent with family for someone who spent 36 minutes playing video games is 81.54.

(b) Is it reasonable to use this line of best fit to make the above prediction?

Question

The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is yˆ=−0.36x+94.5.

Assume the line of best fit is significant and there is a strong linear relationship between the variables.

  • According to the line of best fit, what would be the predicted number of minutes spent with family for someone who spent 36 minutes playing video games? Round your answer to two decimal places.

 

 

Solution

Question

Identify the scatter plot that has one or more outliers. Select all that apply.

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