Suppose you studying the relationship between time studied for the LSAT and score on the LSAT. To study this you randomly select 9 students who took the LSAT, ask them how long they prepared for the exam and then record their score. Hours Studied 80 100 120 120 150 160 180 200 210 Score (in points) 140 131 138 143 158 149 162 161 157 (a) Draw a scatterplot for this data. Make sure to label your axes. (b) Calculate the correlation coefficient for this data. Is there enough evidence for a correlation? Why or why not? (c) Give the equation of the least squares regression line for this data. (d) Interpret the slope of the LSR in the context of this situation. (e) What is the predicted score for a student who studies for 140 hours? Would you trust this prediction? Why or why not? (f) Calculate the residual for the LAST data point in your sample, the student who studied 210 hours and got a score of 157 points. Make sure to include units for your residual.
Suppose you studying the relationship between time studied for the LSAT and score on the LSAT. To study this you randomly select 9 students who took the LSAT, ask them how long they prepared for the exam and then record their score. Hours Studied 80 100 120 120 150 160 180 200 210 Score (in points) 140 131 138 143 158 149 162 161 157 (a) Draw a scatterplot for this data. Make sure to label your axes. (b) Calculate the correlation coefficient for this data. Is there enough evidence for a correlation? Why or why not? (c) Give the equation of the least squares regression line for this data. (d) Interpret the slope of the LSR in the context of this situation. (e) What is the predicted score for a student who studies for 140 hours? Would you trust this prediction? Why or why not? (f) Calculate the residual for the LAST data point in your sample, the student who studied 210 hours and got a score of 157 points. Make sure to include units for your residual.
Suppose you studying the relationship between time studied for the LSAT and score on the LSAT. To study this you randomly select 9 students who took the LSAT, ask them how long they prepared for the exam and then record their score. Hours Studied 80 100 120 120 150 160 180 200 210 Score (in points) 140 131 138 143 158 149 162 161 157 (a) Draw a scatterplot for this data. Make sure to label your axes. (b) Calculate the correlation coefficient for this data. Is there enough evidence for a correlation? Why or why not? (c) Give the equation of the least squares regression line for this data. (d) Interpret the slope of the LSR in the context of this situation. (e) What is the predicted score for a student who studies for 140 hours? Would you trust this prediction? Why or why not? (f) Calculate the residual for the LAST data point in your sample, the student who studied 210 hours and got a score of 157 points. Make sure to include units for your residual.
Suppose you studying the relationship between time studied for the LSAT and score on the LSAT. To study this you randomly select 9 students who took the LSAT, ask them how long they prepared for the exam and then record their score.
Hours Studied
80 100 120 120 150 160 180 200 210
Score (in points)
140 131 138 143 158 149 162 161 157
(a) Draw a scatterplot for this data. Make sure to label your axes.
(b) Calculate the correlation coefficient for this data. Is there enough evidence for a correlation? Why or why not?
(c) Give the equation of the least squares regression line for this data.
(d) Interpret the slope of the LSR in the context of this situation.
(e) What is the predicted score for a student who studies for 140 hours? Would you trust this prediction? Why or why not?
(f) Calculate the residual for the LAST data point in your sample, the student who studied 210 hours and got a score of 157 points. Make sure to include units for your residual.
Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.
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