WorksheetsLinear regression
Total questions: 14
Worksheet time: 15mins
The diagram shows a scatter plot of a bivariate data. Which of the following is the correlation coefficient?
r = -0.95
r=0.75
r=0.35
r=–0.55
The diagram shows a scatter plot of a bivariate data. Which of the following is the correlation coefficient?
r=0.5
r=0.9
r=1
r=0
The diagram shows a scatter plot of a bivariate data. Which of the following is the correlation coefficient?
r=0.7
r=–0.7
r=0.95
r=–0.95
The diagram shows a scatter plot of a bivariate data. Which of the following is the correlation coefficient?
r=0.95
r=–1
r=–0.95
r=1
The diagram below a scatter plot of a bivariate data. Which of the following is the correlation coefficient?
r=1
r=–1
r=0.95
r=–0.95
The line of best fit of the following data has the equation y = 0.97x +1.02. Which of the following scatter plots shows the line drawn correctly?
Which of the following scatter plots represents data with a Pearson correlation coefficient close to −1?
Which of the following scatter plots represents data with a moderate positive linear correlation?
Hay-Lin collects data on the height and weight of Olympic athletes. She determines the Pearson correlation coefficient to be 0.66. Which of the following statements is correct?
The data show no correlation.
The data show a strong, positive correlation.
The data show a moderate, positive correlation.
The data show a weak, positive correlation.
Tristan is studying the relationship between reaction time in seconds to the score achieved in a computer game. He intends to predict the score from measuring reaction time of certain players. The following data is available to use for his prediction.
What is the gradient (slope) for the line of best fit? Give your answer rounded to the nearest integer.
[Answer format: 0000]
Tristan is studying the relationship between reaction time in seconds to the score achieved in a computer game. He intends to predict the score from measuring reaction time of certain players. The following data is available to use for his prediction.
What is the y-intercept for the line of best fit? Give your answer to three significant figures.
[Answer format: 0000]
Saleem believes there is a relationship between the number of hours of sleep (y) and age (x). He intends to predict the amount of sleep from the age of a person. The following data is available to use for his prediction.
What is the y-intercept for the line of best fit? Give your answer to three significant figures.
Consider bivariate data presented here. Use the regression line to estimate the value of y when x = 50 and comment on the reliability of this estimate.
y≈47.2, the correlation is strong and this is an interpolation, so the estimate is reliable
y≈30.6, the correlation is strong and this is an interpolation, so the estimate is reliable.
y≈30.6, but the correlation is weak, so the estimate is not reliable.
y≈47.2, but the correlation is weak, so the estimate is not reliable.
Consider the following bivariate data. Use the regression line to estimate the value of y when x=88 and comment on the reliability of this estimate.
y≈55.7, but the correlation is weak, so the estimate is not reliable.
y≈169, the correlation is strong and this is an interpolation, so the estimate is reliable.
y≈169, but this is an extrapolation, so the estimate is not reliable.
y≈55.7, the correlation is strong and this is an interpolation, so the estimate is reliable.
