Question

1. Given that the correlation between X and Y is -0.48, the mean and standard deviation of X are 3.4 and 8.3, the mean and the standard deviation of Y is 6.5 and 7.2 respectively. Find the slope for the line of best fit.

2. Given that the correlation between X and Y is -0.48, the mean and standard deviation of X are 3.4 and 8.3, the mean and the standard deviation of Y is 6.5 and 7.2 respectively. Find the y-intercept for the line of best fit.

3. Linear model:
predicted grade = 93 - 3 * (number of shows watched)
r = - 0.8

4. How much variation is accounted for by the model?

predicted y = - 3.84 * x + 7.81

R² = 49%

The correlation between X and Y is ____.

5. predicted y = 2.2 + 1.2 x
R² = 77.44%
The sum of all 56 residuals is ____.

Answer 1

1).given data are:-

the slope be:-

2).the y intercept be:-

3). predicted grade = 93 - 3 * (number of shows watched) , r = - 0.8

variation is accounted for by the model is :-

or 64 %

4).given that,

% = 0.49

The correlation between X and Y is:-

5).The sum of all 56 residuals is 0.

[ because we know that sum of residuals is always zero.]

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