Answer:
(A) There is a perfect correlation between the two variables.
(B) The line of best fit is, <em>y</em> = 6 <em>x</em> + 5.
(C) The slope of a regression line represents the average rate of change.
Intercept is the point where the line crosses the <em>x</em>-axis.
Step-by-step explanation:
(A)
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
Compute the correlation coefficient between the number of hours spent practicing and the score in the game using the Excel function "CORREL(array1, array2)".
The correlation coefficient between the number of hours spent practicing and the score in the game is 1.00.
This implies that there is a perfect correlation between the two variables.
(B)
Compute the line of best fit as follows:
Consider the points (1.5, 14) and (3.5, 26):
Thus, the line of best fit is, <em>y</em> = 6 <em>x</em> + 5.
(C)
The slope of a regression line represents the average rate of change in <em>y</em> caused by <em>x</em>.
The <em>y</em>-intercept is the value of <em>y</em> for <em>x</em> = 0, i.e. it is the point where the line crosses the <em>x</em>-axis.