The table below gives the number of hours five randomly selectedstudents spent studying and their corresponding midterm examgrades. Using this data, consider the equation of the regressionline, yˆ=b0+b1xy^=b0+b1x, for predicting the midterm exam gradethat a student will earn based on the number of hours spentstudying. Keep in mind, the correlation coefficient may or may notbe statistically significant for the data given. Remember, inpractice, it would not be appropriate to use the regression line tomake a prediction if the correlation coefficient is notstatistically significant.
Hours Studying | 11 | 22 | 33 | 44 | 55 |
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Midterm Grades | 7070 | 7777 | 8484 | 8888 | 9595 |
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1. Find the estimated slope. Round your answer to three decimalplaces.
2.Find the value of the coefficient of determination. Round youranswer to three decimal places.
3.Find the estimated y-intercept. Round your answer to threedecimal places
4.Determine the value of the de[endent variable of ^y at x=0
5.According to the equation of the regression line, if theindependent variable is increased by one unit what is the change inthe dependent variable y?
6.Not all points predicted by the linear model fall on the sameline True or False
7.Substitute the values found in 1 and 2 in to the equation inthe regression line to find the linear model.According to thismodel, if the value of the independent variable is increased by oneunit, then find the dependent variable y.