There does not appear to be a linear relationship between the high school girls' height and their IQ scores.
How to determine the scatter plot
The complete question is added as an attachment
To plot the scatter plot, we make use of the following representations:
- Height is plotted on the x axis
- IQR is plotted on the y axis
Next, we enter the values in a graphing calculator.
From the summary on the graphing calculator, we can conclude that the scatter plot is (c)
The sample correlation coefficient
To determine the sample correlation coefficient, we make use of the following representations:
- Height is plotted on the x axis
- IQR is plotted on the y axis
Next, we enter the values in a graphing calculator.
From the graphing calculator, we have the following summary:
X Values
- ∑ = 501
- Mean = 62.625
- ∑(X - Mx)2 = SSx = 107.875
Y Values
- ∑ = 834
- Mean = 104.25
- ∑(Y - My)2 = SSy = 813.5
X and Y Combined
- N = 8
- ∑(X - Mx)(Y - My) = -19.25
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = -19.25 / √((107.875)(813.5))
r = -0.065
Hence, the sample correlation coefficient is -0.065
Interpret the sample correlation coefficient
In (b), we have:
r = -0.065
This means that there is a negative correlation
i.e. There does not appear to be a linear relationship between the high school girls' height and their IQ scores.
The critical correlation coefficient
To do this, we have:
Number of pairs, n = 8
Significance level =0.01
Using a graphing calculator;
At 0.01 significance level, the critical correlation coefficient is 0.7887
0.7887 is greater than 0.01
This means that we accept the null hypothesis.
Read more about correlation at:
https://brainly.com/question/17237825
#SPJ1
