$[$Q$1]$ Conduct a "Correlation" analysis to examine if there are linear relationships among the four importance variables in the AFC dataset $("$Importance: General Health and Fitness $[$fitness$]",$ "Importance: Social Aspects $[$social$]",$ "Importance: Physical Enjoyment $[$enjoy$]",$ and "Importance: Specific Medical Concerns $[$medical$]").(3$ pts$)$

$(1)$ First, show your work $($e$.$g$.,$ copying$/$pasting your output from SPSS directly to a Word file, taking a screenshot, or attaching the separate SPV file$).(1$ pt$)$

$(2)$ Which two importance variables have the highest Pearson Correlation coefficient? $(1$ pt$)$

$(3)$ Which two importance variables have the smallest Pearson Correlation coefficient? $(1$ pt$)$

$[$Q$2]$ Conduct a "One Sample t$-$test" analysis to examine whether the average ratings of all four importance variables are equal to the mid$-$point of $5-$point scale questions. You need to run one$-$sample $t-$tests four times with a fixed value of $3,$ using the same four importance variables as Q$1.(3$ pts$)$

$(1)$ First, show your work $($e$.$g$.,$ copying$/$pasting your output from SPSS directly to a Word file, taking a screenshot, or attaching the separate SPV file$).(2$ pts$)$

$(2)$ What is your conclusion of the test when the significance level is $0\mathrm{.}05?$ What variables are statistically significant? $(1$ pt$)$

$[$Q$3]$ Conduct a "Paired$-$Samples t$-$test" analysis to examine whether the average rating of the variable, Importance: Specific Medical Concerns, is different from all the other three importance variables. You need to run paired$-$sample t$-$tests, making the three pairs of variables as below. $(3$ pts$)$

$1^{st}$ pair: Importance: Specific Medical Concerns and Importance: General Health and Fitness

$2^{nd}$ pair: Importance: Specific Medical Concerns and Importance: Social Aspects

$3^{rd}$ pair: Importance: Specific Medical Concerns and Importance: Physical Enjoyement

$(1)$ First, show your work $($e$.$g$.,$ copying$/$pasting your output from SPSS directly to a Word file, taking a screenshot, or attaching the separate SPV file$).(2$ pts$)$

$(2)$ What is your conclusion of the test when the significance level is $0\mathrm{.}05?$ What pairs are statistically significant? $(1$ pt$)$