Use a graphing calculator to determine which equation for the line of regression, Pearson product-moment correlation value (r),
and predicted value match the data in the chart. The chart below shows the number of hours a student spent studying for a math test and the score the student earned on the test. Hours Spent Studying | 0.5|1.25| 1.5 |1.75 |2 | 2.5 |3 |3.5 |4 |
Test Score,,,................ | 90 | 75| 60 | 83 |75| 80| 99| 97| ? |
A) y = 6.4x + 69.5, r = 0.48
Predicted test score for 4 hours of study equals 95.
B) y = 6.1x + 74.5, r = 0.48
Predicted test score for 4 hours of study equals 99.
C) y = 5.1x + 74.5, r = 0.88
Predicted test score for 4 hours of study equals 95.
D) y = 7.4x + 69.5, r = 0.88
Predicted test score for 4 hours of study equals 99.
Test Score,,,................ | 90 | 75| 60 | 83 |75| 80| 99| 97| ? |
A) y = 6.4x + 69.5, r = 0.48
Predicted test score for 4 hours of study equals 95.
B) y = 6.1x + 74.5, r = 0.48
Predicted test score for 4 hours of study equals 99.
C) y = 5.1x + 74.5, r = 0.88
Predicted test score for 4 hours of study equals 95.
D) y = 7.4x + 69.5, r = 0.88
Predicted test score for 4 hours of study equals 99.
1 answer:
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<u>Answer:</u>
The equation of a line, in point slope form that passes through (-2, -6) and has a slope of 1/3 is
<u>Solution:</u>
Given that line passes through (-2, -6) and has slope of 1/3
We have to find the equation of the line
The point slope form is given as
where m is the slope of the line and a, b are the x, y coordinates of the given point through which the line passes.
Here in this question, m = 1/3 and a = -2 and b = -6
By substituting in point slope form we get,
Hence the equation of a line, in point slope form that passes through (-2, -6) and has a slope of 1/3 is